Which of the following exponential regression equation best fits the data shown below. Please help ASAP. ☺️

Option D [] in the list of possible answers

Step-by-step explanation:

For this problem you are supposed to use a calculator that allows you to do an exponential regression. There are many tools that can help you with that, depending on what your instructors has assigned for your class.

I am showing you the results of a graphing tool I use, and which after entering the x-values and the y-values in independent "List" forms, when I request the exponential regression to fit the data, I get what you can see in the attached image.

Notice that the exponential of best fit with my calculator comes in the form:

with optimized parameters:

Notice as well that since:

the exponential best fit can also be written:

and this expression is very close to the last option shown in your list of possible answers

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

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step-by-step explanation: