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4. The data in the table to the right are based on the results of a survey comparing the commute time of adults to their

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4. 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 awell-being test. Complete parts (a) through (d) below. Commute Time(in minutes) Well-Being Score 13 67.0 15 68.1 20 67.5 30 67.1 40 67.0 50 65.7 65 63.5 a) Which variable is likely the explanatory variable and which is the response variable? explanatory variable response variable b ) Draw a scatter diagram of the data and describe the type of association. c) Determine the linear correlation coefficient between commute time and well-being score. Write formula and answer with 2 decimal places. d) Does a linear relation exist between the commute time and well-being index score? Why? Write a good conclusion. e) Find the regression equation f) Predict the well-being score when x = 40 g) Find the residual for x = 40 h ) Find the coefficient of determination

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