(a) Test for significance of regression using a = 0.05.(b) Estimate to 3 decimal places the standard errors of the intercept and slope.se(Bo)iseßi(c) Test the hypothesis Ho: B10.05 versus H1: B, < - 0.05 using a = 0.05.(d) Test the hypothesis Ho: Bo = 0versus H: Bo + Ousing a = 0.05. The following table presents the highway gasoline mileage performance (y) and engine displacement (x) for Damler-Chrysler vehiclesfor model year 2005 (source: U.S. Environmental Protection Agency).Engine Displacement MPG (highway)Carline300C/SRT-821530.8CARAVAN 2WD20132.5CROSSFIRE ROADSTER19635.4DAKOTA PICKUP 2WD22628.1DAKOTA PICKUP 4WD22624.4DURANGO 2WD34824.1GRAND CHEROKEE 2WD22628.5GRAND CHEROKEE 4WD34824.2LIBERTY/CHEROKEE 2WD 14832.8LIBERTY/CHEROKEE 4WD 22628NEON/SRT-4/SX 2.012241.3PACIFICA 2WD21530PACIFICA AWD21528.2PT CRUISER14834.1RAM 1500 PICKUP 2WD50018.7RAM 1500 PICKUP 4WD34820.3SEBRING 4-DR16535.1STRATUS 4-DR14837.9TOWN & COUNTRY 2WD14833.8VIPER CONVERTIBLE50025.9WRANGLER/TJ 4WD14826.4

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-0.799 b=23.923 p²=0.695556 r=-0.834 Use this to predict the number of situps a person who watches 1 hours of TV can do (to one decimal place)
(a) Find the coefficient of determination and interpret the result. How can the coefficient of determination be interpreted? (b) Find the standard error of estimate se and interpret the result. How can the standard error of estimate be interpreted?
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The flow rate in a device used for air quality measurement depends on the pressure drop x (inches of water) across the device's filter. Suppose that for x values between 5 and 20, these two variables are related according to the simple linear regression model with true regression line y = -0.11 + 0.097x. (a.1) What is the true average flow rate for a pressure drop of 10 in.?(a.2) A drop of 15 in.?(b) What is the true average change in flow rate associated with a 1 inch increase in pressure drop?(c) What is the average change in flow rate when pressure drop decreases by 5 in.?
A researcher records age in years (x) and systolic blood pressure (y) for volunteers. They perform a regression analysis was performed, and a portion of the computer output is as follows: ŷ = 4.5+ 14.4x Coefficients (Intercept) x Estimate 4.5 Ho: B₁ = 0 H₁: B₁ > 0 Ho: B₁ = 0 Ha: B₁ <0 14.4 Ho: B₁ = 0 Ha: B₁ #0 Std. Error Test statistic 2.9 4.7 1.55 3.06 P-value Specify the null and the alternative hypotheses that you would use in order to test whether a linear relationship exists between x and y. 0.07 0
A regression analysis was performed to determine if there is a relationship between hours of TV watched per day (x) and number of sit ups a person can do (y). The results of the regression were: y=ax+ba=-1.114b=38.796r2=0.815409r=-0.903 Use this to predict the number of sit ups a person who watches 7 hours of TV can do, and please round your answer to a whole number.
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The following table presents the highway gasoline mileage performance (y) and engine displacement (x) for Damler-Chrysler vehicles for model year 2005 (source: U.S. Environmental Protection Agency). Engine Displacement MPG (highway) Carline 300C/SRT-8 215 30.8 CARAVAN 2WD 201 32.5 CROSSFIRE ROADSTER 196 35.4 DAKOTA PICKUP 2WD 226 28.1 DAKOTA PICKUP 4WD 226 24.4 DURANGO 2WD 348 24.1 GRAND CHEROKEE 2WD 226 28.5 GRAND CHEROKEE 4WD 348 24.2 LIBERTY/CHEROKEE 2WD 148 32.8 LIBERTY/CHEROKEE 4WD 226 28 NEON/SRT-4/SX 2.O 122 41.3 PACIFICA 2WD 215 30 PACIFICA AWD 215 28.2 PT CRUISER 148 34.1 RAM 1500 PICKUP 2WD 500 18.7 RAM 1500 PICKUP 4WD 348 20.3 SEBRING 4-DR 165 35.1 STRATUS 4-DR 148 37.9 TOWN & COUNTRY 2WD 148 33.8 VIPER CONVERTIBLE 500 25.9 WRANGLER/TJ 4WD 148 26.4
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: ý=ax+b a=-0.873 b=26.236 r2=0.527076 r=-0.726 Use this to predict the number of situps a person who watches 11 hours of TV can do (to one decimal place)
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were:y=ax+b a=-1.34 b=36.954 r2=0.966289 r=-0.983 Use this to predict the number of situps a person who watches 5 hours of TV can do (to one decimal place)
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-0.666 b=36.053 r2=0.552049 r=-0.743 Use this to predict the number of situps a person who watches 4.5 hours of TV can do (to one decimal place)
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were:y=ax+b a=-0.667 b=26.552 r2=0.677329 r=-0.823 Use this to predict the number of situps a person who watches 12 hours of TV can do (to one decimal place)

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(a) Test for significance of regression using a = 0.05. (b) Estimate to 3 decimal places the standard errors of the intercept and slope. se(o): sei (c) Test the hypothesis Ho: B1 - 0.05 versus H1: Bi < - 0.05 using a = 0.05. %3D %3D