Question

x | 12 10 9 7 8

y | 182 169 155 140 144

Find the regression equation for problem 7 and find a corresponding y value when x = 11. Is this a positive linear correlation or a negative linear correlation? Explain.

Regression Equation:

When ? = 11, ? =_______________

Circle one: Positive correlation or Negative correlation

Explain how you know whether it is a positive or negative correlation:

Answer 1

Find X⋅Y and X² as it was done in the table below.

X	Y	X⋅Y	X⋅X
12	182	2184	144
10	169	1690	100
9	155	1395	81
7	140	980	49
8	144	1152	64

• y = 75.324 + 8.986 x

given x = 11

then

y = 75.324 + 8.986 ( 11 )

= 174.17

• y = 174 .17
• there is  Positive correlation

from the regression equation we say that it is positive correlation