High School

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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 [tex]y = 0.008x^2 + 0.518x + 131.886[/tex], 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 :

Final answer:

By substituting x with 200 in the quadratic regression equation y = 0.008x² + 0.518x + 131.886, we find the y-value to be approximately 555.5.

Explanation:

To predict the y-value for an x-value of 200 using the quadratic regression equation y = 0.008x² + 0.518x + 131.886, we simply substitute x with 200.

The calculation is as follows:
y = 0.008(200)² + 0.518(200) + 131.886

= 0.008(40,000) + 103.6 + 131.886

= 320 + 103.6 + 131.886

= 555.486

Rounding to one decimal place, we get:

y ≈ 555.5

Thus, the predicted y-value when x is 200 is approximately 555.5.

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada