Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income 64.0 402.0 1566.0 1131.0 272.0 252.0 112.0 152.0 | 31.0 Justice Salary 29 44 94 56 44 62 24 25 18 B. AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- 50- 50- 50- 50- 0+ 0+ 0- 0- 800 1600 1600 1600 800 Court Income 800 Court Income 1600 800 Court Income Court Income The linear correlation coefficient r is (Round to three decimal places as needed.) The test statistic t is. (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value is than the significance level 0.05, there sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of a = 0.05. Based on the results, does it appear that justices might profit by levying larger fines? A. It does appear that justices might profit by levying larger fines. B. It does not appear that justices might profit by levying larger fines. C. It appears that justices profit the same despite the amount of the fines.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there
sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines?
Court Income
64.0 402.0 1566.0 1131.0 272.0 252.0 112.0 152.0 | 31.0
Justice Salary
29
44
94
56
44
62
24
25
18
B.
AJustice Salary
100-
AJustice Salary
100-
AJustice Salary
100-
AJustice Salary
100-
50-
50-
50-
50-
0+
0+
0-
0-
800
1600
1600
1600
800
Court Income
800
Court Income
1600
800
Court Income
Court Income
The linear correlation coefficient r is
(Round to three decimal places as needed.)
The test statistic t is.
(Round to three decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
Because the P-value is
than the significance level 0.05, there
sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of a = 0.05.
Based on the results, does it appear that justices might profit by levying larger fines?
A. It does appear that justices might profit by levying larger fines.
B. It does not appear that justices might profit by levying larger fines.
C. It appears that justices profit the same despite the amount of the fines.
Transcribed Image Text:Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income 64.0 402.0 1566.0 1131.0 272.0 252.0 112.0 152.0 | 31.0 Justice Salary 29 44 94 56 44 62 24 25 18 B. AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- 50- 50- 50- 50- 0+ 0+ 0- 0- 800 1600 1600 1600 800 Court Income 800 Court Income 1600 800 Court Income Court Income The linear correlation coefficient r is (Round to three decimal places as needed.) The test statistic t is. (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value is than the significance level 0.05, there sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of a = 0.05. Based on the results, does it appear that justices might profit by levying larger fines? A. It does appear that justices might profit by levying larger fines. B. It does not appear that justices might profit by levying larger fines. C. It appears that justices profit the same despite the amount of the fines.
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