Question

Several studies have found that the frequency with which shoppers browse Internet retailers is related to the frequency with which they actually purchase products​ and/or services online. The data in the accompanying table show the age of respondents and their answer to the question​ "how many minutes do you browse online retailers per​ week?" Complete parts b through d.

Age // Browsing Time (min/wk)
34 // 358
54 // 131
22 // 517
31 // 372
37 // 328
56 // 106
17 // 517
49 // 204
63 // 107
29 // 415
39 // 296
49 // 182
28 // 438
53 // 122
42 // 276

b. Do you think a linear model is​ appropriate? Explain.

The scatterplot appears to have curvature at both ends of the age​ distribution, so a linear regression may not be completely appropriate.

c. Find the equation of the regression line.

Browsing Time = 716.2 + (-10.571)Age

d. Check the residuals to see if the conditions for inference are met.

The equal spread condition IS/IS NOT satisfied because the scatterplot of the residuals against the predicted values shows NO PATTERN/A THICKENING OF THE SPREAD/A THINNING OF THE SPREAD/A CURVATURE.

.The nearly normal condition IS/IS NOT satisfied because the Normal probability plot SHOWS/DOES NOT SHOW an approximately straight line. ​ (This is also the case because a histogram of the residuals IS APPROXIMATELY/IS NOT unimodal and​ symmetric.)

The outlier condition IS/IS NOT satisfied because the Normal probability plot SHOWS SOME/DOES NOT SHOW ANY extreme outliers.

Answer 1

d.

The equal spread condition IS satisfied because the scatterplot of the residuals against the predicted values shows NO PATTERN.

The nearly normal condition IS NOT satisfied because the Normal probability plot DOES NOT SHOW an approximately straight line. ​ (This is also the case because a histogram of the residuals IS NOT unimodal and​ symmetric.)

The outlier condition IS NOT satisfied because the Normal probability plot SHOWS SOME extreme outliers.

Good luck with your studies!!!