You and a coworker have been assigned to investigate the impact ofincome (measured in $K) and consumer sentiment (measured using a 7-point Likert scale)on purchase likelihood (measured using a 7-point Likert scale) for Deacon Motor's ATVs (All Terrain Vehicles).

You and she propose testing the following linear model:

PURCHASE LIKELIHOOD = b0 + b1INCOME + b2SENTIMENT

You ran a regression based on the 87 people who responded to an online survey. The p-value for your F-test = 0.01. Your coworker wants to conduct a series of t-tests to determine if INCOME and SENTIMENT are statistically significant. Do you agree with her?

A.The t-test is redundant.

B.Yes. You cannot determine if INCOME is significant solely based on the F-test.

C.No. You can determine if INCOME is significant solely based on the F-test.

D.It depends on the R-squared.