Day 102 – Linear Regression Learning Targets: Students can represent data on a scatter plot, and describe how the variables are related and fit a linear.

Slides:

Advertisements

Similar presentations

1.5 Scatter Plots and Least Squares Lines

Advertisements

Section 10-3 Regression.

Objectives Fit scatter plot data using linear models with and without technology. Use linear models to make predictions.

FACTOR THE FOLLOWING: Opener. 2-5 Scatter Plots and Lines of Regression 1. Bivariate Data – data with two variables 2. Scatter Plot – graph of bivariate.

Plotting coordinates into your TI 84 Plus Calculator.

Graphing Scatter Plots and Finding Trend lines

The Line of Best Fit Linear Regression. Definition - A Line of Best or a trend line is a straight line on a Scatter plot that comes closest to all of.

Solving Systems of Equations: Elimination Method.

5-7 Scatter Plots. _______________ plots are graphs that relate two different sets of data by displaying them as ordered pairs. Usually scatter plots.

How do I find the equation of a line of best fit for a scatter plot? How do I find and interpret the correlation coefficient, r?

Researchers, such as anthropologists, are often interested in how two measurements are related. The statistical study of the relationship between variables.

Positive, Negative, or No Correlation? No Correlation Positive Correlation Negative Correlation.

2-5 Using Linear Models Make predictions by writing linear equations that model real-world data.

1.Max is a computer salesman. For each day that he works, he receives $50 plus a fixed commission amount per computer. Max is currently earning $122 for.

5.6.1 Scatter Plots and Equations of Lines. Remember our Stroop test? During the stroop test we used the tool called scatter plot A scatter plot is a.

Section 4.2 Least Squares Regression. Finding Linear Equation that Relates x and y values together Based on Two Points (Algebra) 1.Pick two data points.

Warm Up 13, 13, 15, 9, 9, 12, 13, 15, 11 1.Find Q1, Median, and Q3 2.Find the IQR 3.Find the mean. 4.Find the mean absolute deviation.

Line of Best Fit Linear Regression.

2-5: Using Linear Models Algebra 2 CP. Scatterplots & Correlation Scatterplot ◦ Relates two sets of data ◦ Plots the data as ordered pairs ◦ Used to tell.

Describe correlation EXAMPLE 1 Telephones Describe the correlation shown by each scatter plot.

Holt Algebra Curve Fitting with Linear Models 2-7 Curve Fitting with Linear Models Holt Algebra 2 Lesson Presentation Lesson Presentation.

Section 12.2 Linear Regression HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2008 by Hawkes Learning Systems/Quant Systems, Inc. All.

Topic 5: Logarithmic Regression

Scatter Diagrams Objective: Draw and interpret scatter diagrams. Distinguish between linear and nonlinear relations. Use a graphing utility to find the.

12/5/2015 V. J. Motto 1 Chapter 1: Linear Models V. J. Motto M110 Modeling with Elementary Functions 1.4 Linear Data Sets and “STAT”

2-7 Curve Fitting with Linear Models Warm Up Lesson Presentation

5.7 Scatter Plots and Line of Best Fit I can write an equation of a line of best fit and use a line of best fit to make predictions.

Correlation The apparent relation between two variables.

9.1B – Computing the Correlation Coefficient by Hand

Section 2-5 Continued Scatter Plots And Correlation.

Scatter Plots, Correlation and Linear Regression.

2.5 Using Linear Models P Scatter Plot: graph that relates 2 sets of data by plotting the ordered pairs. Correlation: strength of the relationship.

Scatterplots and Linear Regressions Unit 8. Warm – up!! As you walk in, please pick up your calculator and begin working on your warm – up! 1. Look at.

Learn to create and interpret scatter plots and find the line of best fit. 5.4 Scatter Plots.

Regression and Median Fit Lines

6.7 Scatter Plots. 6.7 – Scatter Plots Goals / “I can…”  Write an equation for a trend line and use it to make predictions  Write the equation for a.

Using the Calculator to Graph Scatter Plots. Everything we just learned about Scatter Plots we will now do with the calculator. Plot points Plot points.

Section 1.3 Scatter Plots and Correlation.  Graph a scatter plot and identify the data correlation.  Use a graphing calculator to find the correlation.

Lines of Best Fit When data show a correlation, you can estimate and draw a line of best fit that approximates a trend for a set of data and use it to.

Goal: I can fit a linear function for a scatter plot that suggests a linear association. (S-ID.6)

UNIT 8 Regression and Correlation. Correlation Correlation describes the relationship between two variables. EX: How much you study verse how well you.

Fitting Lines to Data Points: Modeling Linear Functions Chapter 2 Lesson 2.

The Line of Best Fit CHAPTER 2 LESSON 3  Observed Values- Data collected from sources such as experiments or surveys  Predicted (Expected) Values-

1.) Write an equation for the line containing the following: y-intercept of 6 and has a slope of ¼. 2.) Find the x-intercept and y-intercept of 4x + 2y.

1.6 Modeling Real-World Data with Linear Functions Objectives Draw and analyze scatter plots. Write a predication equation and draw best-fit lines. Use.

Warm – Up: Put the following correlation values in order from weakest to strongest. 0.29, -0.87, -0.41, 0.03, -0.59, -0.92, , 0.29, -0.41, -0.59,

Flashback Use the table that shows the number of goals Pierre scored playing hockey to answer problems 1–3. 1. Using the data from 2001 and 1997,

Linear Regression.

Objectives Fit scatter plot data using linear models with and without technology. Use linear models to make predictions.

Warm Up Practice 6-5 (p. 78) #13, 15, 16, 18, 22, 25, 26, 27, 31 – 36

2.5 Scatter Plots & Lines of Regression

Warm-up Positive, Negative, or No Correlation?

Warm Up 13, 13, 15, 9, 9, 12, 13, 15, 11 Find Q1, Median, and Q3

5.7 Scatter Plots and Line of Best Fit

1.3 Modeling with Linear Functions

Warm-up Positive, Negative, or No Correlation?

Journal Heidi asked 4 people their height and shoe size. Below are the results. 63 inches inches inches inches 8 She concluded that.

Lesson 5.3 How do you write linear equations in point-slope form?

More Correlation Practice

Equations of Lines and Modeling

Write Equations of Lines

y = mx + b Linear Regression line of best fit REMEMBER:

Warm Up 13, 13, 15, 9, 9, 12, 13, 15, 11 Find Q1, Median, and Q3

Flashback Write an equation for the line that satisfies the given conditions. 1) through: (1, 2), slope = 7 2) through: (4, 2), parallel to y =-3/4.

Objectives Vocabulary

SECTION 6.2 Linear Regression

Linear Models We will determine and use linear models, and use correlation coefficients.

More Correlation Practice

Finding Correlation Coefficient & Line of Best Fit

Presentation transcript:

Day 102 – Linear Regression Learning Targets: Students can represent data on a scatter plot, and describe how the variables are related and fit a linear function for a scatter plot that suggests a linear association.

Line of Best Fit Linear Regression by Hand

Creating a Line of Best Fit by Hand – WRITE THESE DOWN! 1.Plot all the data points (Make sure to label x and y-axes) 2.Use the edge of a paper to find the “line of best fit” (You are trying to split the data down the middle – try to go through some points but also have an even amount of points on each side) 3.Find the equation of the line a.You will have to pick two points to find the slope b.then you will have to solve for b by substituting into y = mx + b – use the slope you just found and one of your points for (x,y)

Example 1: The environment club is interested in the relationship between the number of canned beverages sold in the cafeteria and the number of cans that are recycled. The data they collected are listed in this chart. Follow the three steps to find the line of best fit by hand and write it’s equation.

Example 1:

Example 2: Try it own your own!

Line of Best Fit Linear Regression by Calculator See Handout for directions!

Entering Data : TI 36X - Pro 1.DATA (type in data) 2. 2 nd DATA 3. 2 VAR L1 L2 Frequency of 1 Calc 4. a = b = r = 5.The equation of the line is y = a x + b. 6.Correlation Coefficient is r. 7.To predict use a(predict #) + b. Estimated method  You can use the x variable button to find a and b

Entering Data : TI 84 1.STAT – EDIT (type in data) 2. STAT - CALC 3. 4: LinReg(ax+b) 4. a = b = r = 5.The equation of the line is y = a x + b. 6.Correlation Coefficient is r. 7.To predict use a(predict #) + b. Estimated method

Example 3: Biggest thing you guys need to understand is “zeroing out” the x-values. Putting in the years can be too big for the calculator so we make the first year 0 and rename the other years in relation to “year 0”. So, Becomes: Now follow the calculator directions to find the line of best fit.

Example 3 Answer:

Example 4 Answer: TRY IT!

Example 5 Answer: TRY IT!