Question

The data in the table shows the population P(x) of a particular species at time x. Determine a linear model and predict the population in year 118. Remember: when predicting a population, always discard partial units - in other words, round down.
x 0 9 18 29 44 59 63 77
P(x) 7 52 99 143 220 303 323 393

Answer 1

The regression equation that shows the population P(x) is given as follows:

P(x) = 3.02x + 7.81.

With the model, the prediction for the population in year 88 is of 273.

How to find the equation of linear regression using a calculator?

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

(0,7), (5,17), (23,84), (31, 107), (45, 143), (60, 182), (68, 217), (79, 249).

Inserting these points in the calculator, the equation is given by:

P(x) = 3.02x + 7.81.

The prediction for the population in year 88 is given by:

P(88) = 3.02(88) + 7.81 = 273.

More can be learned about line of best fit at brainly.com/question/24808124

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