A company\'s quality control department wishes to quantify the relationship betw

Question

A company's quality control department wishes to quantify the relationship between weight of an air-conditioning unit finishing rod (Y) and its rough casting (X). Castings that are likely to produce rods that are too heavy may be discarded in the final production process. The data analyst carried out a Simple Linear Regression (SLR) model of Y on X based on 25 pairs of observations. Based on the Minitab output provided below, choose the correct answer. (Minitab data all the way at bottom)

Part 1: (no explanation needed)

True or False?  Both the t-stat for RoughWeight and the F-stat for overall adequacy of the SLR model indicate that RoughWeight is a good predictor of FinishedWeight.

Part 2: (No explanation needed)

Choose the correct answer:

A. Lack-of-fit F-stat = 2.51

p-value for the Lack-of-fit F-stat = 0.13

We will conclude that there is no sufficient evidence from this data to reject the SLR model in favor of the separate means model.

B. Lack-of-fit F-stat = 118.25

p-value for the Lack-of-fit F-stat < 0.0001

We will conclude that there is sufficient evidence from this data to reject the SLR model in favor of the separate means model.

C. Lack-of-fit F-stat  = 2.51

p-value for the Lack-of-fit F-stat  = 0.13

We will conclude that there is sufficient evidence from this data to reject the SLR model in favor of the separate means model.

D. Lack-of-fit F-stat  = 118.25

p-value for the Lack-of-fit F-stat  = 0.13

We will conclude that there is no sufficient evidence from this data to reject the SLR model in favor of the separate means model.

Part 3:

A. Lack-of-fit F-stat = 2.51

p-value for the Lack-of-fit F-stat = 0.13

We will conclude that there is no sufficient evidence from this data to reject the SLR model in favor of the separate means model.

B. Lack-of-fit F-stat = 118.25

p-value for the Lack-of-fit F-stat < 0.0001

We will conclude that there is sufficient evidence from this data to reject the SLR model in favor of the separate means model.

C. Lack-of-fit F-stat  = 2.51

p-value for the Lack-of-fit F-stat  = 0.13

We will conclude that there is sufficient evidence from this data to reject the SLR model in favor of the separate means model.

D. Lack-of-fit F-stat  = 118.25

p-value for the Lack-of-fit F-stat  = 0.13

We will conclude that there is no sufficient evidence from this data to reject the SLR model in favor of the separate means model.

Explanation / Answer

for lack of fit the

null hypotheis H0: The relationship assumed in the model is reasonable, i.e., there is no lack of fit.

alternate hypotheis HA: The relationship assumed in the model is not reasonable, i.e., there is lack of fit

If the P-value is smaller than the significance level we reject the null hypothesis in favor of the alternative. We may say that there is sufficient evidence at the (e.g. 0.05 )level to conclude that there is lack of fit in the simple linear regression model.

MiniTab out put is not and other information is not given.You may get answer from above explanation. if find difficulty please respond back.

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