

Quadratic Regression
Presentation
•
Mathematics
•
10th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
7 Slides • 4 Questions
1
Linear & Quadratic Regression using Desmos
I can determine an equation of the curve of best fit, using a graphing utility, given a set of no more than 20 data points in a table, graph, or practical situation

2
Poll
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3
Today, we will review:
Line & Curve of Best Fit
Quadratic Regression
Regressions using Desmos
4
Line of Best Fit
A line of best fit (or trend line) is a straight line that best represents the data on a scatter plot. Depending on the strength of the correlation, this line may pass exactly through all of the points, some of the points, or none of the points. However, it always represents the general trend of the of the data.
5
Line of Best Fit Correlations
6
Curve of Best Fit
A curve the best approximates the trend on a scatter plot. If the data appears to be quadratic, we perform a quadratic regression to get the equation for the curve of best fit.
7
8
Regression in Desmos
Click the plus sign in the top left corner
Add item, table and enter data
In next row, enter equation of reference
Add a squiggle ~ in place of the equal
Use the residuals (plot) to get the coefficients for the equation
9
Multiple Choice
What equation best represents this data set?
{(−4, −5), (−3, −8), (−2, −9), (−1, −8), (0, −5), (1, 0.5)}
y=1.04x +4.84
y=1.04x−4.84
y=1.04x2+4.21x−4.84
y=1.04x2+4.21x+4.84
10
Multiple Choice
Using the equation of the line of best fit from problem 1, which number is the best prediction of output when the input is -1.5?
-8.815
-2.5
0.865
7.18
11
Poll
Do you have enough information to try practice problems?
Yes, I took notes.
Yes, I will re-watch the recording if I have questions.
No, I need to re-watch the video to get the steps.
No I didn't understand the concept.
Linear & Quadratic Regression using Desmos
I can determine an equation of the curve of best fit, using a graphing utility, given a set of no more than 20 data points in a table, graph, or practical situation

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