Skip to main content
Library homepage
 

Text Color

Text Size

 

Margin Size

 

Font Type

Enable Dyslexic Font
Business LibreTexts

14.12: Problems

( \newcommand{\kernel}{\mathrm{null}\,}\)

1.
A Fortune 500 company is tracking revenues versus cash flow for recent years, and the data is shown in the table below. Consider cash flow to be the dependent variable. Create a scatter plot of the data set, comment on the correlation between these two variables, and comment on the correlation for this data (all dollar amounts are in thousands).
Revenues ($000s) Cash Flow ($000s)
237 82
241 86
229 77
284 94
307 93
Table 14.9
2.
A Fortune 500 company is tracking revenues versus cash flow for recent years, and the data is shown in the table below. Consider cash flow to be the dependent variable. Calculate the correlation coefficient for this data (all dollar amounts are in thousands).
Revenues ($000s) Cash Flow ($000s)
237 82
241 86
229 77
284 94
307 93
Table 14.10
3.
A chief financial officer calculates the correlation coefficient for bond prices versus interest rate as -0.71. The data set contained nine (x, y) data points. Determine if the correlation is significant or not significant at the 0.05 level of significance.
4.
A Fortune 500 company is tracking revenues versus cash flow for recent years, and the data is shown in the table below. Consider cash flow to be the dependent variable. Determine the best-fit linear regression equation for this data set (all dollar amounts are in thousands).
Revenues ($000s) Cash Flow ($000s)
237 82
241 86
229 77
284 94
307 93
Table 14.11
5.
A Fortune 500 company is tracking revenues versus cash flow for recent years, and the data is shown in the table below. Consider cash flow to be the dependent variable. Assume the correlation is significant. Predict the cash flow for company revenues of $250,000 (all dollar amounts are in thousands).
Revenues ($000s) Cash Flow ($000s)
237 82
241 86
229 77
284 94
307 93
Table 14.12
6.
A Fortune 500 company is tracking revenues versus cash flow for recent years, and the data is shown in the table below. Consider cash flow to be the dependent variable. Assume the correlation is significant. Predict the cash flow for company revenues of $750,000 (all dollar amounts are in thousands).
Revenues ($000s) Cash Flow ($000s)
237 82
241 86
229 77
284 94
307 93
Table 14.13
7.
A Fortune 500 company is tracking revenues versus cash flow for recent years, and the data is shown in the table below. Consider cash flow to be the dependent variable. Calculate the residual for the revenue value of $284,000 (all dollar amounts are in thousands):
Revenues ($000s) Cash Flow ($000s)
237 82
241 86
229 77
284 94
307 93
Table 14.14

This page titled 14.12: Problems is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform.

Support Center

How can we help?