The accompanying table lists the word counts measured from men and women is 56 couple relationships. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α=0.05. a. The linear correlation coefficient is r= ​(Round to three decimal places as​ needed.)   b. the test statistic is t= ​(Round to two decimal places as​ needed.)     c. the p-value is  ​(Round to three decimal places as​ needed.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The accompanying table lists the word counts measured from men and women is 56 couple relationships. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α=0.05.

a. The linear correlation coefficient is

r=

​(Round to three decimal places as​ needed.)
 
b. the test statistic is t=
​(Round to two decimal places as​ needed.)
 
 
c. the p-value is 
​(Round to three decimal places as​ needed.)
**Data Table: Comparison of Values for Men and Women**

This table displays a list of numerical values corresponding to men and women in two distinct columns. The values seem to represent a set of quantified data for both groups, though the specific context (such as income, population, etc.) is not provided. Below is the transcribed data from the table:

| Men   | Women |
|-------|-------|
| 27,069| 22,663|
| 15,313| 25,684|
| 6,933 | 2,947 |
| 29,969| 20,477|
| 27,325| 9,356 |
| 9,164 | 14,248|
| 20,045| 12,085|
| 20,523| 18,515|
| 23,794| 13,307|
| 24,503| 19,902|
| 13,778| 17,460|
| 13,314| 11,882|
| 10,557| 14,201|
| 23,478| 22,745|
| 16,191| 7,480 |
| 6,543 | 15,459|
| 20,097| 23,631|
| 11,127| 20,337|
| 19,189| 17,058|
| 15,063| 11,371|
| 13,857| 31,474|
| 7,877 | 6,804 |
| 5,138 | 20,768|
| 8,037 | 6,005 |
| 24,691| 8,952 |
| 12,587| 17,809|
| 15,497| 12,338|
| 11,668| 22,763|
| 16,057| 19,127|
| 19,136| 15,792|
| 16,820| 33,967|
| 9,023 | 7,225 |
| 18,743| 8,376 |
| 15,744| 10,575|
| 11,317| 29,667|
| 15,869| 18,375|
| 15,236| 17,321|
| 10,574| 18,973|
Transcribed Image Text:**Data Table: Comparison of Values for Men and Women** This table displays a list of numerical values corresponding to men and women in two distinct columns. The values seem to represent a set of quantified data for both groups, though the specific context (such as income, population, etc.) is not provided. Below is the transcribed data from the table: | Men | Women | |-------|-------| | 27,069| 22,663| | 15,313| 25,684| | 6,933 | 2,947 | | 29,969| 20,477| | 27,325| 9,356 | | 9,164 | 14,248| | 20,045| 12,085| | 20,523| 18,515| | 23,794| 13,307| | 24,503| 19,902| | 13,778| 17,460| | 13,314| 11,882| | 10,557| 14,201| | 23,478| 22,745| | 16,191| 7,480 | | 6,543 | 15,459| | 20,097| 23,631| | 11,127| 20,337| | 19,189| 17,058| | 15,063| 11,371| | 13,857| 31,474| | 7,877 | 6,804 | | 5,138 | 20,768| | 8,037 | 6,005 | | 24,691| 8,952 | | 12,587| 17,809| | 15,497| 12,338| | 11,668| 22,763| | 16,057| 19,127| | 19,136| 15,792| | 16,820| 33,967| | 9,023 | 7,225 | | 18,743| 8,376 | | 15,744| 10,575| | 11,317| 29,667| | 15,869| 18,375| | 15,236| 17,321| | 10,574| 18,973|
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