Question

1. Below are some data examining whether reading the textbook for this course is related to class enjoyment.  

   Time Reading Textbook	1	2	3	4	5	6	1	2	3	5
   Class Enjoyment	20	24	35	46	67	80	12	34	34	78

   Note: Text Reading Time: 1 = does not read – 6 = only book I have ever read.  Class Enjoyment: 1-100 scale.

   Calculate the slope

   		14.50
   		13.36
   		19.00
   		12.43

2. Calculate the Y-intercept.

   		0.25
   		0.46
   		0.50
   		1.00

3. What is your regression model?

   		Y=0.50+13.36X
   		Y=0.25+13.36X
   		Y=0.45+14.00X
   		Y=1.00+13.36X

4. What is your R² value?

   		R2 = 0.34
   		R2 = 0.45
   		R2 =0.93
   		R2 =0.31

Answer 1

from above:

the slope =13.36

the Y-intercept =0.25

regression model :Y =0.25+13.36X

SST=Syy=		5,256.0000
SSE =Syy-(Sxy)2/Sxx=		349.3333
SSR =(Sxy)2/Sxx =		4,906.6667

Coeffficient of determination R^2 =SSR/SST=

0.93