The table of temperatures for a city is a quadratic regression equation
- The equation for the curve best fit is [tex]y = -0.45 x^2 +3.26 x +17.61[/tex]
- The predicted temperature at 7:00 pm is 10 degrees Fahrenheit
How to determine the equation?
To determine the equation for the curve best fit, we make use of a graphing calculator..
From the graphing calculator, we have the following calculation summary
- a = -0.45
- b = 3.26
- c = 17.61
A quadratic equation of best fit is represented as:
[tex]y = ax^2 + bx + c[/tex]
So, we have:
[tex]y = -0.45 x^2 +3.26 x +17.61[/tex]
The temperature at 7:00 pm
7:00 pm is 9 hours since 10 a.m.
So, we have:
[tex]y = -0.45 *9^2 +3.26 *9 +17.61[/tex]
Evaluate
[tex]y = 10.5[/tex]
Approximate
[tex]y = 11[/tex]
Hence, the predicted temperature at 7:00 pm is 10 degrees Fahrenheit
Read more about regression equations at:
https://brainly.com/question/732489
