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The table shows the numbers ofnew-vehicle sales(in thousands) in the United States for Company A and Company B for 10 years. The equation of the

The table shows the numbers ofnew-vehicle sales(in thousands) in the United States for Company A and Company B for 10 years. The equation of the regression line is

y=0.981x+1,233.64. Complete parts(a) and(b) below.

New-vehicle sales (CompanyA),x

4,159

3,892

3,586

3,415

3,290

3,102

2,851

2,498

1,948

2,055

New-vehicle sales (CompanyB),y

4,909

4,825

4,814

4,712

4,647

4,469

4,658

3,816

2,943

2,765

(a) Find the coefficient of determination and interpret the result.

r2=

nothing

(Round to three decimal places asneeded.)

How can the coefficient of determination beinterpreted?

The coefficient of determination is the fraction of the variation innew-vehicle sales for

Company B

Company A

that can be explained by the variation innew-vehicle sales for

Company B

Company A

and is represented by

r squared .

r2.

1 minus r squared .

1r2.

The remaining fraction of thevariation,

r squared

r2

1 minus r squared

1r2

, is unexplained and is due to other factors or to sampling error.

(b) Find the standard error of estimate se and interpret the result.

se=

nothing

(Round to three decimal places asneeded.)

How can the standard error of estimate beinterpreted?

The standard error of estimate of thenew-vehicle sales for

Company B

Company A

for

a specific number

any number

any number within the range of the data set

ofnew-vehicle sales for

Company B

Company A

is about se

thousands of new vehicles.

new vehicles.

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