SOLUTION: Use the equation of the regression line to predict y when x =20 x 5 8 6 10 12 9 ----------- ----------- - y 18 20 15 25 30 25 Please help, Ellen

Algebra ->  College  -> Linear Algebra -> SOLUTION: Use the equation of the regression line to predict y when x =20 x 5 8 6 10 12 9 ----------- ----------- - y 18 20 15 25 30 25 Please help, Ellen       Log On


   

Question 150416: Use the equation of the regression line to predict y when x =20
x 5 8 6 10 12 9
-------------------------
y 18 20 15 25 30 25
Please help,
Ellen
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the average x.
x%5Bave%5D=%285%2B8%2B6%2B10%2B12%2B9%29%2F6
x%5Bave%5D=8.33
Find the average y.
y%5Bave%5D=%2818%2B15%2B20%2B25%2B25%2B30%29%2F6
y%5Bave%5D=22.167
For a simple linear regression Y=a%2BbX, use the following formula to find the slope,

b=66.666%2F33.333
b=2
a=y%5Bave%5D-bx%5Bave%5D
a=22.167-2%288.333%29
a=22.167-2%288.333%29
a=5.5

To estimate for x=20
y%2820%29=2%2820%29%2B5.5=45.5