A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
The domain is all possible values for x.
The range is all possible values for f(x) or y.
The domain given is {-3, -2, -1, 1}.
Plug x as {-3, -2, -1, 1} and find the f(x) or y values.
The range is {7, 6, 5, 3}, when the domain is {-3, -2, -1, 1}.
The quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x + 1369.14
<h3>The data points </h3>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 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
<h3>Why the function type was chosen?</h3>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:
#SPJ1
