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How to run Simple Linear Regression on SPSS

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- 1. Running Simple Linear Regression on SPSS http://www.palmx.org/drtamil/spss/ sga-ttest-youtube.sav
- 2. ©drtamil@gmail.com 2016 Factors Affecting SGA SGA (Y/N) (Birth weight) Mother’s Nutrition (BMI/Obesity) •Weight •Height Smoking Hypertension
- 3. ©drtamil@gmail.com 2016 Dependent Outcome Birth weight of the babies Small for gestational age i.e. less than 2.7kg for term babies – Y/N By Yehudamalul - Own work, CC BY-SA 3.0,
- 4. ©drtamil@gmail.com 2016 What test to use? Pearson’s Correlation done earlier showed that there is a significant positive and fair correlation between MOTHERS’ BODY MASS INDEX (in kg) and BIRTH WEIGHT (in kg) Now model the relationship between MOTHERS’ BODY MASS INDEX (in kg) and BIRTH WEIGHT (in kg) by fitting a linear equation to observed data. y = a + bx
- 5. ©drtamil@gmail.com 2016 Factors Affecting SGA Birth weight (in kg) Proxy for Mother’s Nutrition; Body Mass Index in kg/m2 Smoking (Y/N) Hypertension (Y/N)
- 6. ©drtamil@gmail.com 2016 What test to use? Birth weight – interval/continuous data. Body Mass Index – interval/continuous data. The aim here to model the relationship between MOTHERS’ BODY MASS INDEX (in kg) and BIRTH WEIGHT (in kg) by fitting a linear equation to observed data. Assuming both BMI & birth weight are normally distributed, most suitable test is Simple Linear Regression.
- 7. ©drtamil@gmail.com 2016 y = a + bx, “a” is y-intercept.
- 8. ©drtamil@gmail.com 2016 y = a + bx, “b” is slope/steepness of line.
- 9. Running Simple Linear Regression on SPSS http://www.palmx.org/drtamil/spss/ sga-ttest-youtube.sav
- 10. ©drtamil@gmail.com 2016 Results y = a + bx Birth weight = 1.524 + 0.053 mBMI For every increase of 1 unit of mother’s BMI, the baby’s birth weight increases 53 grams. Equation valid since p<0.05
- 11. ©drtamil@gmail.com 2016 Conclusion Birth weight = 1.524 + 0.053 mBMI For every increase of 1 unit of mother’s BMI, the baby’s birth weight increases 53 grams. So if the mother’s BMI is 20, then the birth weight would be around: 1.524 + 0.053 x 20 = 2.584 kg If the mother’s BMI is 40, then the birth weight would be around: 1.524 + 0.053 x 40 = 3.644 kg r2 = 0.186, therefore 18.6% of the birth weight variability is contributed by mBMI.
- 12. ©drtamil@gmail.com 2016 Exercise Repeat the same statistical test between; ◦ Mothers’ Weight and Birth Weight ◦ You can also swap Weight for Age or Height but take note of the p-values for a & b, some won’t be significant, indicating that the linear equation is not valid.

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