STA108 WEEK 8
27 NOVEMBER - 3 DECEMBER 2023
Kuliah 1: 30 Mac - 24 May 2026
27 NOVEMBER - 3 DECEMBER 2023
CHAPTER 3: CORRELATION & REGRESSION
Topics:ย
Simple Linear Regression (SLR)
(Prediction & Coefficient of Determination)
SPSS Output for SLR
Video V1W8: Prediction Using Estimated Linear Regression
LEARNING OBJECTIVE 1:
Simple Linear Regression (Prediction)
Students need to know how to make prediction or estimation based on estimated regression equation.
๐๐ผ Watch Video V1W8 above
๐๐ผ Redo Example 4(f) Pg. 90
Video V2W8: Coefficient of Determination
LEARNING OBJECTIVE 2:
Coefficient of Determination (R-Square)
Students need to know how to calculate and interpret the meaning of coefficient of determination, R2.
๐๐ผ Refer Pg. 89 (formula)
๐๐ผ Watch Video V2W8 above
๐๐ผ Redo Example 4(e) Pg. 90
Please do the following exercises for better understanding of this topic:
EXAMPLE 5 (Pg. 91)
Answer:
a) X: Annual income ย ย ย Y: Monthly insurance
b) r = 0.891 (There is a strong positive correlation between annual income and monthly insurance)
c) R2 = 79.39%
d) y = -147.4745 + 6.3074x
e) Slope, b = 6.3074 indicates that for every thousand increase in annual income of a personnel, their monthly insurance premiums will increase by RM6.31.
*In this example, it is not suitable to interpret value a (y-intercept)
f) RM 546.34
EXAMPLE 6 (Pg. 92)
Answer:
a) X: Batch Sizeย ย ย ย Y: Direct labor cost
b) r = 0.9996 (There is a very strong positive correlation between batch size and direct labor cost)
c) y = 18.5295 + 10.1545x
Slope, b = 10.1545 indicates that for additional unit of batch size, direct labor cost will increase by 10 .
d) 983.207
e) R2 = 99.92%
Video V3W8: Drawing Estimated Linear Regression Line
LEARNING OBJECTIVE 3:
Drawing Estimated Linear Regression Line
Students need to know how to draw the regression line on scatter plot.
๐๐ผ Watch Video V3W8 above
๐๐ผ Use scatter plot from Example 2(b), Pg. 86, try draw the regression line on the scatter plot.
๐๐ผ Use scatter plot from Example 3(b), Pg.87, try draw the regression line on the scatter plot.ย
LEARNING OBJECTIVE 4:
SPSS Output for Simple Linear Regression
Students need to know how read SPSS output of simple linear regression.
๐๐ผ Refer Pg. 93 - 95
๐๐ผ Do Example 2 ย Pg. 96
๐๐ผ Do Tutorial Past Year Questionย Pg. 97 - 103