Use the given data set to complete parts (a) through (c) below. (Use α=0.05.) x 10 8 13 9 11 14 6 4 12 7 5 y 9.14 8.15 8.74 8.78 9.25 8.09 6.12 3.09 9.13 7.27 4.75 View the table of critical values for the correlation coefficient. ( Table is attached) a. Construct a scatterplot. Choose the correct graph below. ( Graphs are attached in picture) b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= ___________. (Round to three decimal places as needed.) Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. A. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables. B. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables. C. There is sufficient evidence to support the claim of a linear correlation between the two variables. D. There is insufficient evidence to support the claim of a linear correlation between the two variables. c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below. A. The scatterplot does not reveal a distinct pattern. B. The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope. C. The scatterplot reveals a distinct pattern that is not a straight-line pattern. D. The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope.

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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Question

Question #3

Use the given data set to complete parts (a) through (c) below. (Use

α=0.05.)

x	10	8	13	9	11	14	6	4	12	7	5
y	9.14	8.15	8.74	8.78	9.25	8.09	6.12	3.09	9.13	7.27	4.75

View the table of critical values for the correlation coefficient.

( Table is attached)

a. Construct a scatterplot. Choose the correct graph below.

( Graphs are attached in picture)

b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.

The linear correlation coefficient is r= ___________.

(Round to three decimal places as needed.)

Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.

A. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables.

B. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables.

C. There is sufficient evidence to support the claim of a linear correlation between the two variables.

D. There is insufficient evidence to support the claim of a linear correlation between the two variables.

c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below.

A. The scatterplot does not reveal a distinct pattern.

B. The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope.

C. The scatterplot reveals a distinct pattern that is not a straight-line pattern.

D. The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope.