A sociologist uses 10 independent variables (plus an intercept term) to predict “socioeconomic status.” (a) In a data set with n = 500, would R 2 = 0.07 be “significant”? (b) Is the sociologist...

A sociologist uses 10 independent variables (plus an intercept term) to predict “socioeconomic status.”

(a) In a data set with n = 500, would R²
= 0.07 be “significant”?

(b) Is the sociologist entitled to claim that at least one of the independent variables is related to socioeconomic status (say why or why not)?

(c) Is the sociologist entitled to claim that the socioeconomic status of individuals can be predicted using these variables (say why or why not)?

(d) What would your answer in part (a) have been if n = 50?