Relationships between height and weight – Model Summary Table Looking at the Mod
ID: 3226092 • Letter: R
Question
Relationships between height and weight – Model Summary Table
Looking at the Model Summary table:
What is the value of R?
What does this tell us about the association between height and weight?
What is the value of R Square
What does this tell us about the model including height as a predictor of weight?
Model Summary
Model
R
R Square
Adjusted R Square
Std. Error of the Estimate
1
.546a
.298
.297
9.234
a. Predictors: (Constant), weight in kgs
Relationship between height and weight – Anova Table
Looking at the Anova table:
What is the value of the F-Ratio?
What are your conclusions about the model based on this table?
ANOVAa
Model
Sum of Squares
df
Mean Square
F
Sig.
1
Regression
26459.777
1
26459.777
310.339
.000b
Residual
62240.468
730
85.261
Total
88700.245
731
a. Dependent Variable: height in cms
b. Predictors: (Constant), weight in kgs
Looking at the Coefficients Table:
What is the Beta value for height?
How can we interpret this value with respect to prediction of weight?
Coefficientsa
Model
Unstandardized Coefficients
Standardized Coefficients
t
Sig.
B
Std. Error
Beta
1
(Constant)
133.728
1.896
70.538
.000
weight in kgs
.486
.028
.546
17.616
.000
a. Dependent Variable: height in cms
Looking at the Model Summary table:
What is the value of R?
What does this tell us about the association between height and weight?
What is the value of R Square
What does this tell us about the model including height as a predictor of weight?
Explanation / Answer
Answers-
Value of R is .546 . It suggests that there is moderate poistive relationship between weight and height.
Value of R2 is .298 . It suggests that only 29.8% of the variations in height variable is explianed by the weight variable.
Value of F statistic is 310.34 and crtical value is given by F1,730,.05 = 3.854 ( from F tables )
As F statistic is greater than critical value then we do reject the null hypothesis- Model is not significant.
Thus model is significant.
Value of beta = .486.
It means if weight is increased ( decreased) by 1 unit then weight gets increased ( decreased ) by .486 units
TY!