The measurements in the following table were made on 40 geographic regions. The

Question

The measurements in the following table were made on 40 geographic regions. The variable X is a measure of the extent of industrialization (the higher the value of X, the greater die industrialization). The variable Y is an overall measure of the extent of air and water pollution (the higher the value of Y, the greater the pollution). Plot a scatter diagram or these data. Refer to Exercise 25. Obtain the least-squares regression equation for these data, and plot the line on your scatter diagram. Refer to Exercise 25. Compute the coefficient of determination for these data. Refer to Exercise 25. Construct the ANOVA table. Can we conclude, at the 0.05 level of significance, that, in the population, X and Y ate linearly related? What is the p value for the test? Refer to Exercise 25. Use the t test to determine whether you may conclude that S notequalto 0. Let alpha = 0.05, and find the p value. Refer to Exercise 25. Construct a 95% confidence interval for beta. Refer to Exercise 25. What is the correlation coefficient for these data? Do you think that the correlation coefficient is an appropriate measure in this case?

Explanation / Answer

31)

31)

here r = 0.81424258 {see the column Multiple R }

note other questions can also be answered from table .

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x y 85 118 73 90 88 123 52 74 85 98 68 91 109 113 47 62 79 76 60 63 54 67 71 78 62 74 67 60 82 101 80 89 76 85 86 82 55 52 91 105 81 92 67 76 63 73 73 82 69 81 71 93 61 75 57 73 48 50 86 82 68 89 76 88 77 96 91 97 89 102 69 80 74 84 87 87 81 84 77 95

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