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Chapter 12: Q.12.7 (page 694)

For a given line of best fit, you compute that r=0.5204using n=9data points, and the critical value is 0.666. Can the line be used for prediction? Why or why not?

Short Answer

Expert verified

Yes. The line can not be used for prediction because r<criticalvalue.

Step by step solution

01

Introduction

A critical value is the worth of the test measurement which characterizes the upper and lower limits of a certainty span, or which characterizes the edge of factual importance in a factual test.

02

Explanation

For a given line of best fit, you compute that r=0.5204using n=10data points, and the critical value is 0.666.

Suppose you computed r=0.5204using n=10data points.

df=n-2=9-2=7.

The critical values associated with df=7are-0.666and+0.666.

If r<negative critical value or r>positive critical value, then ris significant.

Since r=0.5204 and 0.5204<0.666, r is not significant and the line may not be used for prediction.

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