A graphing calculator is recommended.
Find the exponential regression function for the data. State the coefficient of
determination r^2. (Round your numerical values to five decimal places.)
{(10, 6.7), (12, 7.2), (14, 14.8), (16, 16.4), (18, 50.1), (19, 20.1)}
y(x) =
r2 =
On your TI-83 or 84
Press STAT
Press ENTER
Under L1 Enter the first coordinates 10,12,14,16,18,19
Under L2 Enter the second coordinates 6.7,7.2,14.8,16.4,50.1,20.1
Press STAT again
Press the right arrow key to highlight CALC
Scroll down to ExpReg using the down arrow key
Press ENTER (depending on your model calculator you may have to press
ENTER several times, but eventually you'll see the following:)
ExpReg
y=a*b^x
a=(some number)
b=(some number)
r2=(some number)
r=(some number)
To answer the question:
Substitute the values for a and b in the equation y=a*b^x.
Give the value of r2
Edwin