Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction worthwhile? a. Find the equation of the regression line.y=(Round the y-intercept to three decimal places as needed. Round the slope to four decimal places as needed.) b. The best predicted crash fatality rate for a year in which there are425 metric tons of lemon imports is fatalities per 100,000 population.(Round to one decimal place as needed.) c. Is the prediction worthwhile? Lemon ImportsCrash Fatality Rate235 2633504985461615.915.515.515

Solution-: (a) Find the equation of the regression line (b) The best predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports is fatalities per 100,000 population. (c) Is the prediction worthwhile? (a) Find the equation of the regression line For Regression line Y on X: We prepare the following table in MS-Excel: X Y X^2 Y^2 X*Y 235 16 55225 256 3760 263 15.9 69169 252.81 4181.7 350 15.5 122500 240.25 5425 498 15.5 248004 240.25 7719 546 15 298116 225 8190 Total 1892 77.9 793014 1214.31 29275.7 From this table we get, n=5,∑X=1892,∑Y=77.9,∑X2=793014,∑Y2=1214.31,∑XY=29275.7 b=n*∑XY-(∑X*∑Y)n*∑X2-(∑X)2 =5*29275.7-(1892*77.9)5*793014-(1892)2 =-0.0026 a=∑Y-(b*∑X)n=77.9-((-0.0026)*1892)5=16.570 The equation of regression line is, Y^=a+b*X=16.570-0.0026*X (b) The best predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports is fatalities per 100,000 population. When X=425 Y^=16.570-0.0026*X=15.570-0.0026*425=14.465=14.5(c) The prediction is worthwhile.

Answered: Find the regression equation, letting…

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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Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction worthwhile?

a. Find the equation of the regression line.

(Round the y-intercept to three decimal places as needed. Round the slope to four decimal places as needed.)

b. The best predicted crash fatality rate for a year in which there are

425 metric tons of lemon imports is

fatalities per 100,000 population.

(Round to one decimal place as needed.)

c. Is the prediction worthwhile?