Answer True or False for the following statements. Justify your answer if False.

Question

Answer True or False for the following statements. Justify your answer if False.

d. A student might expect that there is a positive correlation between the age of his or her computer and its resale value.

f. The coefficient of determination can assume negative values.

g. A negative correlation indicates that as values of x are increased, values of y will decrease.

h. If there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be –1.

Explanation / Answer

1) A student might expect that there is a positive correlation between the age of his or her computer and its resale value.

Ans - False. If age of comuter increases than resale value in decreases. So negative correlation between the age of his or her computer and its resale value.

2 ) The coefficient of determination can assume negative values.

Ans - False , Correlation coefficient is denoted by R2. It is square of correlation coefficient.

3) A negative correlation indicates that as values of x are increased, values of y will decrease.

Ans- True

4) If there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be –1.

Ans - False, If there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be 0 . If correlation coefficient is -1 then there is strong negative correlation independent and dependent variables

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