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QUESTION 12 Use the same information from Q.11 (also shown here). A company\'s q

ID: 3368625 • Letter: Q

Question

QUESTION 12 Use the same information from Q.11 (also shown here). 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 03) Castings that are likely to produce rods that are too heavy may be discarded in the final production process The data analyst fitd Simple Lincar Regression SLR) model of Y on X based on 25 pairs of observations. Based on the Minitab output provided below, choose the correet answer. Minitab Qutput Correlation: RoughWeight, FinishedWeight Pearson correlation of RoughWeight and Finishedkeight 0.915 The data analyst fitted a Simple Linear Regression Regression Analysis: FinishedWeight versus RoughWeight Analysis of Variance DF Ad) ss Adj MS F-Value P-Value 1 0.015131 0.015131 118.25 0,000 RoughWeight 1 0.015131 0.015131 118.25 0.000 2.51 0.130 Regresaion Error 23 0.002943 0.000128 Lack-of-Fit 13 0.002580 0.000152 6 0.000362 0.000060 Pure Error 24 0.018074

Explanation / Answer

From the model summary,

The F statistic = 2.51 and P-value = 0.13 for Lack-of-fit factor.

The P-value = 0.13 > 0.05 at 5% significance level. The null hypothesis can not be rejected. Hence we will conclude that there is not sufficient evidence from the data to reject the SLR model in favor of the separate means model.

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