High School

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Make a scatter plot of the data below.

| x | y |
|-----|-------|
| 25 | 150 |
| 50 | 178 |
| 75 | 216 |
| 100 | 265 |
| 125 | 323 |
| 150 | 392 |
| 175 | 470.4 |

Using the quadratic regression equation, predict what the y-value will be if the x-value is 200.

A. y = 83.5
B. y = 346.9
C. y = 238.1
D. y = 555.5

Answer :

By looking at the scatter plot we can predict that the answer will be higher than previous answers since there is a positive relationship between x and y. With this idea, we can determine that a. is not the answer. Since it is too small of a y value. It also can't be b or c since these values are also small. Therefore the answer is d, for an x value of 200 the y value should be 555.5 from the choices given.

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Rewritten by : Barada

The quadratic regression equation is y = 0.009 X^2 +0.371 X +136.171, and the y-value is 555.5 if the x-value is 200.

How to predict the y value when x = 200

To draw the scatter plot, we make use of a graphing calculator

See attachment for the scatter plot.

From the graphing calculator, the equation is:

y = 0.009 X^2 +0.371 X +136.171

When x = 200, we have:

y = 0.009 * 200^2 +0.371 * 200 +136.171

Evaluate the sum of products

y = 570.371

The closest value is 555.5

Hence, the y-value will be if the x-value is 200 is 555.5

Read more about quadratic regression equations at:

https://brainly.com/question/14279500