Question

4. Use the given data set to complete parts​ (a) through​ (c) below.​ (Use a=​0.05.)

x              y

10           9.13

8              8.13

13           8.73

9              8.78

11           9.27

14           8.09

6              6.13

4              3.09

12           9.14

7              7.27

5              4.73

a. Construct a scatterplot

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 reveals a distinct pattern that is a​ straight-line pattern with negative slope.

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

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

D.The scatterplot does not reveal a distinct pattern.

Answer 1

a)

scatterplot is attached above

The linear correlation coefficient is r= 0.815

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

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