In: Statistics and Probability
The accompanying table lists the word counts measured from men and women in 56 couple relationships. Construct a scatter plot, 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 a=0.05.
I need to understand how to solve this question using excel (not minitab)
Men Women
27,295 20,108
18,158 24,942
7,305 7,533
25,723 18,914
28,347 14,595
5,442 17,399
24,114 9,330
20,390 20,843
27,841 15,109
22,647 20,464
9,196 13,474
9,165 12,332
12,756 17,794
19,710 23,009
16,815 7,196
7,152 18,213
19,557 25,208
10,835 18,055
21,368 18,701
19,763 16,066
18,811 28,045
17,781 10,791
9,960 16,414
8,083 2,891
28,137 12,482
11,845 17,384
14,083 12,564
10,104 19,608
15,295 19,499
16,287 11,547
14,066 34,988
11,350 9,503
20,545 12,446
16,307 10,441
13,333 27,713
16,319 22,519
12,829 18,739
10,838 20,824
18,842 19,473
9,070 15,613
15,123 18,951
7,076 10,283
17,576 15,247
11,222 14,402
18,463 29,143
16,214 36,757
16,783 24,757
36,658 32,773
15,013 24,955
46,847 30,273
23,027 19,752
11,918 9,947
13,067 22,361
10,370 14,630
4,655 14,751
22,499 28,956
The linear correlation coefficient r is _____. (Round to three decimal places as needed.)
The test statistic is _______. (Round to two decimal places as needed.)
The P-value is ______. (Round to three decimal places as needed.)
Because the P-value of the linear correlation coefficient is less than or equal to or greater than the significance level, there is or is not sufficient evidence to support the claim that there is a linear correlation between words spoken by men and women in couples.