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 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 justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income Justice Salary 66.0 404.0 1567.01131.0 274.0 254.0 111.0 156.0 33.0 e 29 44 90 56 47 62 25 26 17 Construct a scatterplot. Choose the correct graph below. OA. O B. C. O D. AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- 50 4 50- 50- 50- intr 0- 0- 0+ 0+ 1600 800 Court Income 800 1600 Court Income 800 1600 800 1600 Court Income Court Income The linear correlation coefficient is r= (Round to three decimal places as needed.)
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 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 justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income Justice Salary 66.0 404.0 1567.01131.0 274.0 254.0 111.0 156.0 33.0 e 29 44 90 56 47 62 25 26 17 Construct a scatterplot. Choose the correct graph below. OA. O B. C. O D. AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- AJustice Salary 100- 50 4 50- 50- 50- intr 0- 0- 0+ 0+ 1600 800 Court Income 800 1600 Court Income 800 1600 800 1600 Court Income Court Income The linear correlation coefficient is r= (Round to three decimal places as needed.)
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 12PPS
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Concept explainers
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
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
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
justice salaries? Based on the results, does it appear that justices might profit by levying larger fines?
Court Income
66.0 404.0 1567.01131.0 274.0 254.0 111.0 156.0 33.0
29
Justice Salary
44
90
56
47
62
25
26
17
Construct a scatterplot. Choose the correct graph below.
O A.
O B.
C.
OD.
AJustice Salary
100-
AJustice Salary
100-
AJustice Salary
100-
AJustice Salary
100-
50-
50-
50-
50-
0-
800
1600
1600
800
Court Income
800
1600
800
1600
Court Income
Court Income
Court Income
The linear correlation coefficient is r=
(Round to three decimal places as needed.)
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
Justice Salary
66.0 404.0 1567.0 1131.0 274.0 254.0 111.0 156.0 33.0
29
44
90
56
47
62
25
26
17
The linear correlation coefficient is r=
(Round to three decimal places as needed.)
The test statistic is t=.
(Round to three decimal places as needed.)
The P-value is.
(Round to three decimal places as needed.)
than the significance level 0.05, there
court incomes and justice salaries for a significance level of a=0.05.
Because the P-value is
sufficient evidence to support the claim that there is a linear correlation between
Based on the results, does it appear that justices might profit by levying larger fines?
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