N complete two or more sentences, determine the appropriate model for the given data and explain how you made your decision. (1,0), (2,1.5), (5,2.5), (8,3)

What you can do for this case is graph the data in a computer program, for example, excel and look for the trend line of the function.

For this case, the function has a logarithmic behavior, therefore, we choose a linear logarithmic trend.

The function that best suits the problem is:

y = 1.4004ln (x) + 0.2158

The value of R ^ 2 indicates the accuracy of the function

R² = 0.9691

For R ^ 2 = 1 the function is completely accurate.

We note that in that case R² = 0.9691, the function chosen has a good approximation.