he accompanying table lists the word counts measured from men and women in 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 as well as the null and alternative hypothesis and test statistic. Use a significance level of α=0.05. Men Women 28,583 18,905 18,084 21,945 8,366 4,031 29,838 20,832 25,917 10,996 9,467 18,398 19,760 12,497 17,019 18,204 24,651 14,309 23,305 18,132 12,647 18,419 10,289 13,212 11,820 18,061 23,491 23,786 19,665 7,548 6,777 15,919 19,869 23,118 9,575 15,796 22,418 16,584 13,888 12,830 14,706 30,742 18,201 7,544 7,610 15,120 4,042 3,969 23,505 13,583 9,705 20,466 14,867 12,995 15,451 21,248 10,840 23,132 19,000 10,520 13,805 30,844 9,568 10,955 18,031 13,235 17,402 14,784 11,419 27,095 12,912 18,034 15,667 14,476 12,473 19,377 17,480 17,679 10,206 15,108 12,177 18,372 6,531 10,765 18,030 19,845 14,844 16,570 13,445 29,336 16,396 38,596 20,632 23,225 39,451 34,050 18,686 26,891 44,786 29,659 27,744 20,264 10,987 9,521 15,843 25,715 11,057 14,834 9,083 14,581 18,809 29,099
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
The accompanying table lists the word counts measured from men and women in 56 couple relationships. Construct a scatterplot, find the value of the linear
Men Women
28,583 18,905
18,084 21,945
8,366 4,031
29,838 20,832
25,917 10,996
9,467 18,398
19,760 12,497
17,019 18,204
24,651 14,309
23,305 18,132
12,647 18,419
10,289 13,212
11,820 18,061
23,491 23,786
19,665 7,548
6,777 15,919
19,869 23,118
9,575 15,796
22,418 16,584
13,888 12,830
14,706 30,742
18,201 7,544
7,610 15,120
4,042 3,969
23,505 13,583
9,705 20,466
14,867 12,995
15,451 21,248
10,840 23,132
19,000 10,520
13,805 30,844
9,568 10,955
18,031 13,235
17,402 14,784
11,419 27,095
12,912 18,034
15,667 14,476
12,473 19,377
17,480 17,679
10,206 15,108
12,177 18,372
6,531 10,765
18,030 19,845
14,844 16,570
13,445 29,336
16,396 38,596
20,632 23,225
39,451 34,050
18,686 26,891
44,786 29,659
27,744 20,264
10,987 9,521
15,843 25,715
11,057 14,834
9,083 14,581
18,809 29,099
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