Question

For the following data​ (a) display the data in a scatter​ plot, (b) calculate the sample...

For the following data​ (a) display the data in a scatter​ plot, (b) calculate the sample correlation coefficient​ r, and​ (c) make a conclusion about the type of correlation. Use technology.

The earnings per share​ (in dollars) and the dividends per share​ (in dollars) for 66 medical supplies companies in a recent year are shown in the data set below.

Earnings per​ share, x

2.74

5.02

4.57

3.05

3.77

2.17

+
+
+

Dividends per​ share, y

0.54

2.37

1.44

0.82

1.05

0.260

​(a) Create a scatter plot that best represents the data below. Use technology.

​(c) Which of the following best describes the type of correlation that exists between earnings per share and dividends per​ share?

A. No linear correlation

B. Strong negative linear correlation

C. Strong positive linear correlation

D. Weak negative linear correlation

E. Weak positive linear correlation

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Answer #1

b)Sample correlation is 0.9558787.

c) There is a strong positive linear correlation as correlation is very close to 1 and also have positive sign.

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