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Consider the following regression output. Sale price = b0+b1(Odometer)+e SUMMARY OUTPUT Regression Statistics Descriptive Statistics Multiple R 0.4028 Xbar 67541.92 R Square 0.1623 Sx 29865.08

Consider the following regression output. Sale price = b0+b1(Odometer)+e

SUMMARY OUTPUT
Regression Statistics Descriptive Statistics
Multiple R 0.4028 Xbar 67541.92
R Square 0.1623 Sx 29865.08
Adjusted R Square 0.1157 Sy 1341.13
Standard Error 1261.1428
Observations 20
ANOVA
df SS MS F Significance F
Regression 1 5545197.38 5545197.38 3.49 0.08
Residual 18 28628662.41 1590481.25
Total 19 34173859.79
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 80458.942 712.511 112.923 0.000 78962.011 81955.873
Odometer reading -0.018 0.010 -1.867 0.078 -0.038 0.002
  1. Test at both the 5% and 10% levels if the coefficients of this regression are significantly different from zero.
    1. What does it mean in this case if you fail to reject?
    2. Explain briefly why it is important to state your significance levelbefore your read a output table such as this.
  2. Compute the average sale price of the sample.
  3. Suppose a given vehicle has an odometer reading of 100,000km,
    1. What would be the predicted sale price of this vehicle?

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