06 Dec PREPARED BY: FAR (JULY 2021)
PREPARED BY: FAR (JULY 2021)
UNIVERSITI KUALA LUMPUR MALAYSIAN INSTITUTE OF MARINE ENGINEERING TECHNOLOGY LGB 23103 TEST 2
TEST 2: CORRELATION AND REGRESSION
ANSWER ALL QUESTIONS
1. The marketing manager of a large supermarket chain would like to use shelf space o
predict the sales of pet food. A random sample of 12 equal-sized stores is selected,
with the following results (Table 1).
STORE SHELF SPACE ( X ) (Feet) WEEKLY SALES (Y ) (RM)
1 5 160
2 5 220
3 5 140
4 10 190
5 10 240
6 10 260
7 15 230
8 15 270
9 15 280
10 20 260
11 20 290
12 20 310
Table 1
(a) Construct a scatter diagram.
(3 Marks)
(b) Determine the regression line, y .
(8 Marks)
(c) Interpret the meaning of slope, b , in this problem.
(2 Marks)
(d) Predict the weekly sales of pet food for stores with 8 feet of shelf space for
pet food.
(2 Marks)
PREPARED BY: FAR (JULY 2021)
UNIVERSITI KUALA LUMPUR MALAYSIAN INSTITUTE OF MARINE ENGINEERING TECHNOLOGY LGB 23103 TEST 2
2. A car dealership owner wishes to determine if there is relationship between the
number of years of experience a salesperson has and the number of cars sold per
month. The data are given here (Table 2).
Year of
experience, x 3 9 2 5 1
No of car sold per
month, y 5 14 12 21 8
Table 2
(a) Construct a scatter diagram.
(3 Marks)
(b) Determine the value of Pearson Product Moment correlation coefficient, r .
(8 Marks)
(c) Testing the significant of r at 05.0= .
(7 Marks)
(d) Calculate the regression line.
(4 Marks)
(e) Plot the regression line in (a).
(2 Marks)
(f) Summarize the result in (d).
(1 Mark)
REGRESSION AND CORRELATION
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