In a high school senior class, the ratio of girls to boys is 5:3. If there are a total of 168 students
1 answer:
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Answer:
Step-by-step explanation:
By using regression line calculator,
Equation of the regression line from the data given,
y = -0.38993x + 26.95184
Here, y = weekly hours of sport
x = Time to run
For x = 50 minutes,
y = -0.38993(50) + 26.95184
= 7.45534
≈ 8
Since, slope of the given regression line is negative, correlation will be negative (n).
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:
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