document.write( "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. \r
\n" ); document.write( "\n" ); document.write( "Given the following data where MPG is the response variable and weight is the explanatory variable:
\n" ); document.write( " (MPG, Weight)
\n" ); document.write( "Car 1- 25, 2365
\n" ); document.write( "Car 2 - 22, 3020
\n" ); document.write( "Car 3- 23, 3235
\n" ); document.write( "Car 4- 18, 3545
\n" ); document.write( "Car 5- 19, 2905
\n" ); document.write( "Car 6- 27, 2420
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\n" ); document.write( "a. Interpret the meaning of the y-intercept and the slope within this scenario. \r
\n" ); document.write( "\n" ); document.write( "my answer but I am not sure how to interpret: y = 39.678 – 0.006x \r
\n" ); document.write( "\n" ); document.write( "b. What would you predict the city MPG to be for a car that weighs 3000 pounds?
\n" ); document.write( "39.678 – 0.006(3000) = 21.678 MPG\r
\n" ); document.write( "\n" ); document.write( "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. \r
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Algebra.Com's Answer #664060 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
b to more decimal places is 0.00595, but your answer is correct
\n" ); document.write( "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.
\n" ); document.write( "I would get 21.828 mpg, different, because I use 0.00595.
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\n" ); document.write( "the residual would be 32-21.678=+10.322 mpg
\n" ); document.write( "The other residuals are
\n" ); document.write( "-0.60
\n" ); document.write( "+0.42
\n" ); document.write( "+2.32
\n" ); document.write( "-0.108
\n" ); document.write( "-3.39
\n" ); document.write( "+1.72
\n" ); document.write( "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.\r
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