The most familiar form of linear function is slope-intercept form, y = mx + b We are going to ask Desmos to show us the best possible linear function to model the
| Previous PDF | Next PDF |
[PDF] Discover Slope (m)
a) determine the slope, m, as rate of change in a proportional relationship From the page, create a class code to distribute to students (visit the Desmos tutorial
[PDF] Handout 11 – Linear Regressions on Desmos – A - WordPresscom
The most familiar form of linear function is slope-intercept form, y = mx + b We are going to ask Desmos to show us the best possible linear function to model the
[PDF] Algebra I - Chesapeake Public Schools
Identify the two intercepts and the slope, then write the equation in DESMOS in your ninth box x-intercept: ______ y-intercept: ______ slope: ______ equation:
[PDF] 83-student-learning-goals-glossary - Google Docs - Desmos
Section 2: Slope-Intercept Form Lesson 4: Stacking Cups Introduction to Linear Relationships ○ I can find the rate of change of a linear relationship by figuring
[PDF] MEI Desmos Tasks for AS Core
27 fév 2021 · For the following equations plot the graphs of the curves and the graphs of their gradient functions Use the gradient function to find where the
[PDF] key__notes_on_slopepdf - Breon
How to find slope when given the graph of a line: Later in the lesson we will be using a formula to find slope We will often get Graphs made with Desmos
[PDF] Discover y-intercept (b) - Virginia Department of Education
6 Teachers should have students practice how to determine the y-intercept and how to graph a line between two quantities by assigning: Desmos SOL 7 10cd
[PDF] THE EFFECTS OF DESMOS AND TI-83 PLUS GRAPHING - CORE
in order to determine whether students who used the Desmos calculator know how to use a graphing calculator to find the vertex of a quadratic equation
[PDF] how to find the imaginary roots of a polynomial
[PDF] how to find the issue in an argument
[PDF] how to find the volume of a triangular prism
[PDF] how to fix missing font in adobe
[PDF] how to forecast exchange rates in excel
[PDF] how to format a title page in word
[PDF] how to format a word document to look professional
[PDF] how to format an epigraph
[PDF] how to format an epigraph harvard
[PDF] how to format sd card to fat32
[PDF] how to get 1040 form from 2018
[PDF] how to get a 714 area code phone number
[PDF] how to get a caqh number
[PDF] how to get a certified birth certificate
Handout 11 - Linear Regressions on Desmos - A tutorial Algebra II
This handout is meant to support you in learning how to use Desmos to create lines of best fit using regression modeling.
So, go to https://preview.desmos.com/calculator and enter the following data into a table.This is the data taken from a group of people trying to fill in different-sized circles with pennies.
Diameter (cm) # of pennies
0 0 1.5 1 2 1 2.5 1 3 1 4 3 4.5 4 5 4 5.5 6 6 7 6.5 8 7 107.5 12
8 138.5 15
It probably looks something like this:
Once you've created your table, make sure to adjust your window settings so that your data is completely visible.The questions we are going to try to answer are:
1. Which function family best represents this data?
2. What is the function rule that best models this data?
3. How well does that function rule model the data?
Handout 11 - Linear Regressions on Desmos - A tutorial Algebra IIJust by looking at the data, it can be a little tough to tell it would be best modeled by a function from the linear family or a function from the quadratic family.
So, let's explore both.
We'll have to explore them one at a time. We'll start with linear. The most familiar form of linear function is slope-intercept form, y = mx + b. We are going to ask Desmos to show us the best possible linear function to model the data in our table. Click ͞+" to add an expression and type in ͞y1~mx1+b" You should see a line appear on the graph and some values appear under the expression.It should look like this:
Let's look at the values under the expression.
͞r" is the CORRELATION COEFFICIENT. The correlation coefficient acts like a rating system telling you
how well the best fit line represents the data. ͞r" will always be between 0 and 1. The closer the
correlation coefficient gets to 1, the better the best fit function models the data.The ͞parameters" tell you the
specifics about your best fit function rule.The function rule of the linear best
fit function is: y = 2.05x - 4.31 Handout 11 - Linear Regressions on Desmos - A tutorial Algebra IIIf r is positive, it tells you there's a positive correlation. If r is negative, it tells you there's a negative
correlation.So, now let's model this data with a quadratic and see if the correlation coefficient gets closer to 1.
Remember, the general expression for a quadratic function is y = ax2 + bx + c. So, delete the expression in line 1, and type in y1 ~ ax12 + bx1 + c. So, the function rule for the best fit line is y = .277x^2 - .704x + 1.19. And notice also, that now the correlation coefficient is much closer to 1.The conclusion that we can draw is that this data set is much more realistically modeled by a quadratic
function that a linear one.