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
- 14.734
- 13.111
- 16.123
- 13.302
- 9.206
- 10.577
About the Math Tutor - Dr Loo
I am a PhD holder with 9 years of teaching experience at secondary school and university. My expertizes are mathematics, statistics, econometrics, finance and machine learning.
Currently I do provide consultation and private tuition in Singapore. For those who are looking for math tutor in Singapore or statistics tutor in Singapore, please feel free to contact me at +65-85483705 (SMS/Whatsapp/Telegram).
Some of the math tuition in Singapore I provide includes O-level math tuition and also JC Math Tuition (H1 Math Tuition & H2 Math Tuition). On the other hand, my statistics tuition in Singapore mostly focus on pre-university level until postgraduate level. For those who prefer online tutoring service, the online O-level math tuition and online JC math tuition are also available.
For those who are looking for math tution in Singapore
Need help with this topic? I do provide mathematics home tuition in Singapore for O-level math and also JC H2 math. In addition, online math tutoring is available as well. Feel free to contact me if you would like to know further.
