a car dealer conducted a study of toyota camrys that were recently sold. He reco
ID: 3322118 • Letter: A
Question
a car dealer conducted a study of toyota camrys that were recently sold. He recorded the car's engine size ( in liters) and the power of the engine (in horsepower). The resulting data was used to create this regression.
RSquare AAA
Root Mean Square Error: 6.69
Analysis of variance
Parameter estimates
based on this data if a camry has an engine size of 2.4 liters what horsepower would we predict
on average about how far are the possible values of b1 from the true value of B1 (ie the slope for engine size)
on average about how far the predicted values from the observed (actual) values of y
on average how much would we expect horsepower to change for a one liter increase in the size of the engine
the value of Rsquare is missing from this output (replaced with AAA) Find this value
the value of the F-statistic is missing from this output (replaced with BBB)
the test statistic for the slope is missing (replaced with CCC) Find this value
Which null hypothesis is the test statistic for question above
Source DF SS MS F-stat P-value Model 1 75199.558 75199.558 BBB <0.0001 Error 98 4383.2023 44.727 Total 99 79582.76Explanation / Answer
based on this data if a camry has an engine size of 2.4 liters what horsepower would we predict
on average about how far are the possible values of b1 from the true value of B1 (ie the slope for engine size)
Ans: The regression equation is
horsepower= -52.57 + 90.78 *Engine Size
The predicted horsepower for engine size of 2.4 liters is
horsepower= -52.57 + 90.78 *2.4 = 165.302
Q. on average about how far the predicted values from the observed (actual) values of y
Ans: On average about sqrt(44.727)=6.69 far the predicted values from the observed (actual) values of y
Q on average how much would we expect horsepower to change for a one-liter increase in the size of the engine
Ans: On average, 90.78 expect horsepower to change for a one-liter increase in the size of the engine.
Q the value of Rsquare is missing from this output (replaced with AAA) Find this value
the value of the F-statistic is missing from this output (replaced with BBB)
Ans: The is Rsquare (AAA)=75199.558/ 79582.76= 0.9449
F-value (BBB)= 75199.558/ 44.727= 1681.30
Q. the test statistic for the slope is missing (replaced with CCC) Find this value
Ans: The test statistic for the slope (CCC)=90.78/2.21= 41.0769
Which null hypothesis is the test statistic for question above
Ans: The null hypothesis of the test statistic for question above is that the slope value is equal to zero.
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