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 Bes

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 37 years?

Best Actress 27 32 30 60 32 34 47
Best Actor 41 35 37 43 53 49 57

Find the equation of the regression line

Answer 1

The equation of the regression line is y = 0.2x + 37.5

Finding the equation of the regression line

From the question, we have the following parameters that can be used in our computation:

Best Actress 27 32 30 60 32 34 47

Best Actor 41 35 37 43 53 49 57

Using a graphing tool, we have the following summary

• Sum of X = 262
• Sum of Y = 315
• Mean X = 37.4286
• Mean Y = 45
• Sum of squares (SSX) = 835.7143
• Sum of products (SP) = 168

The regression equation is represented as

y = bx + a

Where

b = SP/SSX = 168/835.71 = 0.20103

a = MY - bMX = 45 - (0.2*37.43) = 37.4759

So, we have

y = 0.2x + 37.5

Hence, the equation is y = 0.2x + 37.5