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 30 years. Is the result within 5 years of the actual Best Actor winner, whose age was 40 years? Best Actress Best Actor 56 29 32 30 39 40 64 31 31 44 28 65 22 44 43 47 52 50 62 50 41 54 43 35 Find the equation of the regression line. (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.) years old The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 30 years is (Round to the nearest whole number as needed.) Is the result within 5 years of the actual Best Actor winner, whose age was 40 years? the actual winner's age the predicted age is

Answer 1

Solution: Given that
x : 29,32,30,64,31,31,44,28,65,22,44,56
y : 43,39,40,47,52,50,62,50,41,54,43,35

=> The equation of the regression line is y = 52.2 − 0.148⋅x

=> The best predicted age of the Best Actor winner given that the age of the best Actoress winner that year is 30 years is 48
-> y = 52.2 − (0.148*30) = 47.76

=> The best predicted value is not at all close to the actual value.