Question 1048466: Hello, can someone please check my work for a and b? Also, I am not sure how to find the answer for c.
Given the following data where MPG is the response variable and weight is the explanatory variable:
(MPG, Weight)
Car 1- 25, 2365
Car 2 - 22, 3020
Car 3- 23, 3235
Car 4- 18, 3545
Car 5- 19, 2905
Car 6- 27, 2420
a. Interpret the meaning of the y-intercept and the slope within this scenario.
my answer but I am not sure how to interpret: y = 39.678 – 0.006x
b. What would you predict the city MPG to be for a car that weighs 3000 pounds?
39.678 – 0.006(3000) = 21.678 MPG
c.If a car that weighs 3000 pounds actually gets 32 MPG, would this be unusual? Calculate the residual and talk about what that value represents.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! b to more decimal places is 0.00595, but your answer is correct
That means a car with no weight would get 39.7 mpg. The y-intercept in these problems is usually meaningless. It says that with every pound increase, the mph will decrease 0.006.
I would get 21.828 mpg, different, because I use 0.00595.
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the residual would be 32-21.678=+10.322 mpg
The other residuals are
-0.60
+0.42
+2.32
-0.108
-3.39
+1.72
The mean of these values is 0.362, not too far from the 0 they should have, with a sd of 2.01. To have a car that has a residual of 10 would be very unusual and suggest either some error in the data or a very special or different vehicle, since the residual is 5 sd from the mean of the residuals.
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