The relationship between the temperature of a rocket engine ( t ) and the thrust force (f) was investigated in a series of tests. Pairs of data for t and f (in suitable units) were collected and can...

The relationship between the temperature of a rocket engine (t) and the thrust force (f) was investigated in a series of tests. Pairs of data fortandf(in suitable units) were collected and can be summarized as follows:n= 15; ∑t= 540; ∑f= 33.00; ∑t
² = 21426; ∑f
² = 77.08; ∑tf= 1267.10

a) Find the regression equation offont.

b) Assuming that graphical checks are satisfactory:

i) Find the 95% confidence limits of the intercept and slope.

ii) According to Snooker’s theory, the slope of the straight line relatingfandtin this range of values should be 0.0500. Do the data disagree significantly with Snooker at the 5% level of significance?