Question

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 33 years. is the result within 5 years of the actual best actor winner, whose age was 48 years? use a significance level of 0.05.
best actress: 29, 30, 29, 60, 33, 35, 43, 29, 64, 21, 44, 57
best actor: 45, 35, 39, 45, 48, 48, 62, 50, 37, 58, 45, 31
find the equation of the regression line.
$hat{y} = 55.0 + (-0.251)x$
(round the y-intercept to one decimal place as needed. round the slope to three decimal places as needed.)
the best predicted age of the best actor winner given that the age of the best actress winner that year is 33 years is 45 years old.
(round to the nearest whole number as needed.)
is the result within 5 years of the actual best actor winner, whose age was 48 years?
dropdown the predicted age is dropdown the actual winner’s age.

Explanation:

Step1: Calculate the difference

Find the absolute difference between the predicted age (45) and the actual age (48). The formula for the difference is $|45 - 48|$.
$|45 - 48| = 3$

Step2: Compare with 5

Check if the difference (3) is less than or equal to 5. Since $3 \leq 5$, the predicted age is within 5 years of the actual age.

Answer:

The predicted age is within 5 years of the actual winner’s age. (For the dropdowns, the first would be "Yes" (or similar affirmative option) and the second would be "within 5 years of" (or similar to indicate the relationship). But based on the calculation, the key is that the difference is 3, which is within 5, so the answer to the "Is the result within 5 years..." is yes, and the predicted age is within 5 years of the actual winner’s age.)