An article gave the following data on median worker pay (in thousands of dollars) and the 1-year percent change in stock price for the 13 highest paying companies in the United States. Percent Change Median Worker Pay in Stock Price Company Company 1 Company 2 Company 3 Company 4 Company 5 Company 6 Company 7 Company 8 Company 9 Company 10 Company 11 Company 12 Company 13 134.7 132.2 125.0 122.8 122.5 121.2 121.2 119.0 118.0 118.0 117.6 117.4 115.1 21.9 92.1 33.8 52.1 41.7 2.7 5.1 29.9 8.1 37.2 16.0 21.9 -44.9

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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PLEASE ANSWER ALL THE PARTS OF THE QUESTION (THIS IS NOT A GRADED ASSIGNMENT)

(a) Construct a scatterplot for these data.
Percent Change
in Stock Price
80
60
ELKE
40
Median
20
Worker
115 120 125 130 135 140
- 20
Pay
i
Percent Change
in Stock Price
80
60
40
20
-20
-40
115 120 125 130 135 140
Median
Worker
Pay
Percent Change
in Stock Price
80
60
40
20
-20
-40
(b) Calculate the value of the correlation coefficient. (Round your answer to four decimal places.)
Interpret the correlation coefficient.
O There is no association between the percent change in stock price and median worker pay.
O There is a moderate, negative association between the percent change in stock price and median worker pay.
O There is a weak, positive association between the percent change in stock price and median worker pay.
O There is a weak, negative association between the percent change in stock price and median worker pay.
O There is a moderate, positive association between the percent change in stock price and median worker pay.
-40
115 120 125 130 135 140
Median
Worker
Pay
i
Percent Change
in Stock Price
80
60
40
20
-20
- 40
115 120 125 130 135 140
(c) The article states that companies that pay more are seeing a payoff in their stock performance. Is this conclusion justified based on these data? Explain.
O The conclusion is not justified based on these data because there is no association between the variables.
O The conclusion is not justified based on these data because there is a negative association suggesting that in general, as median worker pay increases, the percent change in stock price decreases.
O The conclusion is not justified based on these data because there is a positive association suggesting that in general, as median worker pay increases, the percent change in stock price decreases.
O The conclusion is justified based on these data because there is a negative association suggesting that in general, as median worker pay increases, so does the percent change in stock price.
O The conclusion is justified based on these data because there is a positive association suggesting that in general, as median worker pay increases, so does the percent change in stock price.
(d) Is it reasonable to generalize conclusions based on these data to the population of all co
nies in the United States? Explain why or why not.
O The companies represent a random sample of companies from the population of all U.S. companies. Therefore, it is reasonable to generalize the results to all companies in the U.S.
O The companies do not represent a random sample of companies from the population of all U.S. companies. Therefore, it is reasonable to generalize the results to all companies in the U.S.
O The companies do not represent a random sample of companies from the population of all U.S. companies. Therefore, it is not reasonable to generalize the results to all companies in the U.S.
O The strength the of the association is strong enough to allow one to generalize the results to all companies in the U.S.
O The companies represent a random sample of companies from the population of all U.S. companies. Therefore, it is not reasonable to generalize the results to all companies in the U.S.
Median
Worker
Pay
i
Transcribed Image Text:(a) Construct a scatterplot for these data. Percent Change in Stock Price 80 60 ELKE 40 Median 20 Worker 115 120 125 130 135 140 - 20 Pay i Percent Change in Stock Price 80 60 40 20 -20 -40 115 120 125 130 135 140 Median Worker Pay Percent Change in Stock Price 80 60 40 20 -20 -40 (b) Calculate the value of the correlation coefficient. (Round your answer to four decimal places.) Interpret the correlation coefficient. O There is no association between the percent change in stock price and median worker pay. O There is a moderate, negative association between the percent change in stock price and median worker pay. O There is a weak, positive association between the percent change in stock price and median worker pay. O There is a weak, negative association between the percent change in stock price and median worker pay. O There is a moderate, positive association between the percent change in stock price and median worker pay. -40 115 120 125 130 135 140 Median Worker Pay i Percent Change in Stock Price 80 60 40 20 -20 - 40 115 120 125 130 135 140 (c) The article states that companies that pay more are seeing a payoff in their stock performance. Is this conclusion justified based on these data? Explain. O The conclusion is not justified based on these data because there is no association between the variables. O The conclusion is not justified based on these data because there is a negative association suggesting that in general, as median worker pay increases, the percent change in stock price decreases. O The conclusion is not justified based on these data because there is a positive association suggesting that in general, as median worker pay increases, the percent change in stock price decreases. O The conclusion is justified based on these data because there is a negative association suggesting that in general, as median worker pay increases, so does the percent change in stock price. O The conclusion is justified based on these data because there is a positive association suggesting that in general, as median worker pay increases, so does the percent change in stock price. (d) Is it reasonable to generalize conclusions based on these data to the population of all co nies in the United States? Explain why or why not. O The companies represent a random sample of companies from the population of all U.S. companies. Therefore, it is reasonable to generalize the results to all companies in the U.S. O The companies do not represent a random sample of companies from the population of all U.S. companies. Therefore, it is reasonable to generalize the results to all companies in the U.S. O The companies do not represent a random sample of companies from the population of all U.S. companies. Therefore, it is not reasonable to generalize the results to all companies in the U.S. O The strength the of the association is strong enough to allow one to generalize the results to all companies in the U.S. O The companies represent a random sample of companies from the population of all U.S. companies. Therefore, it is not reasonable to generalize the results to all companies in the U.S. Median Worker Pay i
An article gave the following data on median worker pay (in thousands of dollars) and the 1-year percent change in stock price for the 13 highest paying companies in the United States.
Company
Company 1
Company 2
Company 3
Company 4
Company 5
Company 6
Company 7
Company 8
Company 9
Company 10
Company 11
Company 12
Company 13
Median
Worker Pay
USE SALT
134.7
132.2
125.0
122.8
122.5
121.2
121.2
119.0
118.0
118.0
117.6
117.4
115.1
(a) Construct a scatterplot for these data.
Percent Change
in Stock Price
21.9
92.1
33.8
52.1
41.7
2.7
5.1
29.9
8.1
37.2
16.0
21.9
-44.9
Transcribed Image Text:An article gave the following data on median worker pay (in thousands of dollars) and the 1-year percent change in stock price for the 13 highest paying companies in the United States. Company Company 1 Company 2 Company 3 Company 4 Company 5 Company 6 Company 7 Company 8 Company 9 Company 10 Company 11 Company 12 Company 13 Median Worker Pay USE SALT 134.7 132.2 125.0 122.8 122.5 121.2 121.2 119.0 118.0 118.0 117.6 117.4 115.1 (a) Construct a scatterplot for these data. Percent Change in Stock Price 21.9 92.1 33.8 52.1 41.7 2.7 5.1 29.9 8.1 37.2 16.0 21.9 -44.9
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