A study was conducted to determine whether the amount a person spends per month on groceries correlates in a linear fashion to monthly income. Income $850 $1,190 $1,060 $910 $790 $900 $1,140
Amount $65 $175 $140 $135 $45 $89 $150
(a) Which of the following best describes the direction of the correlation if the correlation coefficient is r = 0.923 for the data set?
A. There is no correlation
B. There is a correlation, but it is neither positive nor negative.
C. There is a positive correlation.
D. There is a negative correlation.
(b) Which of the following best describes the strength of the correlation if the correlation coefficient is 0.923 for the data set?
a. weak linear relationship.
b. moderate linear relationship.
c. very weak linear relationship.
d. strong linear relationship.
e. no linear relationship.
(c) Referring to the scenario above and the value found, what is the implication for the behavior of yas x increases>
A. Based on the given value of r, y should tend to increase as x increases.
B. Based on the given value of r, y should tend to decrease as x increases.
C. Based on the given value of r, y should tend to remain constant as x increases.
D. Based on the given value of r, we cannot draw any conclusions for the behavior of y as x increases.