Assume that you have 125 observations on the height (H)and weight (W)of your peers in college. Let = 68, = 3.5, = 29.The sample correlation coefficient is
A)1.22
B)0.50
C)0.67
D)Cannot be computed since males and females have not been separated out.

Question

Assume that you have 125 observations on the height (H)and weight (W)of your peers in college. Let  = 68,  = 3.5,  = 29.The sample correlation coefficient is
A)1.22 
B)0.50 
C)0.67 
D)Cannot be computed since males and females have not been separated out.

Quizplus · Accepted Answer

The sample correlation coefficient measures the strength and direction of a linear relationship between two variables. In this case, the two variables are height and weight. The value of the correlation coefficient ranges from -1 to 1.

A value of 1 indicates a perfect positive linear relationship (as one variable increases, so does the other). A value of -1 indicates a perfect negative linear relationship (as one variable increases, the other decreases). A value of 0 indicates no linear relationship.

The sample correlation coefficient between height and weight is calculated using the formula:

r = (nΣxy - ΣxΣy) / (√(nΣx^2 - (Σx)^2) * √(nΣy^2 - (Σy)^2))

where n is the number of observations, Σxy is the sum of the product of each height and weight observation, Σx and Σy are the sums of the height and weight observations, Σx^2 and Σy^2 are the sums of the squared height and weight observations.

Using the given values, we have:

n = 125
Σxy = 68
Σx = height_sum
Σy = weight_sum
Σx^2 = height_squared_sum
Σy^2 = weight_squared_sum

Unfortunately, the question does not include the data needed to calculate the necessary sum calculations. Since we do not know the values for the sums, we cannot calculate the correlation coefficient.

Therefore, the correct answer is D, "Cannot be computed since males and females have not been separated out."

Assume That You Have 125 Observations on the Height (H)and