(a)
From the given data, the following Table is calculated:
X | Y | XY | X2 | Y2 |
6 | 8 | 48 | 36 | 64 |
5 | 6 | 30 | 25 | 36 |
7 | 9 | 63 | 49 | 81 |
4 | 7 | 28 | 16 | 49 |
Total = 22 | 30 | 169 | 126 | 230 |
(b)
Test statistic is given by:
= 0.05
ndf= n - 2 = 4 - 2 = 2
From Table, critical values of t = 4.3027
Since the calculated value of t is less than critical value of t, we conclude that the calculated correlation coefficient is not significant to the 95% level.
(c)
From the given data, the following Table is calculated:
X | Y | XY | X2 | Y2 |
6 | 8 | 48 | 36 | 64 |
5 | 6 | 30 | 25 | 36 |
7 | 9 | 63 | 49 | 81 |
4 | 7 | 28 | 16 | 49 |
Total = 22 | 30 | 169 | 126 | 230 |
So,
Least square regression equation is given by:
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