These data relate y (a measure of surface finish), to x (lathe speed in RPM). 10

Question

These data relate y (a measure of surface finish), to x (lathe speed in RPM). 10 measurements are taken on one type of lathe (A), and 10 measurements on another (B). Thus we have n = 20 measurements, and "Lathe Type" is an indicator (dummy) variable which has two levels Find: the least squares line: y = R^2 = R_adj^2 = Use a dummy variable, and fit the model that allows for different intercepts for the two lathe types but the same slope. Give the estimates for the following, and R^2 for this model. Lathe A intercept Lathe B intercept ; Slope R^2 = R_adj^2 =

Explanation / Answer

From Excel

a)

The Regression equation is

y=5.777 + 0.149 (x)

where slope=0.149 and intercept=5.777

R2 =0.128

R2 adjusted =0.079

SUMMARY OUTPUT Regression Statistics Multiple R 0.357864 R Square 0.128067 Adjusted R Square 0.079626 Standard Error 7.02869 Observations 20 ANOVA df SS MS F Regression 1 130.6091 130.6091 2.643776 Residual 18 889.2447 49.40248 Total 19 1019.854 Coefficients Standard Error t Stat P-value Intercept 5.776808 21.61402 0.267271 0.792298 X 0.149057 0.091673 1.625969 0.121336

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