A student wants to see if the number of times a bookhas been checked out of the library in the past year andthe number of pages in the book are related. Sheguesses that the number of times a book has beenchecked out of the library in the past year will be apredictor of the number of pages it has. She randomlysampled 11 books from the library, test her claim at a0.05 level of significance.number of times checked outnumber of pages26261242732803534730398313854032340398464191427419313The correlation coefficient:rㅋ 0.163X (round to 3 decimal places)The equation y=a+bx is: (round to 3 decimal places)y= 319.180x+ 0.457The hypotheses are:Ho:p = 0 (no linear relationship)HA :P + 0 (linear relationship) (claim)Since a is 0.05 the critical value is -2.262 and 2.262The test value is: 0.468x (round to 3 decimal places)The p-value is: 0.652x (round to 3 decimal places)The decision is toreject Ho• do not reject Ho

Name: A student wants to see if the number of times a bookhas been checked
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Description: A student wants to see if the number of times a bookhas been checked out of the library in the past year andthe number of pages in the book are related. Sheguesses that the number of times a book has beenchecked out of the library in the past year w

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Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

Problem 7E

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A student wants to see if the number of times a book
has been checked out of the library in the past year and
the number of pages in the book are related. She
guesses that the number of times a book has been
checked out of the library in the past year will be a
predictor of the number of pages it has. She randomly
sampled 11 books from the library, test her claim at a
0.05 level of significance.
number of times checked out
number of pages
26
261
24
273
280
35
347
30
398
31
385
40
323
40
398
46
419
14
274
19
313
The correlation coefficient:
rㅋ 0.163
X (round to 3 decimal places)
The equation y=a+bx is: (round to 3 decimal places)
y= 319.180
x+ 0.457
The hypotheses are:
Ho:p = 0 (no linear relationship)
HA :P + 0 (linear relationship) (claim)
Since a is 0.05 the critical value is -2.262 and 2.262
The test value is: 0.468
x (round to 3 decimal places)
The p-value is: 0.652
x (round to 3 decimal places)
The decision is to
reject Ho
• do not reject Ho

Expert Solution

Step 1

The given table represents the number of times a book checked out of the library and the number of pages of a book for 11 books.

Step 2

Correlation coefficient:

Calculate the required values:

Calculate the correlation coefficient r is as follows:

Therefore, the correlation coefficient is 0.717.

Step 3

The general regression line is y = a + bx.

Calculate the values of ‘a’ and ‘b’ are as follows:

Therefore, the regression equation is,

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