Here is a bivariate data set. x y 40.6 20 40 34.7 23.9 -7.8 37.1 66.9...

Here is a bivariate data set.

x	y
40.6	20
40	34.7
23.9	-7.8
37.1	66.9
39.5	86.1
42.9	21.7
44	-18.8
17.8	62.9
39.8	79.1
40.4	2.1
54.6	133.4
52	83.3
45.7	114.5
29.2	16.9
40.6	106.4
22.8	34.8

Find the correlation coefficient and report it accurate to three decimal places.
r =

What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.
r² = %

Expert Solution

Correlation coefficient calculation:

r = 0.414

Coefficient of Determination r2 = 0.4138^2 = 0.171

r2 = 17.1%

orchestra answered 2 years ago

The following bivariate data set contains an outlier. x y 47.6 53.7 40.6 112.6 28.9 72.2...

The following bivariate data set contains an outlier. x y 47.6 53.7 40.6 112.6 28.9 72.2 36.1 101.1 32.4 112.4 26.8 67.1 36.8 38.9 33.1 70.1 67.5 8.6 43.3 -6.4 50.1 41.3 30.1 3.2 29.8 41.7 55 -32.8 189.6 548.8 What is the correlation coefficient with the outlier? rw = What is the correlation coefficient without the outlier? rwo = Would inclusion of the outlier change the evidence for or against a significant linear correlation at 5% significance? A) No....

The following bivariate data set contains an outlier. x y 53.3 151.7 37.1 -307.3 44.6 -469.7...

The following bivariate data set contains an outlier. x y 53.3 151.7 37.1 -307.3 44.6 -469.7 47 -475.2 68.4 292.5 50.3 383.5 55.7 -1180.8 30.7 223.7 60.6 -600.8 39.9 -152.6 49.3 -335.2 50.1 590.1 54.9 99 63.1 243.5 181.5 -6493.5 What is the correlation coefficient with the outlier? rw = (Round to three decimal places) What is the correlation coefficient without the outlier? rwo = (Round to three decimal places)

A. Here is a bivariate data set. x y 25.7 52.5 29.4 64.7 21.8 54.9 35...

A. Here is a bivariate data set. x y 25.7 52.5 29.4 64.7 21.8 54.9 35 63.4 31.4 74.7 21.6 46.5 40.8 69.7 37.9 77.7 16.7 41.1 29.6 78.1 13.1 45.5 36.1 78.4 32.1 68.2 45.2 76.8 36.1 57.9 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal...

1a) Here is a bivariate data set. x y 26.1 41.5 26.6 46.9 37.2 44.2 37.2...

1a) Here is a bivariate data set. x y 26.1 41.5 26.6 46.9 37.2 44.2 37.2 46.6 34.1 44.1 33.8 38.4 39.9 30 12.4 66.8 8.1 49.6 13.4 61.6 15 52.4 21.8 61.6 3.6 53.9 -9.3 97.2 28.3 39.4 29.4 44.9 29.8 41.2 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage...

1a) Here is a bivariate data set. x y 58.1 46.5 57.2 50.7 41 53.9 47...

1a) Here is a bivariate data set. x y 58.1 46.5 57.2 50.7 41 53.9 47 50.6 65.7 50.9 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. r² = 1b) Test the claim that the mean GPA of Orange Coast students is larger than the mean...

Here is a bivariate data set. x y 30.3 1.4 24.8 -27.5 38.3 14.4 39 39.7...

Here is a bivariate data set. x y 30.3 1.4 24.8 -27.5 38.3 14.4 39 39.7 20.3 -2.7 37.9 24.6 51 22.7 22.9 -27.7 40.1 39 33.9 9.7 45.2 62.6 34.4 13.1 19.9 0.5 40.9 21.7 52.2 46.8 20 -6.4 45.2 19.6 30.5 25.6 37.5 31.1 34.3 4 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x?...

Here is a bivariate data set. x y 27.2 91.8 19 117 19.5 82.6 25.9 192.3...

Here is a bivariate data set. x y 27.2 91.8 19 117 19.5 82.6 25.9 192.3 47.7 95.2 15.7 18.6 4.6 34.7 24.1 34.3 24.7 -39 22.4 29.2 52.7 39.1 7.6 81.3 28.2 131.4 16.8 -42.6 25.4 70.6 24.9 65.9 11.1 5.7 5.7 -74.3 28.7 -20.3 -3.8 54.4 Find the correlation coefficient and report it accurate to three decimal places. r =

Here is a bivariate data set. x y 70.9 24.2 46 21.3 44.4 20.8 57.6 23.4...

Here is a bivariate data set. x y 70.9 24.2 46 21.3 44.4 20.8 57.6 23.4 76.5 25.4 52.3 20 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. r² = %

Here is a bivariate data set. x y 57.6 54.7 23.6 111.2 40.1 95.5 80.1 77.7...

Here is a bivariate data set. x y 57.6 54.7 23.6 111.2 40.1 95.5 80.1 77.7 34.3 95 50.8 71.1 Find the correlation coefficient and report it accurate to three decimal places.

Here is a bivariate data set. x y 43.1 71.8 37.6 -44.1 67.3 -60.2 45.3 160.1...

Here is a bivariate data set. x y 43.1 71.8 37.6 -44.1 67.3 -60.2 45.3 160.1 46.3 -61.5 43.7 -125.8 57.3 107.8 50.7 15.9 58.9 173.4 68.1 -48.8 22.3 40.5 47.3 181.4 45.1 191.7 35.9 216.3 46.8 100.7 49.5 -17.7 35.6 -188.7 23.8 364.3 Find the correlation coefficient and report it accurate to three decimal places. r =

Question