PLEASE HELP!! Jackson relies on his customers to tell their friends about his business. His business grows as each customer continues to tell others about his or her experience and they in turn tell others as well. 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) Using technology (graphing calculator or Excel spreadsheet), 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.

Regression models can be linear, quadratic or exponential.

(a) The exponential regression equation

Using a graphing calculator, the exponential regression equation is:

(b) Estimate the number of personal recommendations 60 days

This means that x = 60.

So, we have:

Evaluate the exponent

Evaluate the product

Hence, the number of personal recommendations 60 days after Jackson opens his business is 2649

Read more about regression models at:

link

a) y = 9.187 * 1.09899^x

b) 2647.2695

Step-by-step explanation:

a) using calculator, (mine is ti84 plus ce), we use stat and edit. we plug in x and y. x will be in the L1 and y wil be in L2. Now, we go to stat, calc,  and we press ExpReg, short for exponential regression. we calculate and get y = 9.187 * 1.09899^x

you can round if you want. well, i guess you shouldn't, cuz it changes it dramatically

b) Now, we use y = 9.187 * 1.09899^x into the y= and we put it in whatever slot we want. Now, we press trace. we press 60 to find the y,because the number is always x. the number , y, we want is 2647.2695 recommendations.