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 is2929years. Is the result within 5 years of the actual Best Actor​ winner, whose age was4444​years? Best Actress292928613335473060224357 Best Actor443940465246574841554234 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.)The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is29years isnothingyears old.​(Round to the nearest whole number as​ needed.)Is the result within 5 years of the actual Best Actor​ winner, whose age was44​years? ▼ No,Yes,the predicted age is▼ more than 5 years greater thanmore than 5 years less than5 years or less fromthe actual​ winner's age.

Question
Asked Oct 17, 2019
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
2929
years. Is the result within 5 years of the actual Best Actor​ winner, whose age was
4444
​years?
 
Best Actress
29
29
28
61
33
35
47
30
60
22
43
57
 
Best Actor
44
39
40
46
52
46
57
48
41
55
42
34
 
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.)
The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is
29
years is
nothing
years old.
​(Round to the nearest whole number as​ needed.)
Is the result within 5 years of the actual Best Actor​ winner, whose age was
44
​years?
 
 
No,
Yes,
the predicted age is
 
more than 5 years greater than
more than 5 years less than
5 years or less from
the actual​ winner's age.
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Expert Answer

Step 1

Hey, since there is multiple sub part questions posted, we will answer first three subpart questions. If you want any specific subpart question to be answered then please submit that sub part question only or specify the sub part question number in your message.

Step 2

Solution:

The equation of the regression line is obtained below;

From the given information, the predictor variable is best actress and response variable is best actor

In order to obtain the regression line, first perform regression analysis on the data.

The regression analysis is conducted here by using EXCEL. The software procedure is given below:

  • Enter the data.
  • Select Data > Data Analysis > Regression> OK.
  • Enter Input Y Range as $A$1:$A$13.
  • Enter Input X Range as $B$1:$B$13.
  • Click OK.

The output using EXCEL is as follows:

y =50.98437–0.14306Best Actress

SUMMARY OUTPUT
Regression Statistics
Multiple F 0.287967
R Square 0.082925
AdjustedI -0.00878
Standard 6.843388
Observati
12
ANOVA
F gnificance F
df
1 42.34703 42.34703 0.904233 0.364066
SS
MS
Regressio
Residual
10 468.3196 46.83196
11 510.6667
Total
Coefficientandard Err tStat
P-value Lower 95%Jpper 95%ower 95.09 pper 95.0%
Intercept 50.98437 6.26251 8.141204 1.01E-05 37.03063 64.93811 37.03063 64.93811
Best Actre -0.14306 0.15045 -0.95091 0.364066 -047829 0.192158 -0.47829 0.192158
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SUMMARY OUTPUT Regression Statistics Multiple F 0.287967 R Square 0.082925 AdjustedI -0.00878 Standard 6.843388 Observati 12 ANOVA F gnificance F df 1 42.34703 42.34703 0.904233 0.364066 SS MS Regressio Residual 10 468.3196 46.83196 11 510.6667 Total Coefficientandard Err tStat P-value Lower 95%Jpper 95%ower 95.09 pper 95.0% Intercept 50.98437 6.26251 8.141204 1.01E-05 37.03063 64.93811 37.03063 64.93811 Best Actre -0.14306 0.15045 -0.95091 0.364066 -047829 0.192158 -0.47829 0.192158

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Step 3

The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 29 years is obtained below:

The best predicted age of the Best Actor winner given that the age of the ...

y50.98437-0.14306Best Actress
-50.98437-0.14306 ( 29)
-50.98437-4.14874
= 46.83563
47
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y50.98437-0.14306Best Actress -50.98437-0.14306 ( 29) -50.98437-4.14874 = 46.83563 47

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