Question

Part b) Th best predicted age of the best actor winner given that the age of the best actress winner is 29 years is ___ years old.

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 29 years. Is the result within 5 years of the actual Best Actor winner, whose age was 52 years? Best Actress Best Actor 27 44 29 38 29 37 59 44 30 51 31 46 43 29 62 52 64 37 22 54 43 44 55 34 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.)

Answer 1

X	Y	XY	X^2	Y^2
27	44	1188	729	1936
29	38	1102	841	1444
29	37	1073	841	1369
59	44	2596	3481	1936
30	51	1530	900	2601
31	46	1426	961	2116
43	62	2666	1849	3844
29	52	1508	841	2704
64	37	2368	4096	1369
22	54	1188	484	2916
43	44	1892	1849	1936
55	34	1870	3025	1156

PREDICTED Y= a+b X . SDy a = Y - bX

From the above table and formula we get the value are as:

n	12
sum(XY)	20407.00
sum(X)	461.00
sum(Y)	543.00
sum(X^2)	19897.00
sum(Y^2)	25327.00

b	-0.207
a	53.2

ycap = a +bx

ycap = 53.2 - 0.207x

when x = 29

Predicted value = 53.2 - 0.207 * 29

= 47.20

= approx 47 years old