How to Use a Calculator for Linear Regression in Common Core Algebra 1
Linear regression is a method of finding the best-fitting line for a set of bivariate data, which consists of two variables that are related to each other. Linear regression can help us analyze the relationship between the variables, such as how one variable changes as the other variable increases or decreases.
In Common Core Algebra 1, you will learn how to use a graphing calculator to perform linear regression and create scatterplots, which are graphs that show the data points and the line of best fit. A graphing calculator can make the process of linear regression faster and easier than doing it by hand.
Linear Regression On The Calculator Common Core Algebra 1 Homework Answers
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In this article, we will show you the steps to use a graphing calculator for linear regression in Common Core Algebra 1, using an example from Unit 10 Lesson 7 of eMATHinstruction[^1^]. You can also watch a video tutorial on this topic on YouTube[^1^] or TeacherTube[^2^].
Step 1: Enter Data into Lists
The first step is to enter the data into two lists on your calculator. The lists are usually labeled L1 and L2, and they store the values of the independent variable (x) and the dependent variable (y) respectively. To enter data into lists, follow these steps:
Press STAT and then choose 1:Edit.
Use the arrow keys to move to L1 and enter the values of the independent variable, separated by ENTER.
Use the arrow keys to move to L2 and enter the values of the dependent variable, corresponding to the values in L1, separated by ENTER.
Press 2nd MODE to quit.
For example, suppose we have the following data on the number of hours spent studying (x) and the test score (y) for 10 students:
xy
0.565
170
1.575
280
2.585
390
3.595
4100
4.5105
5110
We would enter these values into L1 and L2 as shown below:
Step 2: Create a Scatterplot
The next step is to create a scatterplot of the data on your calculator. A scatterplot is a graph that shows the data points as dots and helps us visualize the relationship between the variables. To create a scatterplot, follow these steps:
Press 2nd Y= to access STAT PLOT.
Choose 1:Plot1 and press ENTER.
Select ON and press ENTER.
Select the first icon (scatterplot) and press ENTER.
Select L1 for Xlist and L2 for Ylist and press ENTER.
Select any symbol for Mark and press ENTER.
Press ZOOM and then choose 9:ZoomStat to adjust the window settings.
You should see a scatterplot like this:
Step 3: Perform Linear Regression
The final step is to perform linear regression on your calculator. Linear regression will find the equation of the line that best fits the data points, using a method called least squares. The equation will be in the form y = ax + b, where a is the slope and b is the y-intercept. 0efd9a6b88
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