Find a 95% confidence interval for the coefficient of mangan

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Reference no: EM131162731

1. Refer to Exercise 1.

a. Find a 95% confidence interval for the coefficient of Manganese.

b. Find a 99% confidence interval for the coefficient of Thickness.

c. Can you conclude that β1 > 3? Perform the appropriate hypothesis test.

d. Can you conclude that β2 -0.1? Perform the appropriate hypothesis test.

2. The data used to fit the model in Exercise 1 are presented in the following table, along with the residuals and the fitted values. Plot the residuals versus the fitted values. Does the plot indicate that the linear model is reasonable? Explain.

Strength	Manganese	Thickness	Residual	Fitted Value
47.7	7.4	8.0	-0.111	47.811
50.9	8.8	10.0	-0.709	51.609
51.7	8.8	10.0	0.091	51.609
51.9	8.8	10.0	0.291	51.609
50.0	8.1	7.1	-0.517	50.517
50.5	8.1	9.0	0.790	49.710
50.0	8.1	7.1	-0.517	50.517
49.7	8.1	9.0	-0.010	49.710
50.6	8.1	9.0	0.890	49.710
47.7	7.2	7.2	0.214	47.486
47.1	7.3	7.8	-0.464	47.564
45.0	7.3	11.8	-0.864	45.864 (Continued)

Strength	Manganese	Thickness	Residual	Fitted Value
47.6	7.3	8.0	0.121	47.479
45.7	7.3	11.8	-0.164	45.864
47.0	7.3	8.7	-0.181	47.181
45.7	7.3	11.7	-0.206	45.906
48.8	7.3	8.7	1.619	47.181
45.8	7.3	7.8	-1.764	47.564
48.5	7.3	9.0	1.446	47.054
48.6	7.6	7.8	0.040	48.560

Reference no: EM131162731

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