In: Statistics and Probability
A Regression analysis was applied between sales data (y in
$1000s) and advertising expenditure (x in $100s) and the estimated
regression equation is obtained as ŷ = 12 + 1.8 x.
Suppose SST=300, SSE=75, sb1 =0.2683 and ?=17
a) Carry out a t-test to see whether the advertising expenditure is significant. Use α = 0.05 and critical value approach to draw your conclusion. Make sure to show all your steps.
b) Carry out an F-test to see whether the advertising expenditure is significant. Use α = 0.05 and critical value approach to draw your conclusion. Make sure to show all your steps.