# Question: A communications researcher wanted to measure the effect of television

A communications researcher wanted to measure the effect of television viewing on aggressive behavior. He questioned a random sample of 14 children as to how many hours of television they watch daily (X) and then, as a measure of aggression, observed the number of schoolmates they physically attacked (shoved, pushed, or hit) on the playground during a 15-minute recess (Y). The following results were obtained:

X Y

0…………………………… 0

6…………………………… 3

2…………………………… 2

4…………………………… 3

4…………………………… 4

1…………………………… 1

1…………………………… 0

2…………………………… 3

5…………………………… 3

5…………………………… 2

4…………………………… 3

0…………………………… 1

2…………………………… 3

6 …………………………… 4

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 schoolmates attacked by a child who watches television 3 hours daily.

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

X Y

0…………………………… 0

6…………………………… 3

2…………………………… 2

4…………………………… 3

4…………………………… 4

1…………………………… 1

1…………………………… 0

2…………………………… 3

5…………………………… 3

5…………………………… 2

4…………………………… 3

0…………………………… 1

2…………………………… 3

6 …………………………… 4

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 schoolmates attacked by a child who watches television 3 hours daily.

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

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