Question

the second picture is the chart i tried to make...the 'o' is supposed the be alpha

The following sample observations were randomly selected. (Round intermediate calculations and final answers to 2 decimal places.) x Y 4 4 5 6 3 5 2 7 10 2 Click here for the Excel Data File a. The regression equation is g = b. When X is 9 this gives -

Answer 1

a) Here we have to estimate the regression equation

y^ = bo + b1 * X

Where b1 = n*$\large \sum$X*y - ( $\large \sum$ X* $\large \sum$ y)/[*$\large \sum$X² - ( $\large \sum$ X)²]

b1 = [5 * 95 - 24*24]/[5*154 - 24²]

b1 = -0.52

bo = ybar - b1*xbar = 4.8 - (-0.52*4.8)

bo = 7.30

So regression equation is

y^ = 7.30 - 0.52 * X

b) for X = 9

y = 7.30 - 0.52*9

y^ = 2.62