Workforce Education and Development, Penn State University

1. DATA ANALYSIS
27 SEPTEMBER 2016
Fitting a straight line through a swarm of bivariate data

2. Y = a + bx

3. Y
X
(x, y)
e
a y = a + bx + e
b = y / x
Y =  + X

4.  Is there no relationship betweenY andX in
the population?
• H0: yx = 0
 Is the slope of the line = 0 in the population?
• H0:  = 0

5.  Null hypothesis is H0: yx = 0
 Alternate hypothesis is H1: yx ≠ 0
 a = .05 Y =  + X

6.  Null hypothesis is H0:  = 0
 Alternate hypothesis is H1:  ≠ 0
 a = .05 Y =  + X

7. Rscript
Console

8. Rscript
Console
a b

9. Rscript
Console

10. Rscript
Console

11. Rscript
Console

12. Rscript
Console

13. Rscript
Plot

14. DATA ANALYSIS
27 SEPTEMBER 2016