An entrepreneur in Vubwi is contemplating on investing in
farming in the 2018 farming
season. It is argued that maize yield (number of 50kg bags) depends
on the quantity of
fertilizer (number of bags) used. To understand the relationship
between the two
variables, she collects the following data from 10 farmers in
relation to the previous
farming season:
Farmer | Yield | Fertilizer |
1 | 400 | 6 |
2 | 440 | 10 |
3 | 460 | 12 |
4 | 480 | 14 |
5 | 520 | 16 |
6 | 580 | 18 |
7 | 600 | 22 |
8 | 680 | 24 |
9 | 740 | 26 |
10 | 800 | 32 |
A. Determine the regression line for this data. [6 Marks]
B. What is the correlation coefficient? [3 Marks]
C. Test the claim of no linear association between the two
variables at 5% level of
significance. [7 Marks]
D. What is the coefficient of determination? [2 Marks]
E. What does the coefficient of determination tell you? [2 Maks
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