The table shows the numbers of new-vehicle sales (in thousands) in the United States for Company A and Company for 10 years. The equation of the regression line is y = 0.991x + 1,222.81. Complete parts (a) and (b) below. 4,149 3,923 3,566 3,400 3,266 3,076 2,868 2,485 1,952 4,912 4,871 4,827 4,721 4,672 4,474 4,684 3,822 2,956 New-vehicle sales (Company A), X New-vehicle sales (Company B), y ……. (a) Find the coefficient of determination and interpret the result. r2 = 0.821 (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? Se (Round to three decimal places as needed.) 2,066 G 2,754 The coefficient of determination is the fraction of the variation in new-vehicle sales for Company B that can be explained by the variation in new-vehicle sales for Company A and is represented by r2. The remaining fraction of the variation, 1-2, is unexplained and is due to other factors or to sampling error. (b) Find the standard error of estimate se and interpret the result. C (1) More

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The table shows the numbers of new-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 = 0.991x + 1,222.81. Complete parts (a) and (b) below.
New-vehicle sales
(Company A), x
New-vehicle sales
(Company B), y
4,149 3,923 3,566 3,400 3,266 3,076 2,868 2,485 1,952 2,066
4,912 4,871 4,827 4,721 4,672 4,474 4,684 3,822 2,956 2,754
(a) Find the coefficient of determination and interpret the result.
r² =
r2
=
0.821
(Round to three decimal places as needed.)
How can the coefficient of determination be interpreted?
The coefficient of determination is the fraction of the variation in new-vehicle sales for Company B that can be
2
explained by the variation in new-vehicle sales for Company A and is represented by
The remaining
fraction of the variation, 1-2, is unexplained and is due to other factors or to sampling error.
s
(b) Find the standard error of estimates and interpret the result.
Se
O
(Round to three decimal places as needed.)
H CH
1
1
✓ ✓
U
I
More
X
Ir
Transcribed Image Text:The table shows the numbers of new-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 = 0.991x + 1,222.81. Complete parts (a) and (b) below. New-vehicle sales (Company A), x New-vehicle sales (Company B), y 4,149 3,923 3,566 3,400 3,266 3,076 2,868 2,485 1,952 2,066 4,912 4,871 4,827 4,721 4,672 4,474 4,684 3,822 2,956 2,754 (a) Find the coefficient of determination and interpret the result. r² = r2 = 0.821 (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? The coefficient of determination is the fraction of the variation in new-vehicle sales for Company B that can be 2 explained by the variation in new-vehicle sales for Company A and is represented by The remaining fraction of the variation, 1-2, is unexplained and is due to other factors or to sampling error. s (b) Find the standard error of estimates and interpret the result. Se O (Round to three decimal places as needed.) H CH 1 1 ✓ ✓ U I More X Ir
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