Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 58 years. Is the result within 5 years of the actual Best Actor winner, whose age was 44 years?
Best Actress 27 31 30 64 34 32 46 29 61 22 43 53
Best Actor 41 38 36 46 48 47 57 53 39 53 44 35
1. Find the equation of the regression line.
y = _______ + (_________)x (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.)
2. The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 58 years is ________ years old. (Round to the nearest whole number as needed.)
3. Is the result within 5 years of the actual Best Actor winner, whose age was 44 years?
_(yes or no)________ the predicted age is__________________ the actual winner's age.
Find X⋅Y and X2 as it was done in the table below.
X | Y | X⋅Y | X⋅X |
27 | 41 | 1107 | 729 |
31 | 38 | 1178 | 961 |
30 | 36 | 1080 | 900 |
64 | 46 | 2944 | 4096 |
34 | 48 | 1632 | 1156 |
32 | 47 | 1504 | 1024 |
46 | 57 | 2622 | 2116 |
29 | 53 | 1537 | 841 |
61 | 39 | 2379 | 3721 |
22 | 53 | 1166 | 484 |
43 | 44 | 1892 | 1849 |
53 | 35 | 1855 | 2809 |
( 2 )
y = 48.9 - 0.107 x
Given x = 58
then
y = 48.9 - 0.107 ( 58 )
= 42.694
= 43
The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 58 years is 43 years old
( 3 )
yes the predicted age is more than five years less than the actual winner's age.
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