SOLUTION: Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 4 7 6 10 13 Develop the estimated regression equation by computing the values of b0 and b1 Use the es

Algebra ->  Probability-and-statistics -> SOLUTION: Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 4 7 6 10 13 Develop the estimated regression equation by computing the values of b0 and b1 Use the es      Log On


   

Question 1205332: Given are five observations for two variables, x and y.
xi
1 2 3 4 5
yi
4 7 6 10 13
Develop the estimated regression equation by computing the values of b0 and b1
Use the estimated regression equation to predict the value of y when x = 4.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
xi
1+2+3+4+5
yi
4+7+6+10+13

Sum of x+ is 15
Sum of y is 40
Mean of x is mu%28x%29=+3
Mean of y is mu%28y%29=+8
Sum of squares of x (SSX) is 10
Sum of products (SP) = 21
Regression Equation:+y=+bx+%2B+a
b+=+%28SP%29%2F%28SSX%29+=+21%2F10+=+2.1
a+=mu%28y%29+-+b%28mu%28x%29%29+=+8+-+%282.1%2A3%29+=+1.7
For your data, the regression equation for y is:
y=+2.1x+%2B+1.7

predict the value of y when x+=+4:
y=+2.1%2A4+%2B+1.7
y=+10.1