Chapter 12: Q.12.7 (page 694)

For a given line of best fit, you compute that $r = 0.5204$ using $n = 9$ data 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 $r < c r i t i c a l v a l u e$ .

Step by step solution

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.

Explanation

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

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

$d f = n - 2 = 9 - 2 = 7 .$

The critical values associated with $d f = 7 a r e - 0.666 a n d + 0.666 .$

If $r <$ negative critical value or $r >$ positive critical value, then $r$ is 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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$%$ of goal reached	$< 80$	$80$	100	120
Incentive	n/a	$\(4, 000$ with an additional $\) 125$ added per percentage point from $81 - 99 %$	$\(6, 500$ with an additional $\) 125$ added per percentage point from $101 - 119 %$	$\(9, 500$ with an additional $\) 125$ added per percentage point from $121 %$

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

Short Answer

Step by step solution

Introduction

Explanation

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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

Step by step solution

Introduction

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Logic and Functions

Statistics

Mechanics Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

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