Question

Red meat consumption and how much you poop per day have a correlation coefficient r = +0.83. What does this graph look like?

a) Positive slope
b) Negative slope
c) Horizontal line
d) Vertical line

Answer 1

The correct answer is b) It is a straight line with positive slope. A correlation coefficient of r = +0.83 signifies a strong positive relationship, where an increase in one variable is associated with an increase in the other.

Step-by-step explanation:

A correlation coefficient of r = +0.83 indicates a strong positive relationship between two variables. In this case, it relates to red meat consumption and the frequency of bowel movements per day. A positive correlation means that as red meat consumption (x) increases, the number of bowel movements per day (y) also tends to increase. Similarly, a decrease in red meat consumption would generally be associated with a decrease in the number of bowel movements.

The graph representing this correlation will have a straight line with a positive slope. This means that the line on the graph will rise as you move from left to right. As the quantity of red meat consumption increases, so does the frequency of bowel movements, represented by the upward trajectory of the line on the graph.

Therefore, the correct answer to the question is: b) It is a straight line with positive slope.