Question

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

alphaαequals=​0.05.)

x	1010	88	1313	99	1111	1414	66	44	1212	77	55
y	7.457.45	6.786.78	12.7412.74	7.117.11	7.817.81	8.858.85	6.096.09	5.395.39	8.148.14	6.416.41	5.735.73

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Click here to view a table of critical values for the correlation coefficient.

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

requals=nothing.

​(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

sufficientsufficient

evidence to support the claim of a nonlinear correlation between the two variables.

B.There is

insufficientinsufficient

evidence to support the claim of a nonlinear correlation between the two variables.

C.There is

sufficientsufficient

evidence to support the claim of a linear correlation between the two variables.

D.There is

insufficientinsufficient

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 perfect​ straight-line pattern, except for the presence of one outlier.

B.

The scatterplot does not reveal a perfect​ straight-line pattern.

C.

The scatterplot does not reveal a perfect​ straight-line pattern, and contains one outlier.

D.

The scatterplot reveals a perfect​ straight-line pattern and does not contain any outliers.

Answer 1