Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q.12.8

Expert-verified

Introductory Statistics

Found in: Page 694

Book edition OER 2018

Author(s) Barbara Illowsky, Susan Dean

Pages 902 pages

ISBN 9781938168208

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

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?

The critical value associated with degrees of freedom $7$ is $0.666$ .Therefore, $r$ is insignificant.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given Information

$r = 0.5204$

n = 9

$c r i t i c a l v a l u e = 0.666$ .

Step 2: Explanation

The degrees of freedom can be computed as shown below:

$d f = n - 2$

= 9 - 2

= 7

The critical value associated with degrees of freedom $7$ is $0.666$ . If $r$ is less than negative critical value or $r$ is greater than positive critical value then $r$ is significant. Here, $r (0.5204)$ is less than positive critical value $(0.666)$ . Therefore, $r$ is insignificant.

Most popular questions for Math Textbooks

75. The following table consists of one student athlete's time (in minutes) to swim 2000 yards and the student's heart rate (beats per minute) after swimming on a random sample of 10 days:

Swim Time	Heart Rate
34.12	144
35.72	152
34.72	124
34.05	140
34.13	152
35.73	146
36.17	128
35.57	136
35.37	144
35.57	148

a. Enter the data into your calculator and make a scatter plot.b. Use your calculator's regression function to find the equation of the least-squares regression line. Add this to your scatter plot from part a.c. Explain in words what the slope and y-intercept of the regression line tell us.d. How well does the regression line fit the data? Explain your response.e. Which point has the largest residual? Explain what the residual means in context. Is this point an outlier? An influential point? Explain.

Solve.

a. When $x = 1985, ŷ =_____$

b. When $x = 1990, ŷ =_____$

c. When $x = 1970, ŷ =______$ Why doesn’t this answer make sense

Due to erosion, a river shoreline is losing several thousand pounds of soil each year. A linear equation that expresses the total amount of soil lost per year is $y = 12, 000 x$

What are the independent and dependent variables?

Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where $x$ is the number of endorsements the player has and $y$ is the amount of money made (in millions of dollars).

x	y	x	y
0	2	5	12
3	8	4	9
2	7	3	9
1	3	0	3
5	13	4	10

What is the slope of the line of best fit? What does it represent?

Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where $x$ is the number of endorsements the player has and $y$ is the amount of money made (in millions of dollars)

x	y	x	y
0	2	5	12
3	8	4	9
2	7	3	9
1	3	0	3
5	13	$4$	$10$

When $n = 100$ and $r = - 0.89$ , is there a significant correlation? Explain.

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free