# 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**

- 16.123
- 13.302
- 14.734
- 13.111
- 9.206
- 10.577

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