Suppose the line of best fit is being found for some points that have an r-value of 0.769. if the standard deviation of the x-coordinates is 5.508, what is the slope of the line to three decimal places?

r value i.e Correlation between x value and y value = 0.769

=Standard deviation of the x-coordinate = 5.508

 =Standard deviation of the y-coordinate = ?=k

Slope of line is given by formula

If slope of line is m, then

m =

m=

Substitute the value of k, i.e Standard deviation of the y-coordinate and then you can get the slope of line to three decimal places.

56

step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47