Question

Let’s work with some actual data this time. Go online to research and find a set of real-world data in two variables. The data can be in tabular form or in a scatter plot. Choose data that has a reasonable number of data points so you’re able to uncover trends. For the purposes of this activity, the data must not show a linear association. Describe the data you’ve identified in a sentence or two, and include a link to the data. then create a scatter plot of your data.
Identify the function from part B that best fits the scatter plot of your real-world data. why did you choose the function that you did in part c? explain your answer.

Answer 1

The quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x  + 1369.14

The data points

The following table of values represents the data points that would be used to solve this question:

x 3 4 5 6 7 8 9

y 470 416 403 226 314 338 693

Where:

• x represents years since 2000
• y represents the annual revenue of a manufacturing company in thousand dollars

The function of the dataset

The table of values illustrates a quadratic function.

The function would be calculated using a graphing calculator

From the graphing calculator, we have:

a = 32.86; b = -379.14 and c = 1369.14

A quadratic regression equation is represented as:

y = ax² + bx + c

So, we have:

y = 32.86x² - 379.14x  + 1369.14

Hence, the quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x  + 1369.14

Why the function type was chosen?

From the table of values in (a), we can see that as x increases; the value of y decreases and then increases after it reaches a minimum.

This illustrates the behavior of a quadratic regression function

See attachment for the scatter plot

Read more about quadratic regression equation at:

brainly.com/question/14786188

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