PLEASE HELP WITH THE LAST PART OF THIS PROBELM 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 α=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 66.0 402.0 1567.0 1131.0 270.0 253.0 110.0 154.0 32.0 Justice Salary 29 45 91 57 46 61 26 27 17 What are the null and alternative hypotheses? A. H0: ρ≠0 H1: ρ=0 B. H0: ρ=0 H1: ρ<0 C. H0: ρ=0 H1: ρ≠0 Your answer is correct. D. H0: ρ=0 H1: ρ>0 Construct a scatterplot. Choose the correct graph below. A. 08001600050100Court IncomeJustice Salary A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Seven of the points loosely follow the pattern of a line passing through the points (147, 35) and (1276, 89). The plotted points (137, 13) and (1315, 14) are outliers. B. 08001600050100Court IncomeJustice Salary A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine plotted points follow the pattern of a line that falls from left to right passing through the points (216, 84) and (1413, 43). C. 08001600050100Court IncomeJustice Salary A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Eight of the plotted points follow the pattern of a line rising from left to right passing through the points (32.0, 17) and (1567.0, 91). An outlier is plotted at (253.0, 61). Your answer is correct. D. 08001600050100Court IncomeJustice Salary A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Eight of the plotted points loosely follow the pattern of a line falling from left to right passing through the points (264, 84) and (1473, 17). An outlier is plotted at (421, 24).. The linear correlation coefficient is r=0.8670.867. (Round to three decimal places as needed.) The test statistic is t=4.6104.610. (Round to three decimal places as needed.) The P-value is 0.0010.001. (Round to three decimal places as needed.) Because the P-value is less than the significance level 0.05, there is sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of α=0.05. PLEASE HELP WITH THIS PART: 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 appear that justices might profit by issuing smaller fines. C. It appears that justices profit the same despite the amount of the fines. D. It does not appear that justices might profit by levying larger fines.

PLEASE HELP WITH THE LAST PART OF THIS PROBELM 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 α=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 66.0 402.0 1567.0 1131.0 270.0 253.0 110.0 154.0 32.0 Justice Salary 29 45 91 57 46 61 26 27 17 What are the null and alternative hypotheses? A. H0: ρ≠0 H1: ρ=0 B. H0: ρ=0 H1: ρ<0 C. H0: ρ=0 H1: ρ≠0 Your answer is correct. D. H0: ρ=0 H1: ρ>0 Construct a scatterplot. Choose the correct graph below. A. 08001600050100Court IncomeJustice Salary A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Seven of the points loosely follow the pattern of a line passing through the points (147, 35) and (1276, 89). The plotted points (137, 13) and (1315, 14) are outliers. B. 08001600050100Court IncomeJustice Salary A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine plotted points follow the pattern of a line that falls from left to right passing through the points (216, 84) and (1413, 43). C. 08001600050100Court IncomeJustice Salary A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Eight of the plotted points follow the pattern of a line rising from left to right passing through the points (32.0, 17) and (1567.0, 91). An outlier is plotted at (253.0, 61). Your answer is correct. D. 08001600050100Court IncomeJustice Salary A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Eight of the plotted points loosely follow the pattern of a line falling from left to right passing through the points (264, 84) and (1473, 17). An outlier is plotted at (421, 24).. The linear correlation coefficient is r=0.8670.867. (Round to three decimal places as needed.) The test statistic is t=4.6104.610. (Round to three decimal places as needed.) The P-value is 0.0010.001. (Round to three decimal places as needed.) Because the P-value is less than the significance level 0.05, there is sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of α=0.05. PLEASE HELP WITH THIS PART: 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 appear that justices might profit by issuing smaller fines. C. It appears that justices profit the same despite the amount of the fines. D. It does not appear that justices might profit by levying larger fines.

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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PLEASE HELP WITH THE LAST PART OF THIS PROBELM

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

α=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	66.0	402.0	1567.0	1131.0	270.0	253.0	110.0	154.0	32.0
Justice Salary	29	45	91	57	46	61	26	27	17

What are the null and alternative hypotheses?

H0:

ρ≠0

H1:

ρ=0

H0:

ρ=0

H1:

ρ<0

H0:

ρ=0

H1:

ρ≠0

Your answer is correct.

H0:

ρ=0

H1:

ρ>0

Construct a scatterplot. Choose the correct graph below.

08001600050100Court IncomeJustice Salary

A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Seven of the points loosely follow the pattern of a line passing through the points (147, 35) and (1276, 89). The plotted points (137, 13) and (1315, 14) are outliers.

08001600050100Court IncomeJustice Salary

A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine plotted points follow the pattern of a line that falls from left to right passing through the points (216, 84) and (1413, 43).

08001600050100Court IncomeJustice Salary

A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Eight of the plotted points follow the pattern of a line rising from left to right passing through the points (32.0, 17) and (1567.0, 91). An outlier is plotted at (253.0, 61).

Your answer is correct.

08001600050100Court IncomeJustice Salary

A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Eight of the plotted points loosely follow the pattern of a line falling from left to right passing through the points (264, 84) and (1473, 17). An outlier is plotted at (421, 24)..

The linear correlation coefficient is

r=0.8670.867.

(Round to three decimal places as needed.)

The test statistic is

t=4.6104.610.

(Round to three decimal places as needed.)

The P-value is

0.0010.001.

(Round to three decimal places as needed.)

Because the P-value is

less

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

α=0.05.

PLEASE HELP WITH THIS PART:

Based on the results, does it appear that justices might profit by levying larger fines?

It does appear that justices might profit by levying larger fines.

It does appear that justices might profit by issuing smaller fines.

It appears that justices profit the same despite the amount of the fines.

It does not appear that justices might profit by levying larger fines.

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