Find & practically interpret the correlation coefficient (r) Find & practically interpret the coefficient of determination (R2) Find the equation of the least-squares line (i.e. fill in the numbers for y^=a+bxy^=a+bx), where y is price and x is mileage Find & practically interpret the slope (b) Find & interpret the y-intercept (a) if an interpretation is possible. If it’s not possible, just report the y-intercept and explain why it can not be interpreted practically Use your model to estimate the price of a car that has 100,000 miles. Is this prediction reasonable? Why or why not? Provide a brief conclusion or discussion of the results that includes one of the following: – 1 point potential problems or sources of bias are the

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Find & practically interpret the correlation coefficient (r)

Find & practically interpret the coefficient of determination (R2)

Find the equation of the least-squares line (i.e. fill in the numbers for y^=a+bxy^=a+bx), where y is price and x is mileage

Find & practically interpret the slope (b)

Find & interpret the y-intercept (a) if an interpretation is possible. If it’s not possible, just report the y-intercept and explain why it can not be interpreted practically

Use your model to estimate the price of a car that has 100,000 miles. Is this prediction reasonable? Why or why not?

  1. Provide a brief conclusion or discussion of the results that includes one of the following: – 1 point
    • potential problems or sources of bias
    • are the results what you expected?
    • are there other variables that may also be useful to predict the price of a car

 

Options (1 of 2)
Simple linear regression results:
Dependent Variable: Sale Price
Independent Variable: Mileage
Sale Price = 50103.948 - 0.40458624 Mileage
Sample size: 30
R (correlation coefficient) = -0.51297305
R-sq = 0.26314135
Estimate of error standard deviation: 9953.8887
Parameter estimates:
Parameter Estimate
Std. Err. Alternative DF
T-Stat
P-value
Intercept
50103.948 3680.1341
#0 28 13.614707 <0.0001
Slope
-0.40458624 0.12794686
#0 28 -3.1621427 0.0037
Analysis of variance table for regression model:
Source DF
MS
F-stat
P-value
Model
1 9.9071446e8 9.9071446e8 9.9991466 0.0037
Error
28 2.7742372e9
99079901
Total
29 3.7649517e9
Transcribed Image Text:Options (1 of 2) Simple linear regression results: Dependent Variable: Sale Price Independent Variable: Mileage Sale Price = 50103.948 - 0.40458624 Mileage Sample size: 30 R (correlation coefficient) = -0.51297305 R-sq = 0.26314135 Estimate of error standard deviation: 9953.8887 Parameter estimates: Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 50103.948 3680.1341 #0 28 13.614707 <0.0001 Slope -0.40458624 0.12794686 #0 28 -3.1621427 0.0037 Analysis of variance table for regression model: Source DF MS F-stat P-value Model 1 9.9071446e8 9.9071446e8 9.9991466 0.0037 Error 28 2.7742372e9 99079901 Total 29 3.7649517e9
Options
Sale Price
60000-
50000-
40000-
30000-
10000
20000
30000
40000
50000
6000
70000
Mileage
Transcribed Image Text:Options Sale Price 60000- 50000- 40000- 30000- 10000 20000 30000 40000 50000 6000 70000 Mileage
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