Regression Table
The following
is the output if you check the Show Regression Table box in the Two
Quantitative Variables applet, regressing height on foot length.
|
Term |
Coeff |
SE |
t-Ratio |
p-value |
|
Intercept |
38.30 |
6.90 |
5.55 |
0.0000 |
|
footlength |
1.03 |
0.24 |
4.29 |
0.0004 |
·
38.30
is the sample intercept (a)
o
You
can ignore the rest of the first row
·
1.03
is the sample slope (b)
o
So
our equation is: predicted height =
38.30 + 1.03 footlength
·
0.24
is the “standard error” (read “standard deviation”) of the sample slope. It
measures the sample to sample variation in the sample slopes.
·
4.29
is the standardized statistic = (observed slope – 0)/std
dev of slope
4.29 = (1.03 – 0)/.24
·
0.0004
is the two-sided p-value [H0:
= 0 vs. Ha: 
0]