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 IncomeJustice Salary66.0 405.0 1566.01132.0 274.0 252.0 112.0 | 151.0 31.0 e193144 90 55 44622425What are the null and alternative hypotheses?O A. Ho p=0O B. Ho: p#0H,: p= 0O C. Ho p=0H: p>0O D. Ho p=0H p<0Construct a scatterplot. Choose the correct graph below.OA.OB.OC.OD.AJustice Salary100-AJustice Salary100-AJustice Salary100-AJustice Salary100-..50450-50-50-.... ..0+H0 + T8000+0-1600800160080016008001600Click to select your answer(S). 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 IncomeJustice Salary66.0 405.0 1566.01132.0 274.0 252.0 112.0 151.0 31.0e623144 90 55 4424 2519The linear correlation coefficient is r=(Round to three decimal places as needed.)The test statistic is t=D.(Round to three decimal places as needed.)The P-value is(Round to three decimal places as needed.)Because the P-value isV than the significance level 0.05, thereV 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?O A. It appears that justices profit the same despite the amount of the fines.O B. It does not appear that justices might profit by levying larger fines.O C. It does appear that justices might profit by issuing smaller fines.O D. It does appear that iustices miaht profit bv levvina laraer fines.Click to select your answer(s).

Correlation tells us the strength of linear relationship between two variables.

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 - Court Income 66.0 405.01566.01132.0 274.0 252.0 112.0 151.0 31.0 e Justice Salary 31 44 90 55 44 62 24 25 19 What are the null and alternative hypotheses? O A. Ho p=0 H, p 0 OC. Ho p=0 H:p>0 O B. Ho: p+0 H p=0 O D. Ho p=0 H, p<0 Construct a scatterplot. Choose the correct graph below OA. OB. C. AJustice Salary 100 AJustice Salary 100- AJustice Salary 100 .. 50-

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 - Court Income 66.0 405.01566.01132.0 274.0 252.0 112.0 151.0 31.0 e Justice Salary 31 44 90 55 44 62 24 25 19 What are the null and alternative hypotheses? O A. Ho p=0 H, p 0 OC. Ho p=0 H:p>0 O B. Ho: p+0 H p=0 O D. Ho p=0 H, p<0 Construct a scatterplot. Choose the correct graph below OA. OB. C. AJustice Salary 100 AJustice Salary 100- AJustice Salary 100 .. 50-

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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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

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
66.0 405.0 1566.01132.0 274.0 252.0 112.0 | 151.0 31.0 e
19
31
44 90 55 44
62
24
25
What are the null and alternative hypotheses?
O A. Ho p=0
O B. Ho: p#0
H,: p= 0
O C. Ho p=0
H: p>0
O D. Ho p=0
H p<0
Construct a scatterplot. Choose the correct graph below.
OA.
OB.
OC.
OD.
AJustice Salary
100-
AJustice Salary
100-
AJustice Salary
100-
AJustice Salary
100-
..
504
50-
50-
50-
.... ..
0+
H
0 + T
800
0+
0-
1600
800
1600
800
1600
800
1600
Click to select your answer(S).

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