A research was carried out to study the relationship between the inflation rate (%) and unemployment rate (%). The data were summarized as in the table below. 7. Inflation Rate 0.7 1.5 2.4 2.8 3.5 3.5 4.5 6.5 Unemployment Rate 6.5 6.8 5.5 4.5 9.0 9.5 10.5 4.0 (i) Identify the dependent and independent variables involved in this study. (ii) Calculate the product moment coefficient of correlation for the data and comment on its value. (iii) Calculation the coefficient of determination and give a comment on its value.

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The manager of catering company is studying the relationship between the number of
students' boarding schools and the winning bids of catering prices per student.
8.
School
Number of Students
Winning Rid (RM)
1
300
12.00
350
11.80
3
400
11.50
450
11.50
500
11.00
550
10.80
600
10.50
8.
650
10.50
700
10.30
10
750
10.20
11
800
9.80
12
850
9.60
(i)
(ii)
Identify the dependent and independent variables involved in this study.
Calculate the Pearson's product moment correlation coefficient to determine
whether there is a linear relationship between the number of students and the
winning bid.
(iii) Determine the coefficient of determination and give a comment about its value.
(iv)
Construct the equation of the regression line of the winning bid against the
number of students using the least square method
Estimate the winning bid if the number of student is 780.
(v)
Transcribed Image Text:The manager of catering company is studying the relationship between the number of students' boarding schools and the winning bids of catering prices per student. 8. School Number of Students Winning Rid (RM) 1 300 12.00 350 11.80 3 400 11.50 450 11.50 500 11.00 550 10.80 600 10.50 8. 650 10.50 700 10.30 10 750 10.20 11 800 9.80 12 850 9.60 (i) (ii) Identify the dependent and independent variables involved in this study. Calculate the Pearson's product moment correlation coefficient to determine whether there is a linear relationship between the number of students and the winning bid. (iii) Determine the coefficient of determination and give a comment about its value. (iv) Construct the equation of the regression line of the winning bid against the number of students using the least square method Estimate the winning bid if the number of student is 780. (v)
A research was carried out to study the relationship between the inflation rate (%) and
unemployment rate (%). The data were summarized as in the table below.
7.
Inflation Rate
0.7
1.5
2.4
2.8
3.5
3.5
4.5
6.5
Unemployment Rate
10.5
4.5
9.0
9.5
6.5
6.8
4.0
5.5
(i)
(ii) Calculate the product moment coefficient of correlation for the data and comment
Identify the dependent and independent variables involved in this study.
on its value.
(iii) Calculation the coefficient of determination and give a comment on its value.
TUTORIAL CHAPTER 6 (PART A & PART B): LINEAR REGRESSION AND
CORRELATION
(iv) Construct a least-squares regression equation of the two variables.
(v)
Estimate the inflation rate for an unemployment rate of 7.0%.
Transcribed Image Text:A research was carried out to study the relationship between the inflation rate (%) and unemployment rate (%). The data were summarized as in the table below. 7. Inflation Rate 0.7 1.5 2.4 2.8 3.5 3.5 4.5 6.5 Unemployment Rate 10.5 4.5 9.0 9.5 6.5 6.8 4.0 5.5 (i) (ii) Calculate the product moment coefficient of correlation for the data and comment Identify the dependent and independent variables involved in this study. on its value. (iii) Calculation the coefficient of determination and give a comment on its value. TUTORIAL CHAPTER 6 (PART A & PART B): LINEAR REGRESSION AND CORRELATION (iv) Construct a least-squares regression equation of the two variables. (v) Estimate the inflation rate for an unemployment rate of 7.0%.
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