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Question: Find the regression equation, letting the first variable be the predictor (x) variable. Using t...
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 27 years. Is the result within 5 years of the actual Best Actor winner, whose age was 45 years?
Best Actress: 27, 31, 29, 59, 34, 32, 44, 28, 65, 21, 45, 54
Best Actor: 45, 39, 40, 43, 52, 50, 59, 52, 41, 56, 44, 33
a. Find the equation of the regression line.
b. The best predicted age of the best actor winner given that the age of the best actress winner that is 27 years is ___years old.
Regression Analysis | |||||||
r² | 0.182 | n | 12 | ||||
r | -0.426 | k | 1 | ||||
Std. Error | 7.292 | Dep. Var. | y | ||||
ANOVA table | |||||||
Source | SS | df | MS | F | p-value | ||
Regression | 117.9731 | 1 | 117.9731 | 2.22 | .1672 | ||
Residual | 531.6935 | 10 | 53.1694 | ||||
Total | 649.6667 | 11 | |||||
Regression output | confidence interval | ||||||
variables | coefficients | std. error | t (df=10) | p-value | 95% lower | 95% upper | std. coeff. |
Intercept | 55.2400 | 0.000 | |||||
x | -0.2322 | 0.1559 | -1.490 | .1672 | -0.5794 | 0.1151 | -0.426 |
Predicted values for: y | |||||||
95% Confidence Interval | 95% Prediction Interval | ||||||
x | Predicted | lower | upper | lower | upper | Leverage | |
27 | 48.972 | 42.679 | 55.265 | 31.549 | 66.395 | 0.150 |
(a) The regression equation is y = 55.24 - 0.2322x
(b) The best predicted age is 48.97 years. Yes, this is within 5 years of the actual age.