2 Suppose the correlation between the amount of time spent w

2) Suppose the correlation between the amount of time spent watching TV and the achievement test scores of children in elementary school is r 40. Each of the following statements represents a possible interpretation of this relationship. Indicate whether each is true or false. If it is false, indicate why it is false. (2 pts. each) a) Extensive TV watching causes a decline in achievement scores. b) Children who watch a small amount of TV tend to perform better on the achievement test than those who watch a lot of TV TV watching could not possibly cause a decline in test scores. c) d) Every child who watches a lot of TV will perform poorly on the achievement test

Solution

Correlation coeffcient between the variables shows that relationship between the variables watching TV and the achievment test scores is -0.40, which shows the relationship between the variables is negative, strong and linear.

(a)

Since relationship between the variables is negative so this statement is true.

(b)

True, becuase relationship between the variables is negative

(c)

False because correlation coefficient does not shows cause and effect relationship between the variables. Since correlation coefficient shows that there is a relaionship betwene the variables so it may be possible that children who watch small amount of TV tend to perform better on the achievement test than those who wants a lot of TV.

(d)

False because correlation coefficient does not shows cause and effect relationship between the variables.