Question

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

x	3	5	3	6	7
y	3	6	5	7	7

A. The regression equation is Y= ____ + ____X

B When X is 6 this gives y=______

Answer 1

a)  

	X	Y	X * Y	X^2
	3	3	9	9
	5	6	30	25
	3	5	15	9
	6	7	42	36
	7	7	49	49
Total	24	28	145	128

Equation of regression line is Ŷ = a + bX

b = ( 5 * 145 - 24 * 28 ) / ( 5 * 128 - 24² )

b = 0.83

a =( 28 - ( 0.83 * 24 ) ) / 5

a = 1.62

Equation of regression line

= 1.62 + 0.83 X

b)

When X = 6

y = 1.62 + 0.83 * 6

y = 6.60