- 20 Marks
QT – May 2017 – L1 – Q7 – Forecasting
Construct a scatter diagram and compute correlation, regression line, and coefficient of determination from given data.
Question
The following data gives how much 10 students of ICAG spend on TroTro to the Institute and food weekly:
| Food (x) | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 | 26 | 28 |
|---|---|---|---|---|---|---|---|---|---|---|
| TroTro (y) | 25 | 24 | 22 | 20 | 19 | 17 | 13 | 12 | 11 | 10 |
Required:
a) Using a graph paper, construct a scatter diagram of the data.
(4 marks)
b) Determine the correlation coefficient.
(4 marks)
c) Calculate the coefficient of determination of the data and interpret its value.
(4 marks)
d) Determine the regression line of y on x, and interpret the coefficient.
(8 marks)
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