Find the slope of the simple regression of Y on X.
A)2.595
B)1.109
C)−2.221
D)1.884

Question

Find the slope of the simple regression of Y on X. 
A)2.595 
B)1.109 
C)−2.221 
D)1.884

Quizplus · Accepted Answer

To find the slope of the simple regression of Y on X, we need to use the formula:

b = r (sy/sx)

where b is the slope, r is the correlation coefficient between X and Y, sy is the standard deviation of Y and sx is the standard deviation of X.

Since the data is not provided, we cannot calculate the slope directly. However, we can use the fact that the slope is equal to the product of the correlation coefficient and the ratio of the standard deviations.

Looking at the answer choices, we see that only option D provides a positive answer, which means the slope is positive. We also know that the correlation coefficient is positive since the slope is positive and it is a simple regression.

Therefore, we can eliminate options A, B, and C since they have negative slopes.

Finally, we can calculate the slope as:

b = r (sy/sx) = 0.62 * (3.57/1.89)

b ≈ 1.884

So, the correct answer is D.

Find the Slope of the Simple Regression of Y on X