Find the equation of the regression line for the given data. Then construct a sc
ID: 3324846 • Letter: F
Question
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. content (in milligrams) for 6 beef hot dogs are shown in the table below. variables has a 170 I I I 70 (b) x 80 calories (d) x-50 calories 120 120 190 (a) x 180 calories (c) x = 130 calories Find the regression equation. (Round to three decimal places as needed.) Choose the correct graph below. B. O c. A. 200 200 200 200Explanation / Answer
calculation procedure for regression
mean of X = X / n = 136.6667
mean of Y = Y / n = 400
(Xi - Mean)^2 = 9133.334
(Yi - Mean)^2 = 37200
(Xi-Mean)*(Yi-Mean) = 17900
b1 = (Xi-Mean)*(Yi-Mean) / (Xi - Mean)^2
= 17900 / 9133.334
= 1.96
bo = Y / n - b1 * X / n
bo = 400 - 1.96*136.6667 = 132.153
value of regression equation is, Y = bo + b1 X
Y'=132.153+1.96* X
a.
when x = 180 calories then
Y'=132.153+1.96* X
Y' = 132.153 +(1.96*180) =484.953
b.
x= 80 calories
Y' = 132.153 +(1.96*80) =288.953
c.
x =130 calories
Y' =132.153 +(1.96*130) =386.953
d.
x= 50 calories
Y' =132.153 +(1.96*50)=230.153
graph shown
option:A
Line of Regression Y on X i.e Y = bo + b1 X X Y (Xi - Mean)^2 (Yi - Mean)^2 (Xi-Mean)*(Yi-Mean) 150 410 177.777 100 133.333 170 460 1111.109 3600 1999.998 120 340 277.779 3600 1000.002 120 370 277.779 900 500.001 70 290 4444.449 12100 7333.337 190 530 2844.441 16900 6933.329