Question

Suppose the line of the best fit is being found for some data points that have an r-value of 0.885. if the mean of the x-coordinates is 5,768, and the mean of the y-coordinates is 8.112, what is the slope of the line to three decimal place.

a)1.245<<<< nvm thats the correct answer 
b)0.803
c)0.629
d)1.589

Answer 1

The correct answer is 1245

Answer 2

a)1.245

Explanation:

There is a mistake in the question, the corrected version is:

"the standard deviation of the x-coordinates is 5.768 and the standard deviation of the y-coordinates is 8.112"

The equation of a line, in general terms, is:

y = a + b*x

where b is its slope and a is its y-intercept.

In a regression, the slope can be computed as follows:

b = r * standard deviation of the y-coordinates / standard deviation of the x-coordinates = 0.885*8.112/5.768 = 1.245