Question The following Stata output refers to a regression for the determinants of the price of cars for a sample of 74 cars in a particular year. The variable definitions are as follows: price = price of the car mpg = miles per gallon (fuel efficiency) headroom = car headroom in inches Required 1. Interpret the following from the Stata output: 1a. Coefficients on mpg and headroom, and their t-statistics and p-values. 1b. R-squared 1c. The F-statistic 2. What is the expected price for a car with mpg of 37 and a headroom of 3.2?
Question
The following Stata output refers to a regression for the determinants of the price of cars for a sample of 74 cars in a particular year. The variable definitions are as follows:
price = price of the car
mpg = miles per gallon (fuel efficiency)
headroom = car headroom in inches
Required
1. Interpret the following from the Stata output:
1a. Coefficients on mpg and headroom, and their t-statistics and p-values.
1b. R-squared
1c. The F-statistic
2. What is the expected price for a car with mpg of 37 and a headroom of 3.2?
![regress price mpg headroom
Source
Model
Residual
Total
price
mpg
headroom
cons
SS
144280501
490784895
635065396
df
2
72140250.4
71 6912463.32
73
Coef. Std. Err.
MS
-259.1057
58.42485
-334.0215
399.5499
12683.31 2074.497
8699525.97
t
Number of obs
F (2, 71)
Prob > F
R-squared
Adj R-squared =
Root MSE
P>|t|
-4.43
0.000
-0.84 0.406
6.11
0.000
=
74
10.44
0.0001
0.2272
0.2054
2629.2
[95% Conf. Interval]
-375.6015 -142.6098
-1130.701
462.6585
8546.885
16819.74](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbf137d1-11c7-464a-991f-4c29e963a270%2F8d924800-b4b2-4b3d-a5fd-5d95a42e8aaa%2Fg3vlsgj_processed.png&w=3840&q=75)
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