The table presents the highway gasoline mileage performance and engine displacement for DaimlerChrysler vehicles for model year 2005 (U.S. Environmental protection Agency). Engine Displacement (in³) 215 MPG (highway) 201 196 226 226 348 226 348 148 226 122 215 215 148 500 348 165 148 148 500 148 30.8 32.5 35.4 28.1 24.4 24.1 28.5 24.2 32.8 28.0 41.3 30.0 28.2 34.1 18.7 20.3 35.1 37.9 33.8 25.9 26.4 (a) Find a 95% confidence interval for the slope. Round your answers to three decimal places (e.g. 98.765). -0.056 < B₁ ≤ -0.024 (b) Find a 95% confidence interval for the intercept. Round your answers to two decimal places (e.g. 98.76). 34.96 < ßo ≤ 43.35 (c) Find a 95% confidence interval for the mean highway gasoline mileage when the engine displacement is x = 134 in³. Round I your answers to one decimal place (e.g. 98.7). ! MY|x=134 i (d) Construct a 95% prediction interval on highway gasoline mileage when the engine displacement is x = 134 in³. Round your answers to one decimal place (e.g. 98.7). i ! ≤ yo≤ i

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The table presents the highway gasoline mileage performance and engine displacement for DaimlerChrysler vehicles for model year 2005 (U.S. Environmental protection Agency).
Engine Displacement (in³) 215
MPG (highway)
201 196 226
226 348
226 348 148 226 122 215 215 148 500 348 165 148 148 500 148
30.8 32.5 35.4 28.1 24.4 24.1
28.5 24.2 32.8 28.0 41.3 30.0 28.2 34.1
18.7 20.3 35.1 37.9 33.8 25.9 26.4
(a) Find a 95% confidence interval for the slope.
Round your answers to three decimal places (e.g. 98.765).
-0.056
< B₁ ≤
-0.024
(b) Find a 95% confidence interval for the intercept.
Round your answers to two decimal places (e.g. 98.76).
34.96
< ßo ≤
43.35
(c) Find a 95% confidence interval for the mean highway gasoline mileage when the engine displacement is x = 134 in³.
Round
I your answers to one decimal place (e.g. 98.7).
!
MY|x=134
i
(d) Construct a 95% prediction interval on highway gasoline mileage when the engine displacement is x = 134 in³.
Round your answers to one decimal place (e.g. 98.7).
i
!
≤ yo≤ i
Transcribed Image Text:The table presents the highway gasoline mileage performance and engine displacement for DaimlerChrysler vehicles for model year 2005 (U.S. Environmental protection Agency). Engine Displacement (in³) 215 MPG (highway) 201 196 226 226 348 226 348 148 226 122 215 215 148 500 348 165 148 148 500 148 30.8 32.5 35.4 28.1 24.4 24.1 28.5 24.2 32.8 28.0 41.3 30.0 28.2 34.1 18.7 20.3 35.1 37.9 33.8 25.9 26.4 (a) Find a 95% confidence interval for the slope. Round your answers to three decimal places (e.g. 98.765). -0.056 < B₁ ≤ -0.024 (b) Find a 95% confidence interval for the intercept. Round your answers to two decimal places (e.g. 98.76). 34.96 < ßo ≤ 43.35 (c) Find a 95% confidence interval for the mean highway gasoline mileage when the engine displacement is x = 134 in³. Round I your answers to one decimal place (e.g. 98.7). ! MY|x=134 i (d) Construct a 95% prediction interval on highway gasoline mileage when the engine displacement is x = 134 in³. Round your answers to one decimal place (e.g. 98.7). i ! ≤ yo≤ i
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