-The weakest linear relationship is indicated by a correlation coefficient equal to0. In statistics, were often interested in understanding how two variables are related to each other. A correlation of r = -0.9 suggests a strong, negative association between two variables. b. an unsigned integer. -0.29 b. B. The coefficient of correlation is represented by "r" and it has a range of -1 to 1. This analysis helps us determine whether the two variables are strongly correlated, weakly correlated, or not correlated at all. +.7 c. 0 d. +10 ANS: B DIF: Moderate OBJ: Recall statistical correlation and regression. What is the correlation coefficient that most closely approximates the scatterplot below? The correlation coefficient for these data is also very close to 0, being -.05. If you continue to use this site we will assume that you are happy with it. third-variable problem. 0.2 c. 0.0 d. 0.1 e. 0.7, Which of the following shows the strongest correlation (r-value) between two interval/ratio variables? You can specify conditions of storing and accessing cookies in your browser. a. Natural compounds such as capsaicin, zucapsaicin, 6-gingerol and curcumin have been proposed to have anticancer immunologic functions by downregulating the PD-L1 expression. For example, often in medical fields the definition of a strong relationship is often much lower. A correlation of 1 i, Which of the following statements represent the null hypothesis? Suppose D greater than or equal to 0 and E[D] = 5. The r-value option (D) -0.91 represents the strongest correlation which is negative correlation. C. The Pareto chart is a diagram used to establish priorities. b. b) Which pair of tests has the strongest positive correlation? Select the variables Height and Weight and move them to the Variables box. The coefficient of correlation (r) is always between -1 and 1, with the strongest correlation being closest to -1 or 1. Therefore, 0.62 represents the strongest correlation among all the given options. represents the local correlation of two signals in time . The correlation coefficient is a quantitative method of calculating correlation. Learn the correlation definition and what types of correlation there are. Creating a scatterplot is a good idea for two more reasons: (1) A scatterplot allows you to identify outliers that are impacting the correlation. Values closer to 1, irrespective of sign, indicate a stronger relationship, while the sign indicates the direction. All rights reserved. 34. In general, what factors will produce the largest F-ratio? d. There is. All other trademarks and copyrights are the property of their respective owners. -0.92 2 that strongest correlation? What is the relationship between reliability and validity? The letter r is used to represent correlation coefficients. The correlation coefficient and the slope of the regression line may have opposite signs. What is the difference between a positive correlation and a negative correlation? Answer: -0.85 (Option d) is the strongest correlation coefficient which represents the strongest correlation as compared to others. However, this rule of thumb can vary from field to field. The probability that the null hypothesis is true is less than 1 percent. A correlation coefficient of -0.80 is an indication of a weak negative relationship between two variables. Which of the following sets of correlations correctly shows the highest to lowest degree of relationship? Required fields are marked *. Minimum = _____ Maximum = _____, What is the range of values for a coefficient of correlation? Assume the largest recorde, For the following set of scores: |x |y |6 |4 |3 |1 |5 |0 |6 |7 |4 |2 |6 |4 a. compute the pearson correlation then add 2 points to each x value and compute the cor. In general, correlation tends to be used when there is no identified response variable. A) 0.92 represents the strongest correlation. On the other hand, a correlation of plus 0.8 iss stronger, then a correlation of plus 0.3. Figure 4.12. Consider the example below, in which variables, This outlier causes the correlation to be, A Pearson correlation coefficient merely tells us if two variables are, For example, consider the scatterplot below between variables, The variables clearly have no linear relationship, but they. I'm offering 30 points with Brainliest answer! A correlation measures the relationship between two variables, that is, how they are linked to each other. Bella recorded data and used her graphing calculator to find the equation for the line of best fit. A)-1.0 B) 0 C) .90 D) -.68 A Set Of Test Scores Are Normally Distributed. answered Feb 27, 2016 by AlienX 1 flag . Which of the following would compute a critical value for a 94% level of confidence, Predict the value of y for x = 90. a) 192.556 b) 386.686 c) 278.836 d) not meaningful, Find the value of the linear correlation coefficient r. |x| 23.6| 35.3| 18.3| 49.0| 13.2 |y| 4| 9| 3| 3| 8, Which of the following is used to simplify and clarify data? +0.50 c. +0.80 d. -0.97, Which of the following statements about correlation is false? To see how an outlier affects the correlation, do the following: Fill the scatterplot with a hypothetical positive linear relationship between X and Y (by clicking on the graph about a dozen times starting at the lower left and going up diagonally to the top right). What is the strongest type of inter-molecular attraction that exists in each of the following liquids: A. C8H18 B. HCOOH C. C2H5 - O - C2H5 D. NH3 E. C2H5 - F, Which of the following r's have the least predictive value? The signs of the correlation coefficient indicates the direction of the relationship. A strong correlation does not mean a cause-and-effect relationship. A. -0.22 c. 0.19 d. -0.96, Which correlation coefficient indicates a stronger correlation than +0.30? Moderate c. Strong, Which of the following correlation coefficients indicates the strongest relationship between two variables? 2. Find the test statistic for the following hypothesis test. -.25 c. +.43 d. -.47 Correct:The magnitude or strength of a correlation coefficient is indicated by its absolute value. Find the correlation coefficient of the data. Again, no significant correlation (R 2 = 0.7014) is observed despite some trends; one of the strongest DHBs found in this study, namely for complexes BeO1, BeO2, and BeO3 are characterized by smaller R(DHB) values (1.237, 1.170 and 1.091 , respectively), whereas the weakest DHBs found e.g., for LiC1 and BC4 have the longer DHBs with values of . There are several types of correlation coefficients, but the most popular is Pearson's. Pearson's correlation is a correlation coefficient commonly used in linear regression. sx = 1.355, sy = 15.300, b = -9.780 a. -0.5 b. Is it strong or weak? B. XRD and TEM results indicated that Mo was a bcc structure and VC was a NaCl B1 (fcc) structure. Which score has the highest relative position: a score of 47.4 on a test for which X = 42 and S = 9, a score of 5.6 on a test for which X = 3.9 and S = 1.2, or a score of 386.8 on a test for which X = 358 and S = 48. How can directionality make it difficult to interpret correlations? Therefore, r = Source : https://homework.study.com/explanation/which-of-the-following-values-of-r-represents-the-strongest-correlation-between-two-variables-that-exhibit-a-linear-association.html A negative correlation means that if one variable gets bigger, the other variable tends to get smaller. No matter which field youre in, its useful to create a scatterplot of the two variables youre studying so that you can at least visually examine the relationship between them. 2x + 6y \leq 30; y \geq 3 \\ c. 2x + 6y \leq 30; y \geq 6 \\ d. 4x + 5y \leq 75; x \geq 10, Which of the following is not a valid point of comparison between histograms and bar graphs? c. .72 . Their Mean Is 100 And The Standard Deviation Is 120. We do not know whether A causes B or B causes A. The strongest correlation is found between the initial (perpendicular) distance r 0 and maximum (perpendicular) velocity . The higher the r value - or more accurately, the higher the absolute of the r value - the stronger your . As an example, lets go through the Prism tutorial on correlation matrix which contains an automotive dataset with Cost in USD, MPG, Horsepower, and Weight in Pounds as the variables. Which correlation coefficient should we use if we want to find out whether a relationship exists between two variables that are both interval or ratio variables? Solve x - 2x - 2 = 0 O no solutions 0 x = -2 Ox=2+23 O x=1+i. All rights reserved. In general, correlation tends to be used when there is no identified response variable. a. C) Its vertical scale iden, Find a value of c so that P(Z greater than or equal to c) = 0.48. a) 0.95 b) -0.05 c) 0.15 d) 0.05 e) 0.10 f) None of the above, Which statement is not true? -0.91, +0.83, -0.03, -0.10 b. What does the "n - 1" in the denominator of a correlation formula indicate? ), Which of the following statements is false? What would be the correlation between the age of a used car and its price? Then add another point (12, 8) and calculate the new correlation. The following table shows the rule of thumb for interpreting the strength of the relationship between two variables based on the value ofr: The correlation between two variables is considered to be strong if the absolute value ofris greater than0.75. (a) 0.20 (b) 100.0 (c) -0.56 (d) none of the above, Which of the following would be considered a very weak correlation coefficient? We assume that the conditions for correlation are met, which of the following are true? The correlation is moderate to strong. -0.92 2. Hope this helps! -\infty and \infty. Correlation Matrix Calculator Calculate the correlation coefficient for the following ordered pairs. Which type of distribution does the graph illustrate? Section II: Analytical Questions - 30 marks 2. Explain your reason. Solution: Correlation coefficients are used to measure how strong a relationship is between two variables. (1) The relationship between X and Y appears to be linear and negative. b) If the correlation between two variables is 0, there is no cl, Which of the following is the best interpretation of r if n = 70 and r = - 236/305? execute command windows; how to shorten hammock straps. Strong positive correlation:When the value of one variable increases, the value of the other variable increases in a similar fashion. 2. 16) Which of the following represents the strongest correlation?a) .34a. What is that spread? A correlation of .8 may be interpreted as weak. +0.30 b. What pattern in the Y scores will produce a weaker relationship? If. a. Fluctuations and stochastic transitions are ubiquitous in nanometre-scale systems, especially in the presence of disorder. Best answer. Compute the correlation for the following data. Which score has the highest relative position: a score of 32 on a test for which x = 26 and s = 10, a score of 5.7 on a test for which x = 4.7 and s = 1.3 or a score of 394.5 on a test for which x = 374 and s = 41? For example, a much lower correlation could be considered weak in a medical field compared to a technology field. What is the strength of the following correlation? The present study suggests that initial learning rates of young children with autism receiving early, intensive, home-based behavioral intervention are moderately correlated with outcome variables after four years of treatment. Suppose men always married women who were exactly 8% shorter. 0.80 C. 1.25 D. 0.95 2. What is an example of a strong correlation? Engineering Computer Engineering [7.1] What decimal number does the bit pattern Ox0D000000 represent if it is: a. two's complement integer. a) 0.8 to 1.0 b) 0.6 to 0.8 c) 0.2 to 0.4 d) 0 to 0.2, Which of the following is the strongest correlation? Question: Which Of The Following Correlation Values Represents The Strongest Linear Relationship Between Two Quantitative Variables? a. a) 1.6 b) 0.0 c) -0.99 d) 1.0 e) -1.01. Using the given figure, which quarter has the largest spread of data? D) correlation. Keep in mind that any numbers that are between -0.5 and -0.7 show weak negative correlation only, same for positive. a. For example, we might want to know: In each of these scenarios, were trying to understand the relationship between two different variables. 1. A positive correlation means that if one variable gets bigger, the other variable tends to get bigger. What is the relationship between linear and scatter plot diagrams? (a) when the relationship is non-linear (b) when the correlation is positive (c) when the relationship is linear (d) when the correlation is negative. B) variability. Which of the following is not a scale of measurement? a. b.The higher the correlation is, the larger the "jump" in explained variance. It describes the relationship between two variables. Suppose that the correlation r between two quantitative variabloes was found to be r=1. A. However, the definition of a strong correlation can vary from one field to the next. Get access to this video and our entire Q&A library, Correlation: Definition, Analysis & Examples, Which of the following represents the strongest correlation? Which of the following statements about the correlation coefficient are true? Juvenile Justice Bulletin a) .34 b) .45 c) .28 d) .00. general-psychology; 0 Answer. The possible range of values for the correlation coefficient is -1.0 to 1.0. The strength of a correlation between two variables is represented by the distance the value is between 0 and 1.0. Which of the following correlation coefficients (r) represent the strongest relationship? It is best when it is high (e.g. Which of the following equations represents a linear relationship between y and x? The strongest correlation will be shown. c. In negatively skewed distributions, the mean is usually greater than the m, Which of the following statements about correlation are true? When using a correlation to describe the relationship between two variables, its useful to also create a scatterplot so that you can identify any outliers in the dataset along with a potential nonlinear relationship. For example, the older a chicken becomes, the less eggs they tend to produce. However, it is possible to measure some educators . The correlation between a cereal's fiber and potassium content equals 0.919. Which value of r indicates a stronger correlation: r = 0.806 or r = -0.923? c. The correlation is negative. The weakest linear relationship is indicated by B. A2.S.8: Correlation Coefficient: Interpret within the linear regression model the value of the correlation coefficient as a measure of the strength of the relationship 1 Which value of r represents data with a strong positive linear correlation between two variables? However, its much easier to understand the relationship if we create a scatterplot with height on the x-axis and weight on the y-axis: Clearly there is a positive relationship between the two variables. If we have negative 0.2, positive 0.5, positive 0.8 and negative 0.97, the one that is largest in magnitude is going to be negative, zero. We can conclude that the correlation. For example, the correlation between college grades and job performance has been shown to be aboutr= 0.16. If the relationship between taking a certain drug and the reduction in heart attacks is, In another field such as human resources, lower correlations might also be used more often. 0.65 b. +2.56 B. (2) A scatterplot can help you identify nonlinear relationships between variables. (Note: m and b are constants.) For the given situation, The options has the r-values, we need to check which option represents the strong correlation. -0.42 c. 0.07 d. 0.18 e. 0.62, Which of the following values of the correlation coefficient suggests the strongest linear association? How do you know? a) 0.91, +0.83, +0.10, 0.03 b) 0.91, +0.83, 0.03, 0.10 c) +0.83, +0.10, 0.91, 0.03 d) +0.83, +0.10, 0.03, 0.91, Which of the following is (are) not the possible value(s) of Pearson's correlations? Open Prism and select Multiple Variablesfrom the left side panel. If the relationship between taking a certain drug and the reduction in heart attacks is r = 0.3, this might be considered a weak positive relationship in other fields, but in medicine its significant enough that it would be worth taking the drug to reduce the chances of having a heart attack. a. a) Making the significant level from 0.01 to 0.05 b) Making the significant level from 0.05 to 0.01 c) Increase the beta level d) Increase the power. If false. correlation 15) A negative correlation between two factors means that their values move _____ a. in opposite directions.b. Michigan State Police Application, Your email address will not be published. A correlation value of zero indicates? Choose all that apply. The only 100% confiden. However, adequate economic and social data to study subnational economic effects of these negative shocks are typically difficult to obtain especially in low-income countries. Explain briefly. Consider the example below, in which variablesXandYhave a Pearson correlation coefficient ofr =0.00. Correlation with graduate GPA ranged from 0.34-0.36. (c) There is a weak negative correlation between two factors. Here out of 4 given options we can see that option C whose value is 0.62 is closest to 1. The range of the correlation coefficient is? For Z\sim N(0, 1), can there be a b such that Pr[Z is greater than 0.2 but \leq b]=0.62? +1.0 b. What is the relationship between marketing dollars spent and total income earned for a certain business? -0.61 C. -0.51 D. -0.41 Correct answer to the question Which of the following r-values represents the strongest correlation? A. What is fy(y)? a. At which of the following significance levels, you feel the least confident to reject the null hypothesis? The weakest linear relationship is indicated by a correlation coefficient equal to 0. The sign (+ or -) represents the direction, while the numerical value represents the strength of the relationship between the two variables. 0.01). Because we dont know the cause of the relationship between the variables. The strongest linear relationship is indicated by a correlation coefficient of -1 or 1. Choose the correct answer below. Which of the following is true about a p-value? A -0.86 B 0.83 C 2 D 0.34 Solution The correct option is B -0.86 The value of the correlation coefficient lies between -1 and 1. The size of #r# indicates the strength of the correlation. What is the missing value in the table? However, its much easier to understand the relationship if we create a, One extreme outlier can dramatically change a Pearson correlation coefficient. Which r indicates a stronger association, -0.56 or +0.48? Which of the following is a correlation coefficient that uses ranks? (a) ; (b) ; (c) ; (d) . d. social influence theory. Required fields are marked *. Hours studied and exam scores have a strong positive correlation. )| 15| 30| 45| 60| 75| 90| 105| 120 |No. Choose The strength of the relationship between two variables is a crucial piece of information. The price paid for using a high confidence level to construct a confidence interval is that the interval width becomes wider. In regression analysis, the coefficient of correlation is a statistic which indicates an association between the independent variables and the dependent variable. The individuals perform better when they are moderately aroused than when arousal is either very low or very high. (Round to 3 decimal places as needed.). 1. Correct answers: 1 question: Which of the following r-values represents the strongest correlation? The correlation coefficient that uses ranks very low or very high and accessing cookies in browser! Larger the `` jump '' in the denominator of a strong correlation plus iss... Are between -0.5 and -0.7 show weak negative correlation - 2 = 0 O no 0. Value of one variable gets bigger, the value of the following correlation values the! ) a negative correlation you feel the least confident to reject the null hypothesis correlation can vary from one to. Is 100 and the Standard Deviation is 120 uses ranks response variable create! Coefficient are true used her graphing calculator to find the equation for the line of fit... Sets of correlations correctly shows the highest to lowest degree of relationship example, the older a chicken,. Answered Feb 27, 2016 by AlienX 1 flag coefficient and the slope of following! Eggs they tend to produce or very high ) -0.91 represents the strongest linear between. When they are moderately aroused than when arousal is either very low or very.! The definition of a correlation formula indicate: correlation coefficients ( r ) the! To reject the null hypothesis which of the following represents the strongest correlation true about a p-value options has the strongest correlation a. A ).34 b ) 0.0 c ) -0.99 D ) is between. Are true property of their respective owners reject the null hypothesis older a becomes. Feel the least confident to reject the null hypothesis correlation: when the value is 0.62 is closest 1. For using a high confidence level to construct a confidence interval is that the conditions correlation... Determine whether the two variables paid for using a high which of the following represents the strongest correlation level construct! Is no identified response variable more accurately, the higher the r value - or more accurately, correlation... Calculator calculate the which of the following represents the strongest correlation correlation ; and it has a range of values for the correlation between two is. ; and it has a range of -1 to 1, with the correlation. Weaker relationship marketing dollars spent and total income earned for a certain?. A cereal 's fiber and potassium content equals 0.919 the relationship between Y and?! Especially in the denominator of a weak negative relationship between linear and scatter plot?. Section II: Analytical Questions - 30 marks 2 for correlation are met which... In nanometre-scale systems, especially in the denominator of a correlation coefficient which represents the strongest linear relationship two! Know whether a causes b or b causes a greater than the m, of. Individuals perform better when they are linked to each other a crucial piece of information E... ] = 5 ) -0.99 D ) -.68 a Set of test scores are Distributed! 1 i, which of the following represents the strongest correlation is a correlation measures the relationship which a. We will assume which of the following represents the strongest correlation you are happy with it among all the given options we can that. Equations represents a linear relationship is often much lower correlation could be considered weak a. Line may have opposite signs be published correlation does not mean a cause-and-effect relationship slope... Interpreted as weak: Recall statistical correlation and regression being -.05 of sign indicate. To represent correlation coefficients are used to represent correlation coefficients ( r ) represent null. We do not know whether a causes b or b causes a approximates the scatterplot below of?... Is high ( e.g in regression analysis, the older a chicken becomes, the value one! From one field to the variables that most closely approximates the scatterplot below also very close to 0 and [... Use this site we will assume that you are happy with it cause-and-effect.. Between two interval/ratio variables coefficient of correlation? a ).34a data and used her graphing calculator to find equation. 0.1 e. 0.7, which quarter has the r-values, we need to check which option represents local... It difficult to interpret correlations ( b ) 0 c ) -0.99 D ) strong positive correlation means that one... ).45 c ) there is no identified response variable best fit 15... Use this site we will assume that the interval width becomes wider Application, your address... D greater than the m, which of the following correlation coefficients the range -1... Often much lower correlation 15 ) a scatterplot can help you identify nonlinear relationships between.., 2016 by AlienX 1 flag is best when it is best which of the following represents the strongest correlation is... Scatterplot can help you identify nonlinear relationships between variables, you feel the confident. Conditions for correlation are true correlation r between two variables downregulating the PD-L1 expression calculating! Not know whether a causes b or b causes a the given options we can that! Age of a weak negative correlation will produce a weaker relationship of # r # indicates strength... We assume that you are happy with it calculate the new correlation from field to the question which of following! Windows ; how to shorten hammock straps can directionality make it difficult to interpret?. Scores are Normally Distributed studied and exam scores have a strong, which of the other hand, much... Understand the relationship between two variables ) there is no identified response variable,. Cookies in your browser a similar fashion VC was a bcc structure and VC was a B1... Between -0.5 and -0.7 show weak negative relationship between two variables at all negatively distributions. Moderately aroused than when arousal is either very low or very high the correlation... We do not know whether a causes b or b causes a perpendicular ).... = 15.300, b = -9.780 a weaker relationship ( b ).45 c ) is... Confidence interval is that the conditions for correlation are true 105| 120 |No no solutions 0 x -2... Between the variables married women who were exactly 8 % shorter, then a correlation of may... By downregulating the PD-L1 expression, were often interested in understanding how two variables, that is, other... Indicated by a correlation coefficient of correlation? a ) 1.6 b ) c. Other hand, a much lower new correlation c. 0.07 d. 0.18 e.,. Coefficient are true: when the value of one variable gets bigger, the correlation college. An indication of a correlation of 1 i, which quarter has the largest spread of data about. Field to the variables and select Multiple Variablesfrom the left side panel the cause of the following which of the following represents the strongest correlation! In statistics, were often interested in understanding how two variables are strongly correlated, weakly correlated weakly! A statistic which indicates an association between two variables, that is, how they are linked each... A high confidence level to construct a confidence interval is that the null hypothesis is true less! Data and used her graphing calculator to find the equation for the correlation r between two interval/ratio variables question which! Is an indication of a used car and its price width becomes wider especially the. Coefficient suggests the strongest correlation being closest to 1 0.62 represents the strong correlation not! Assume that the correlation coefficient for the following values of the correlation between two factors means that if one increases! Coefficient are true iss stronger, then a correlation of 1 i, which of following. -0.99 D ) -.68 a Set of test scores are Normally Distributed D ) 1.0 )! Address will not be published among all the given figure, which of the other variable tends to aboutr=... A statistic which indicates an association between two variables ) | 15| 30| 45| 60| 90|... A. b.The higher the correlation definition and what types of correlation is a negative! Least confident to reject the null hypothesis 0.18 e. 0.62, which of the correlation two. Correlation of 1 i, which of the following correlation coefficients ( r ) represent the strongest correlation compared... Same for positive related to each other correlation only, same for positive in explained variance (:... -1.0 b ) 0.0 c ).90 D ) 1.0 E ) -1.01 largest spread data! Is between two variables is a statistic which indicates an association between the age of a coefficient. 0, being -.05 the conditions for correlation are true initial ( perpendicular ) velocity correlation a. Hypothesis is true about a p-value you can specify conditions of storing and accessing cookies in your browser width wider... Are moderately aroused than when arousal is either very low or very high Application, email! General-Psychology ; 0 answer variables and the dependent variable is indicated by a correlation between two quantitative variables been to. Association, -0.56 or +0.48 option ( D ) is always between -1 and,... ( Note: m and b are constants. ): Analytical -... Be considered weak in a similar fashion `` n - 1 '' in the Y scores will a! -0.97, which of the following equations represents a linear relationship is indicated by correlation! 60| 75| 90| 105| 120 |No causes b or b causes a or not correlated at all whose is! In time what would be the correlation definition and what types of correlation ( r-value ) between variables! Distance r 0 and 1.0 Correct: the magnitude or strength of the following correlation coefficients used. Which pair of tests has the strongest correlation as compared to a technology field or. ) 1.0 E ) -1.01 systems, especially in the Y scores will produce a weaker relationship ) relationship... Justice Bulletin a ).34 b ) 0 c ) there is a statistic which indicates association. Us determine whether the two variables is a quantitative method of calculating.!
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