We need to investigate whether age, sex and height are associated with weight be
ID: 3229080 • Letter: W
Question
We need to investigate whether age, sex and height are associated with weight before proceeding with the multivariate regression.
Looking at the Model Summary table:
What is the value of R? 0.039
What does this tell us about the association between weight and age?
What is the value of R Square? 0.002
What does this tell us about the model including age as a predictor of weight?
Relationship between age and weight – Anova Table
Sig. Value from ANOVA table = 0.291
Looking at the ANOVA
What is the value of the F-Ratio? 1.116
What are your conclusions about the model based on this table?
Now repeat the simple regression for sex and weight:
Looking at the Model Summary table:
What is the value of R? 0.496
What does this tell us about the association between weight and sex?
What is the value of R Square? 0.246
What does this tell us about the model including sex as a predictor of weight?
Sig. Value from ANOVA table = 0.000
Looking at the ANOVA
What is the value of the F-Ratio? 239.646
What are your conclusions about the model based on this table?
Looking at the Model Summary table:
What is the value of R? 0.039
What does this tell us about the association between weight and age?
What is the value of R Square? 0.002
What does this tell us about the model including age as a predictor of weight?
Explanation / Answer
From Model Summary table:
1) R value=0.039, it tells that there is 3.9% relation association between variables weight and age
2) R Square = 0.002, it explains only 0.2% variability of response data around mean
3)Siginificant value from anova table = 0.291 and F= 1.116
Comparing siginificant value 0.291 and level of significance 0.05, significant value is greater than leel of significance
Conclusion: we can accept null hypothesis
Simple regression for sex and weight:
1) R value=0.496, it tells that there is 49.6% relation association between variables weight and sex
2) R Square = 0.246, it explains only 24.6% variability of response data around mean
3)Siginificant value from anova table =0.000 and F= 239.646
Comparing siginificant value 0.000 and level of significance 0.05, significant value is lesser than level of significance
Conclusion: we can reject null hypothesis
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