Question

Use the data in the Mod8-2Data file to answer the following questions. The data contains information from a car seat manufacturer on the age of machine (in months) and the cost of repairs (in 10s of $). Run the regression in Minitab and show the regression line on a scatter plot. Assume a level of significance of 5%.

Age	Repairs10
110	32.767
113	37.668
114	39.252
134	44.314
93	34.262
141	47.616
115	32.474
115	33.898
115	43.345
142	52.637
96	36.242
139	44.876
89	33.527
93	35.094
91	29.181
109	46.78
138	47.448
83	35.415
100	42.011
137	41.604

null hypothesis for the test on the slope/coefficient on "AGE"=

alternative hypothesis =

computed test statistic =

p-value =

statistical conclusion =

lower bound=

upper bound=

Predicted repair cost for a machine that is 100 months old=

Answer 1

Result:

Use the data in the Mod8-2Data file to answer the following questions. The data contains information from a car seat manufacturer on the age of machine (in months) and the cost of repairs (in 10s of $). Run the regression in Minitab and show the regression line on a scatter plot. Assume a level of significance of 5%.

null hypothesis for the test on the slope/coefficient on "AGE"=

 H0: β = 0   

 alternative hypothesis = H1: β ≠ 0   

computed test statistic =4.84

p-value =0.000

statistical conclusion = Reject Ho.

lower bound=0.1401

upper bound= 0.3546

Predicted repair cost for a machine that is 100 months old= 36.2186

Prediction for Repairs10

Regression Equation

Repairs10

=

11.49 + 0.2473 Age

Settings

Variable	Setting
Age	100

Prediction

Fit	SE Fit	95% CI	95% PI
36.2186	1.18447	(33.7302, 38.7071)	(26.7837, 45.6536)