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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.

Answer 1

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.