Check the picture below.
make sure your calculator is in Degree mode.
We are given a line with the following data:
r-value = 0.657 (r)
standard deviation of x-coordinates = 2.445 (Sx)
standard deviation of y-coordinates = 9.902 (Sy)
We are asked to find the slope of the line up to 3 decimal places.
To find the slope of the line, based on the data that we have, we can use this formula:
slope, b = r * (Sy / Sx)
substitute the values to the formula:
b = 0.657 * ( 9.902 / 2.445 )
Solve for the b.
Therefore, the slope of the line is
b = 2.66078, round off to three decimal places:
b = 2.661 is the slope of the line.
%change=100(final-initial)/initial,
%change=100(New price-Original price)/Original price
(Original price*%change)/100=New price-Original price
New Price=(Original price*%change+100*Original price)/100
New Price=Original price(100+%change)/100
Since %change is -4%...
New Price=0.96(Original price)
...
Since original price is $45400
New Price=0.96(45400)
New Price=$43584
