The table shows the number of people who have recommended jackson’s business for different days after it first opens.

time (days), x 3 4 7 10 12 13 17 18 21 27 30
number of personal recommendations, y 12 14 18 23 28 31 46 50 67 118 157

(a) write the exponential regression equation that models the data.
(b) use the equation to estimate the number of personal recommendations 60 days after jackson opens his business. show your work.

i saw an answer using desmos but i have never used this before and do not understand how they came up with the answer

a)

The exponential regression equation that models the data is;

b)

The number of personal recommendations 60 days after Jackson opens his business is approximately 2649

Step-by-step explanation:

a)

Exponential regression can easily be carried out in Ms. Excel. The first step is to enter the data in any two adjacent columns with the headers x and y in order to differentiate the response from the predictor variable.

The next step is to highlight the data, click the insert ribbon and choose the scatter-plot feature. This step will create an x, y scatter-plot for the data. The next step we click on the Add-Chart Element feature and add an exponential trend line to the scatter-plot while ensuring the Display Equation on chart is checked.

Ms. Excel provides the following exponential regression equation that models the data;

b)

We are required to use the equation to estimate the number of personal recommendations 60 days after Jackson opens his business. In other words we are told to estimate the value of y when x = 60.

To perform this estimation, we substitute x with 60 in the exponential regression equation above;

y = 2649

Therefore, the number of personal recommendations 60 days after Jackson opens his business is approximately 2649.

answer: 45

-6 is the correct option from the above given options