The following data were collected in an experiment to study the relationship between the speed of a cutting tool in m/s (x) and the lifetime of the tool in hours (y).

The least-squares quadratic model is y = 101.4000 + 3.371429x - 5.142857x2.

a. Using this equation, compute the residuals.

b. Compute the error sum of squares SSE and the total sum of squares SST.

c. Compute the error variance estimate s2.

d. Compute the coefficient of determination R2.

e. Compute the value of the F statistic for the hypothesis H0: β1 = β2= 0. How many degrees of freedom does this statistic have?

f. Can the hypothesis H0: β1 = β2= 0 be rejected at the 5% level? Explain.

Physics Electricity and Magnetism (Professor Perdekamp) : Week 1 Notes Prelecture: Coulomb’s Law ...