Question

Find the regression​ equation, letting the first variable be the predictor​ (x) variable. Using the listed​...

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.

Homework Answers

Answer #1

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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