# Question: Suppose that a researcher collected the following set of data

Suppose that a researcher collected the following set of data on years of education (X) and number of children (Y) for a sample of 10 married adults:

X Y

12â€¦â€¦â€¦â€¦â€¦â€¦. 2

14â€¦â€¦â€¦â€¦â€¦â€¦. 1

17â€¦â€¦â€¦â€¦â€¦â€¦. 0

10â€¦â€¦â€¦â€¦â€¦â€¦. 3

8â€¦â€¦â€¦â€¦â€¦â€¦. 5

9â€¦â€¦â€¦â€¦â€¦â€¦. 3

12â€¦â€¦â€¦â€¦â€¦â€¦. 4

14â€¦â€¦â€¦â€¦â€¦â€¦. 2

18â€¦â€¦â€¦â€¦â€¦â€¦. 0

16â€¦â€¦â€¦â€¦â€¦â€¦. 2

a. Draw a scatter plot of the data.

b. Calculate the regression slope and Y-intercept.

c. Draw the regression line on the scatter plot.

d. Predict the number of children for an adult with 11 years of education.

e. Find the coefficients of determination and nondetermination. What do they mean?

X Y

12â€¦â€¦â€¦â€¦â€¦â€¦. 2

14â€¦â€¦â€¦â€¦â€¦â€¦. 1

17â€¦â€¦â€¦â€¦â€¦â€¦. 0

10â€¦â€¦â€¦â€¦â€¦â€¦. 3

8â€¦â€¦â€¦â€¦â€¦â€¦. 5

9â€¦â€¦â€¦â€¦â€¦â€¦. 3

12â€¦â€¦â€¦â€¦â€¦â€¦. 4

14â€¦â€¦â€¦â€¦â€¦â€¦. 2

18â€¦â€¦â€¦â€¦â€¦â€¦. 0

16â€¦â€¦â€¦â€¦â€¦â€¦. 2

a. Draw a scatter plot of the data.

b. Calculate the regression slope and Y-intercept.

c. Draw the regression line on the scatter plot.

d. Predict the number of children for an adult with 11 years of education.

e. Find the coefficients of determination and nondetermination. What do they mean?

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