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ANSWER USING EXCEL PLEASE Machine speed. The number of defective items produced by a machine (Y) is known to be linearly related to the speed

ANSWER USING EXCEL PLEASE

Machine speed. The number of defective items produced by a machine (Y) is known to be linearly related to the speed setting of the machine (X). The data below were collected from recent quality control records

i : Xi: Yi:
1 200 28
2 400 75
3 300 37
4 400 53
5 200 22
6 300 58
7 300 40
8 400 96
9 200 46
10 400 52
11 200 30
12 300 69

a. Fit a linear regression function by ordinary least squares, obtain the residuals, and plot the residuals against X. What does the residual plot suggest? b. Conduct the Breusch-Pagan test for constancy of the error variance, assuming loge

i2 = 0 + 1 Xi; use = .10. State the alternatives, decision rule, and conclusion. c. Plot the squared residuals against X. What does the plot suggest about the relation between the variance of the error term and X?

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