Answer the following as “sometimes,” “always,” or “never.” Explain each “never” and “sometimes” response.
a. The correlation coefficient has the same sign as the slope of the least squares line fitted to the same data.
b. A correlation coefficient of 0.99 indicates a strong causal relationship between the variables under consideration.
c. An r value greater than zero indicates that ordered pairs with high x values will have low y values.
d. The y intercept and the slope for the line of best fit have the same sign.
e. If x and y are independent, then the population correlation coefficient equals zero.