Compute the coefficient of determination r2

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Reference no: EM131160558

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).

x	1	1.5	2	2.5	3
y	99	96	88	76	66

The least-squares quadratic model is y = 101.4000 + 3.371429x - 5.142857x 2 .

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.

Reference no: EM131160558

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