Excersize 8.1 introduces a data set on birth weight of babies. Another variable
ID: 3259184 • Letter: E
Question
Excersize 8.1 introduces a data set on birth weight of babies. Another variable we consider is parity, which is 0 if the child is the first born, and 1 otherwise. The summary table below shows the results of a linear regression model for predicting the average birth weight of babies, measured in ounces, from parity.
(a) Write the equation of the regression line.
(b) Interpret the slope in this context, and calculate the predicted birth weight of first borns and others.
(c) Is there a statistically signifigant relationship between the average birth weight and parity?
Explanation / Answer
Solution:-
Estimate Std. Error t value Pr(>|t|) (Intercept) 120.07 0.60 199.94 0.0000 parity -1.93 1.19 -1.62 0.1052
(a) Write the equation of the regression line.
b0 = 120.07 partity,b1 = -1.93
y = 120.07 - 1.93 * x
(b) Interpret the slope in this context, and calculate the predicted birth weight of first borns and others.
Parity, x = 0, y= 120.07 the predicated birth weight is 120.07 when first borns, x =0.
Other, x =1,
(c) Is there a statistically significant relationship between the average birth weight and parity?
The p-value of 0.1052 is given larger than 0.05, the H0, hypothesis can not be rejected, so it is not a statistically significant relationship between the average birth weight and partity.
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