Question
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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