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
44
years. Is the result within 5 years of the actual Best Actor winner, whose age was
45
years?
Best Actress |
29 |
29 |
30 |
58 |
32 |
32 |
47 |
28 |
60 |
23 |
44 |
53 |
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Best Actor |
43 |
36 |
40 |
44 |
53 |
46 |
57 |
53 |
40 |
58 |
45 |
32 |
Find the equation of the regression line.
ModifyingAbove y with caretyequals=nothingplus+(nothing)x
(Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.)
x | y | xy | x2 | y2 |
29 | 43 | 1247 | 841 | 1849 |
29 | 36 | 1044 | 841 | 1296 |
30 | 40 | 1200 | 900 | 1600 |
58 | 44 | 2552 | 3364 | 1936 |
32 | 53 | 1696 | 1024 | 2809 |
32 | 46 | 1472 | 1024 | 2116 |
47 | 57 | 2679 | 2209 | 3249 |
28 | 53 | 1484 | 784 | 2809 |
60 | 40 | 2400 | 3600 | 1600 |
23 | 58 | 1334 | 529 | 3364 |
44 | 45 | 1980 | 1936 | 2025 |
53 | 32 | 1696 | 2809 | 1024 |
∑Xi=465 | ∑Yi=547 | ∑xiyi=20784 | ∑xi^2=19861 | ∑Yi^2=25677 |
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