Shown here is a sample of the times required to complete a full safety and structural inspection of a Boeing 747 aircraft. The table gives the number of inspection team members (x) and the time, in hours, (y) it took for the team to complete its job in four recent inspections. You plan to use the data to determine whether there’s a useful linear relationship between the two variables.

Applying the least squares criterion has produced the estimated regression equation ŷ = 23.7 – .8x 

a. Calculate the missing values in the ANOVA table below. SS regression (SSR) explained variation

SS error (SSE) unexplained variation

a. Calculate the missing t stat value and use it to determine whether we can reject a β = 0 null hypothesis at the 5% significance level. 

b. Compare the t stat value that you computed in part a to the F value in Exercise 40. What is the general relationship between these two values?

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Time (hrs) 15 14 10 Team Members 13 15 17 ANOVA df MS Regression Error (Residual (b) Total