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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Author:Amos Gilat
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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.)
Men
Women
27,069 22,663
15,313 25,684
2,947
6,933
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
17,877 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
19,126
17,273
12,317
13,382
13,547 18,327
3,357
15,674
15,933 15,787
12,527 14,694
15,892 26,964
18,228 38,057
21,137 25,803
39,772 32,869
17,483 26,133
47,273 30,226
28,801 16,307
4,689
9,074
12,696 23,774
8,615 16,194
9,634 15,512
20,221 25,806
Transcribed Image Text:Men Women 27,069 22,663 15,313 25,684 2,947 6,933 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 17,877 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 19,126 17,273 12,317 13,382 13,547 18,327 3,357 15,674 15,933 15,787 12,527 14,694 15,892 26,964 18,228 38,057 21,137 25,803 39,772 32,869 17,483 26,133 47,273 30,226 28,801 16,307 4,689 9,074 12,696 23,774 8,615 16,194 9,634 15,512 20,221 25,806
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