Q2 Medical researchers have noted that adolescent females are much more likely to deliver low birth weight babies than adult females. Because low birth weight babies have higher mortality rates, there have been a number of studies examining weight and mother's age for babies born to young mother. The summary statistics are shown below: the relationship between birth Σ-2910 ΣΥ-30,041 Σ -91,785,351Σον = 515,600| n=10 Ex=170 Find the equation of the regression line. Then, find the average birth babies born to 18 year-old mothers. (i) weight of (ii) Calculate the correlation coefficient, r and coefficient of determination, r2. Interpret the results for each coefficient. (iii) Test the null hypothesis B, =100 against the alternative hypothesis the 0.05 level of significance. B, >100 at

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Q2_ Medical researchers have noted that adolescent females are much more likely to deliver low
birth weight babies than adult females. Because low birth weight babies have higher mortality
rates, there have been a number of studies examining
weight and mother's age for babies born to young mother. The summary statistics are shown
the relationship between birth
below:
Ex? = 2910
Ey= 30,041 Ey² = 91,785,351 Exy = 515,600
n=10
Ex=170
weight of
Find the equation of the regression line. Then, find the average birth
babies born to 18 year-old mothers.
(i)
Calculate the correlation coefficient, r and coefficient of determination, r2. Interpret the
results for each coefficient.
(ii)
(iii)
Test the null hypothesis B, =100 against the alternative hypothesis
B, > 100 at
the 0.05 level of significance.
Transcribed Image Text:Q2_ Medical researchers have noted that adolescent females are much more likely to deliver low birth weight babies than adult females. Because low birth weight babies have higher mortality rates, there have been a number of studies examining weight and mother's age for babies born to young mother. The summary statistics are shown the relationship between birth below: Ex? = 2910 Ey= 30,041 Ey² = 91,785,351 Exy = 515,600 n=10 Ex=170 weight of Find the equation of the regression line. Then, find the average birth babies born to 18 year-old mothers. (i) Calculate the correlation coefficient, r and coefficient of determination, r2. Interpret the results for each coefficient. (ii) (iii) Test the null hypothesis B, =100 against the alternative hypothesis B, > 100 at the 0.05 level of significance.
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