Question 6 of 10 When a graphing calculator was used to find the exponential regression equation for some exponential data, the following information was returned.

EXPReg
y=a*b^x
a=7.354734813
b=18.57922764
r²=.9976376934
r=.9988181186

What is the equation of the exponential regression equation? Round all numbers in your answer to three decimal places.

x = -2

y = 848

step-by-step explanation:

plug in the numbers

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.