Question

question 2 of 13 a company performs linear regressions to compare data sets of two similar products. if the residuals for brand a form an increasing curve, and the residuals for brand b form a u - shaped pattern, what can be concluded? a. neither data set is likely to be linear. b. both data sets are probably linear. c. brand b’s data are probably linear, while brand a’s data are probably not. d. brand a’s data are probably linear, while brand b’s data are probably not.

Explanation:

In linear regression, if the residuals form a non - random pattern like an increasing curve or a U - shaped pattern, it indicates that the data is not well - modeled by a linear function. Randomly scattered residuals suggest a good linear fit. Since the residuals for brand A form an increasing curve and for brand B form a U - shaped pattern, neither data set is likely to be linear.

Answer:

A. Neither data set is likely to be linear.