Question

Construct a scatterplot and identify the mathematical model that best fits the data. Assume that the model is to be used only for the scope of the given data and consider only linear, quadratic, logarithmic, exponential, and power models. Use a calculator or computer to obtain the regression equation of the model that best fits the data. You may need to fit several models and compare the values of R2.

The table image below shows the population of a city (in millions) in each year during the period 1990 - 1995. Using the number of years since 1990 as the independent variable, find the regression equation of the best model.

y = 1.08 e0.228 x
y = 1.27 x0.550
y = 0.05 x2 + 0.27 x + 1.06
y = 0.930 + 0.454 x

Answer 1

Step-by-step explanation:, in this function, the scatter points follow this function. Then the correct option is C.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Construct a scatterplot and identify the mathematical model that best fits the data.

Assume that the model is to be used only for the scope of the given data and consider only linear, quadratic, logarithmic, exponential, and power models.

Use a calculator or computer to obtain the regression equation of the model that best fits the data.

You may need to fit several models and compare the values of R2.

A. , in this function, the scatter points do not follow this function.

B. , in this function, the scatter points do not follow this function.

C. , in this function, the scatter points follow this function. Because the best fits.

D. , in this function, the scatter points do not follow this function.