arnings per share, x Dividends per share, y 0.96 0.92 4.12 0.51 3.5 2.24 8.01 1.09 1.8 0.67 The accompanying table shows the earnings per share (in dollars) and the dividends per share (in dollars) for 6 companies in a recent year. Complete parts (b) through (d) below. (b) Calculate the sample correlation coefficient r. r equals=nothing (Round to three decimal places as needed.) (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. There is ▼ (Blank) a moderate positive a strong positive a perfect negative a perfect positive no a strong negative a moderate negative linear correlation. Interpret the correlation. Choose the correct answer below. A. Based on the correlation, there does not appear to be any relationship between companies' earnings per share and their dividends per share. B. Based on the correlation, there does not appear to be a linear relationship between companies' earnings per share and their dividends per share. C. As companies' earnings per share increase, their dividends per share tend to increase. D. Increases in companies' earnings per share cause their dividends per share to decrease. E. As companies' earnings per share increase, their dividends per share tend to decrease. F. Increases in companies' earnings per share cause their dividends per share to increase. (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let alphaαequals=0.01. The critical value is nothing. Therefore, there ▼ (Blank) is not is sufficient evidence at the 11% level of significance to conclude that ▼ (Blank) there is a significant linear correlation there is no correlation between companies' earnings per share and their dividends per share. (Round to three decimal places as needed.)

arnings per share, x Dividends per share, y 0.96 0.92 4.12 0.51 3.5 2.24 8.01 1.09 1.8 0.67 The accompanying table shows the earnings per share (in dollars) and the dividends per share (in dollars) for 6 companies in a recent year. Complete parts (b) through (d) below. (b) Calculate the sample correlation coefficient r. r equals=nothing (Round to three decimal places as needed.) (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. There is ▼ (Blank) a moderate positive a strong positive a perfect negative a perfect positive no a strong negative a moderate negative linear correlation. Interpret the correlation. Choose the correct answer below. A. Based on the correlation, there does not appear to be any relationship between companies' earnings per share and their dividends per share. B. Based on the correlation, there does not appear to be a linear relationship between companies' earnings per share and their dividends per share. C. As companies' earnings per share increase, their dividends per share tend to increase. D. Increases in companies' earnings per share cause their dividends per share to decrease. E. As companies' earnings per share increase, their dividends per share tend to decrease. F. Increases in companies' earnings per share cause their dividends per share to increase. (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let alphaαequals=0.01. The critical value is nothing. Therefore, there ▼ (Blank) is not is sufficient evidence at the 11% level of significance to conclude that ▼ (Blank) there is a significant linear correlation there is no correlation between companies' earnings per share and their dividends per share. (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Earnings per share, x	Dividends per share, y
0.96	0.92
4.12	0.51
3.5	2.24
8.01	1.09
1.8	0.67

The accompanying table shows the earnings per share (in dollars) and the dividends per share (in dollars) for

companies in a recent year. Complete parts (b) through (d) below.

(b) Calculate the sample correlation coefficient r.

r equals=nothing

(Round to three decimal places as needed.)

There is

▼

(Blank)

a moderate positive

a strong positive

a perfect negative

a perfect positive

a strong negative

a moderate negative

linear correlation.

Interpret the correlation. Choose the correct answer below.

Based on the correlation, there does not appear to be any relationship between companies' earnings per share and their dividends per share.

Based on the correlation, there does not appear to be a linear relationship between companies' earnings per share and their dividends per share.

As companies' earnings per share increase, their dividends per share tend to increase.

Increases in companies' earnings per share cause their dividends per share to decrease.

As companies' earnings per share increase, their dividends per share tend to decrease.

Increases in companies' earnings per share cause their dividends per share to increase.

(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let

alphaαequals=0.01.

The critical value is

nothing.

Therefore, there

▼

(Blank)

is not

sufficient evidence at the

11%

level of significance to conclude that

▼

(Blank)

there is a significant linear correlation

there is no correlation

between companies' earnings per share and their dividends per share.

(Round to three decimal places as needed.)

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