Part b) Th best predicted age of the best actor winner given that the age of the best actress winner is 29 years is ___ years old.
X | Y | XY | X^2 | Y^2 |
27 | 44 | 1188 | 729 | 1936 |
29 | 38 | 1102 | 841 | 1444 |
29 | 37 | 1073 | 841 | 1369 |
59 | 44 | 2596 | 3481 | 1936 |
30 | 51 | 1530 | 900 | 2601 |
31 | 46 | 1426 | 961 | 2116 |
43 | 62 | 2666 | 1849 | 3844 |
29 | 52 | 1508 | 841 | 2704 |
64 | 37 | 2368 | 4096 | 1369 |
22 | 54 | 1188 | 484 | 2916 |
43 | 44 | 1892 | 1849 | 1936 |
55 | 34 | 1870 | 3025 | 1156 |
From the above table and formula we get the value are as:
n | 12 |
sum(XY) | 20407.00 |
sum(X) | 461.00 |
sum(Y) | 543.00 |
sum(X^2) | 19897.00 |
sum(Y^2) | 25327.00 |
b | -0.207 |
a | 53.2 |
ycap = a +bx
ycap = 53.2 - 0.207x
when x = 29
Predicted value = 53.2 - 0.207 * 29
= 47.20
= approx 47 years old
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