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Intercept Calculation – Simple Linear Regression Analysis

1. The equation of regression line

An equation of a dependent variable predicted by an independent variable consists of two parameters, a regression slope and intercept. This concept is likely to be introduce during the JC H2 mathematics class.

2. To determine the regression slope, the following formula can be used:

Regression Slope = Covariance(x,y)/Variance(x)

 

3. On the other hand, the intercept of the regression line is defined as:

Intercept = (Mean of y) – (Regression Slope)*(Mean of x)

 

Exercise

Calcuate the intercept of the following regression lines.

 

Question 1

 

Y3 X3
12 14
10 14
14 11
13 15
15 10
10 14
14 11
11 12
10 12
13 10
11 13
12 12
15 14
12 11
13 10
14 13
14 12
15 13
15 13
13 11
11 13

Question 2

 

Y4 X4
14 13
11 11
15 15
13 12
10 12
13 15
15 12
13 12
14 15
10 15
15 12
10 12
11 14
15 11
15 10
12 12
10 11
13 12
12 15
15 14
15 12

Question 3

 

Y1 X1
12 13
13 12
12 15
12 13
11 10
13 13
12 12
13 15
12 14
11 10
13 11
12 11
11 14
10 14
11 10
14 10
13 14
15 11
15 10
14 10
12 11

 

Question 4

 

Y2 X2
12 13
11 10
12 12
10 15
14 14
11 11
14 10
11 10
13 15
11 11
13 12
12 11
14 10
13 13
12 12
13 10
12 15
11 14
10 12
12 13
13 11

 

Question 5

 

Y5 X5
12 11
10 15
13 11
14 14
11 11
15 15
13 15
14 15
12 12
12 15
11 13
10 10
15 13
15 13
13 11
11 13
13 13
14 10
12 13
14 13
10 11

 

Question 6

 

Y6 X6
11 11
10 13
10 12
10 12
11 15
10 10
15 14
13 12
13 15
13 12
12 15
14 15
14 14
14 15
12 14
13 11
13 14
10 15
12 13
15 11
14 11

 

Answer

  1. 16.123
  2. 13.302
  3. 14.734
  4. 13.111
  5. 9.206
  6. 10.577

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