Question

The following sample observations were randomly selected. (Round intermediate calculations and final answers to 2 decimal places.)

x	4	5	4	6	9
y	4	6	3	7	7

a.The regression equation is ŷ = .............................. +................................x

b.When X is 8 this gives ŷ =...................................

Answer 1

We need to find the regression equation for the data. To do that, we need the squares and cross products of individual x and y's and we form the table below to do that.

	4	4	16	16	16
	5	6	25	36	30
	4	3	16	9	12
	6	7	36	49	42
	9	7	81	49	63
Total	28	27	174	159	163

Here we have n=5,

The mean of x

The mean of y,

Calculate

  

  

  

  

  

The regression coefficient is given by

The intercept is estimated by

  

  

a) The regression equation is

b) When X is 8 this gives