Answer:
Carrie's slope value is correct.
Step-by-step explanation:
The least square regression line is:
Here is the slope of the line.
The formula to compute the slope is:
Here = standard deviation of <em>x</em> and
= standard deviation of <em>y</em>.
It is provided that the standard deviation of <em>x</em> and <em>y</em> are equal.
So the slope of the regression line is:
Thus, if the standard deviation of <em>x</em> and <em>y</em> are equal the slope of the line is same as the correlation coefficient.
The correlation coefficient is a measure used to determine the strength of the linear relationship between the variables.
It ranges from -1 to 1.
Carrie's slope value was 0.50 and Ryan's slope value was 2.
Since -1 ≤ r ≤ 1 the value of slope cannot be 2.
Thus, Ryan's slope value is incorrect.