The data in the table to the right are based on the results of a survey comparing the commute time of adults to their score on a well-being test. Complete parts (a) through (d)CommuteTime (inminutes) Well-Being Scorebelow.Critical ValuesClick the icon to view the critical values for the correlation coefficient.769.81368.52467.6Critical Values for Correlation Coefficient3767.34966.2n7165.930.9979863.440.9500.878.....(a) Which variable is likely the explanatory variable and which is the response variable?0.81170.754O A. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score.8.0.707B. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score.9.0.66610 0.63211 0.60212 0.57613 0.55314 0.53215 0.51416 0.49717 0.48218 0.46819 0.45620 0.44421 0.43322 0.42323 0.41324 0.40425 0.39626 0.38827 0.38128 0.37429 0.36730 0.361C. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score.D. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time.(b) Draw a scatter diagram of the data. Which of the following represents the data?A.В.OC.D.70-70-70-110-60-0+60Commute Time (min)60-60-110110Commute Time (min)11070Commute Time (min)Commute Time (min)(c) Determine the linear correlation coefficient between commute time and well-being score.r =(Round to three decimal places as needed.)(d) Does a linear relation exist between the commute time and well-being index score?A. Yes, there appears to be a negative linear association because r is negative and is less than the negative of the critical value.B. No, there is no linear association since r is positive and is less than the critical value.C. Yes, there appears to be a positive linear association because r is positive and is less than the critical value.PrintDoneD. Yes, there appears to be a positive linear association because r is positive and is greater than the critical value.ScoreScore.....ScoreScore

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survey compa ugn (a) ommute Time (in minutes) Well-Being Score elow Critical Values O Click the icon to view the critical values for the correlation coefficient. 69.8 13 68.5 24 67.6 Critical Values for 37 67.3 49 66.2 65.9 63.4 71 98 a) Which variable is likely the explanatory variable and which is the response variable? OA. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score. OB. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. OC. The explanatory variable is the well-being score and the response variable is commute time because commute time afects the wel-being score. OD. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time. b) Draw a scatter diagram of the data. Which of the following represents the data? OB. Oc. OD. 110 Commute Time Commute Tie i Commute Time min Commute Time min c) Determine the linear corelation coefficient between commute time and well-being score. Round to three decimal places as needed.)

survey compa ugn (a) ommute Time (in minutes) Well-Being Score elow Critical Values O Click the icon to view the critical values for the correlation coefficient. 69.8 13 68.5 24 67.6 Critical Values for 37 67.3 49 66.2 65.9 63.4 71 98 a) Which variable is likely the explanatory variable and which is the response variable? OA. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score. OB. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. OC. The explanatory variable is the well-being score and the response variable is commute time because commute time afects the wel-being score. OD. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time. b) Draw a scatter diagram of the data. Which of the following represents the data? OB. Oc. OD. 110 Commute Time Commute Tie i Commute Time min Commute Time min c) Determine the linear corelation coefficient between commute time and well-being score. Round to three decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The coefficient of determination is simply the correlation 1 coefficient squared. is a measure of the "goodness" of fit. measures how much of the variation 3 in the response variable is explained by the explanatory variable. 4 all of the above
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Question Help The ages (in years) of 10 men and their systolic blood pressures (in millimeters of mercury) are shown in the attached data table with a sample correlation coefficient r of 0.910. Remove the data entry for the man who is 51 years old and has a systolic blood pressure of 200 millimeters of mercury from the data set and find the new correlation coefficient. Describe how this affects the correlation coefficient r. Use technology. Click the icon to view the data set. The new correlation coefficient r going from 0.910 to Data Table (Round to three decimal places as needed.) Age, x Systolic blood pressure, y 110 16 121 26 39 144 130 45 200 51 183 63 Loc 69 199 Bro 130 32 175 58 24 118 Print Done Enter your answer in the answer box. AdChoices PAGCS DEC O étv 13 MacBook Pro DD DII F6 F9 F2 F10 F12 F3 F8 F11 F5 F7 F1 F4 %23 $4 4 & 5. 9. 6. 8 0 utitam
Using the given data to answer the below. Data Set x y 2.2 3.9 3.9 1.5 2.9 3.7 4.6 4.9 the additional data point (10.5, 9.2) Compute the linear correlation coefficient with the additional data point the linear correlation coefficient for the five pieces of data is 0.866 Explain why correlations should always be reported with scatter diagrams. Choose correct answer below. a) the scatter diagram is needed to see if the correlation coefficient is being affected by the presence of outliers. b) the scatter diagram can be used to distinguish between association and causation. c) the scatter diagram is needed to determine if the correlation is positive or negative.
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Practice with correlation coefficients Using the table that appears below each pair of variables, please state the direction and strength (using Cohen’s rules of thumb) of each correlation coefficient, r. Assume all coefficients are statistically significant at p < .05. Then, interpret the correlation. Please describe the pattern, conceptually, without using the word “correlated” in your description. 3. Self-focus, charitable donations: r = -.28Direction & strength: _________________________________________________Interpretation: ________________________________________________________Can you infer causality? Explain. _______________________________________ 4. Stress, physical symptoms: r = .44Direction & strength: ____________________________________________________Interpretation: ___________________________________________________________Can you infer causality? Explain. _________________________________________
K The data in the table to the right are based on the results of a survey comparing the commute time of adults to their score on a well-being test. Complete parts (a) through (d) below. Click the icon to view the table of critical values of the correlation coefficient. C (a) which variable is likely the explanatory variable and which is the response variable? Commute Time (in minutes) 4 16 23 35 48 72 98 Well-Being Score 69.2 68.4 67.2 67.1 66.5 66.1 63.8 O A. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score. OB. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. OC. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score. O D. The explanatory variable is the well-being score and the response variable is commute time…
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