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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

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

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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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