find exponential equation that best fits

Question

X= 1 2 3 4 5 6

Y= 782 936 966 1159 1268 1491

Use regression to find an exponential equation that best fits with the data above, the equation has form Y=ab^x where:

A=

B=

Round the values to hundredths (two decimal places)

Answer 1

here is a fine approximate without calculator

I know b should be (1491/782)^(1/6) if the equation is exponential

b=1.114

then 782=a*1.114

a=702

y=702*1.114^x