The following data was collected on the height (inches) and weight (pounds) of w
ID: 3316368 • Letter: T
Question
The following data was collected on the height (inches) and weight (pounds) of women swimmers.
Provide a regression analysis from the height and weight data.
Summary Output
Regression Statistics
Multiple R = 0.9603
R Square = 0.9223
Adjust R Square = 0.8963
Standard Error = 4.1231
Observations = 5
ANOVA
What is the "y" intercept value of b0 coeefficient of correlation?
What is the slope value b1?
If the height of a swimmer is 63 inches, the expected weight in pounds will be?
Explain in one word why you can make the relationship of the 63 inches to weight as a prediction?
If the height of a swimmer is 70 inches, the expected weight in pounds will be?
Explain in one word why you can make the relationship of the 70 inches to weight as a prediction?
Height Weight 68 132 64 108 62 102 65 115 66 128Explanation / Answer
Line of Regression Y on X i.e Y = bo + b1 X
calculation procedure for regression
mean of X = X / n = 65
mean of Y = Y / n = 117
(Xi - Mean)^2 = 20
(Yi - Mean)^2 = 656
(Xi-Mean)*(Yi-Mean) = 110
b1 = (Xi-Mean)*(Yi-Mean) / (Xi - Mean)^2
= 110 / 20
= 5.5
bo = Y / n - b1 * X / n
bo = 117 - 5.5*65 = -240.5
value of regression equation is, Y = bo + b1 X
Y'=-240.5+5.5* X
calculation procedure for regression
mean of X = X / n = 65
mean of Y = Y / n = 117
(Xi - Mean)^2 = 20
(Yi - Mean)^2 = 656
(Xi-Mean)*(Yi-Mean) = 110
b1 = (Xi-Mean)*(Yi-Mean) / (Xi - Mean)^2
= 110 / 20
= 5.5
bo = Y / n - b1 * X / n
bo = 117 - 5.5*65 = -240.5
value of regression equation is, Y = bo + b1 X
Y'=-240.5+5.5* X
a. bo -240.50
b. b1=slope = 5.5
c. when height = 63, Y'= -240.5+5.5* 63 = 106
d. when height of swimmer is 70 inches, Y' = Y'= -240.5+5.5* 70 = 144.5
X Y (Xi - Mean)^2 (Yi - Mean)^2 (Xi-Mean)*(Yi-Mean) 68 132 9 225 45 64 108 1 81 9 62 102 9 225 45 65 115 0 4 0 66 128 1 121 11Related Questions
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