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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

 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 2

 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 3

 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 4

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

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