Prediction
REGRESSION LINE

Example:
X:
Y:
1
4
2
24
4
8
5
32
̂
VARIATION
(X, Y)=(5, 32)
Y=32
unexplained deviation
෡ =25
𝒀
explained deviation
ഥ =17
𝒀
PRACTICE I
X
Y
1
2
4
7
3
5
2
1
5
14
3
7

Please calculate Pearson’s correlation
coefficient.

By using X to predict Y, what is the
linear regression equation?

Use the above equation to calculate
෡) of each X.
the predicted Y (Y

Compare the observed Y’s and the
෡)
predicted Y’s (Y-Y
PRACTICE II
Exam I
Exam II
8
9
9
8
10
6
13
5
13
3
16
2
14
1
Calculate the regression
equation.
 Calculate 𝑆𝑆𝑇 , 𝑆𝑆𝐸 , 𝑆𝑆𝑈 .
 Calculate goodness of fit.
