Question
QUESTION 16. The estimated regression equation y=123.77+11.87x was obtained using the(x,y)(x,y)pairs of observations in the table below. Determine the missing values. Report xx and yy
QUESTION 16. The estimated regression equation y=123.77+11.87x was obtained using the(x,y)(x,y)pairs of observations in the table below. Determine the missing values.
Report xx and yy as whole numbers. Report yy^ and residuals accurate to 2 decimal places.
xx | yy | yy^ | ResidualResidual |
---|---|---|---|
449 | 505.34 | ||
75 | 5.52 | ||
724 | -18.74 | ||
256.07 | 35.93 | ||
83 | 895 |
QUESTION 15.
Mileage('000km) | Sale_Price($'000) |
---|---|
67.4 | 20.5 |
73.4 | 23.0 |
6.9 | 26.4 |
62.8 | 25.8 |
65.7 | 23.5 |
37.8 | 23.5 |
21.9 | 24.9 |
12.4 | 26.9 |
34.6 | 23.7 |
42.9 | 28.0 |
20.5 | 30.2 |
20.6 | 28.0 |
18.6 | 30.4 |
19.8 | 27.2 |
24.2 | 24.7 |
34.5 | 25.7 |
76.5 | 22.7 |
41.0 | 22.2 |
23.5 | 24.8 |
74.2 | 19.8 |
75.0 | 24.6 |
48.2 | 26.4 |
77.7 | 24.5 |
75.1 | 21.6 |
56.9 | 22.4 |
65.8 | 23.6 |
43.4 | 22.0 |
61.5 | 26.1 |
40.4 | 25.1 |
38.0 | 28.4 |
49.9 | 25.3 |
64.5 | 22.9 |
76.6 | 23.4 |
50.2 | 25.1 |
35.8 | 26.5 |
16.3 | 30.7 |
40.6 | 26.2 |
Use software to generate a linear regression output for the data. Report numeric answers accurate to at least 4 decimal places or copy output results and paste directly into the boxes. 1. The independent variable is Select an answer Mileage or Sale Price ?. 2.a. The slope of the regression equation for the linear relationship = .
b. This indicates that the relationship is very weak, positive, weak, negative or strong ?
Thus, as Mileage increases, Sale Price increases or decreases on average ? 3. The y-intercept = . Considering these are used cars, does the y-intercept have a practical meaning for these data? No, it does not or Yes, it does?
Why? Because the slope can't be zero or Because the intercept can be zero or Because the intercept can be negative or Because car mileage can't be zero or Because the slope can be negative? 4. The correlation coefficient = . This indicates a very weak or neutral or weak or strong linear relationship? 5. The percentage of the variation in Sale Price that is explained by Mileage (to 2 decimal places) is %?. 6. Use the unrounded results from regression output to predict the sale price of one of these cars with a mileage of 40,870 km. Report your answer to the nearest dollar. Do not round intermediate results. Predicted Sale Price = $$ ?
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