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 29 years. Is the result within 5 years of the actual Best Actor​ winner, whose age was 43 ​years?

Best Actress	29	29	28	62	33	33	47	29	61	22	45	51
Best Actor	43	36	37	46	53	46	60	52	39	55	43	31

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.)

Answer 1

Let x = Best Actress , y = Best Actor

Find X⋅Y and X² as it was done in the table below.

X	Y	X⋅Y	X⋅X
29	43	1247	841
29	36	1044	841
28	37	1036	784
62	46	2852	3844
33	53	1749	1089
33	46	1518	1089
47	60	2820	2209
29	52	1508	841
61	39	2379	3721
22	55	1210	484
45	43	1935	2025
51	31	1581	2601

Find the sum of every column:

∑X=469 , ∑Y=541 , ∑X⋅Y=20879 , ∑X²=20369

constant = 50.2

coefficient = -0.130

so equation of the regression line. is

y = 50.2 - 0.130 x