Researchers (Daniel, 1999) were interested in answering the research question: I

Question

Researchers (Daniel, 1999) were interested in answering the research question: Is a baby's birth weight related to the mother's smoking during pregnancy? They collected data on a random sample of n = 32 births. The following were the variables of interest: Response (y): birth weight (Weight) in grams of baby Potential predictor (x_n): Smoking status of mother (yes or no) Potential predictor (x_): length of gestation (Gest) in weeks Below is the out of the regression analysis based on the data collected. Call: lm(formula = Wgt-Gest + Smoke, data-Smoking, baby) Residual standard error: 115.5 on 29 degrees of freedom Multiple R-squared: 0.8964, Adjusted R-squared: 0.8892 F- statistic: 125.4 on 2 and 29 DF, p -value: 5.289e-15 a. Which of the three variables is the dependent variable. b. Which of the predictor is a qualitative variable? c Write the regression equation. d. Based on the output, taking into account of length of gestation, how does mother's during pregnancy affect the baby's birth weight? e. For a fixed gestation length what is the difference in the average birth weights for and non-smoking mothers in the sample.

Explanation / Answer

a] Dependent variable : birth weight in grams of baby , smoking status of mother , length of generation in weeks(Gest)

b] predictor is a qualitative variable : smoking status of mother.(yes or no)

c] regression equation is ,

y= -2389.573 +143.100 Gest - 244.544 smokeyes

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