Linear Correlation and Regression

Slides:

Advertisements

Similar presentations

Graphing the Line of Best Fit Sensei By: Gene Thompson, PHS Edited: John Boehringer, PHS.

Advertisements

1.5 Scatter Plots and Least Squares Lines

TI Calculator Creating a Scatterplot … Step #1 – Enter the Data

Using TI graphing calculators

A recent newspaper article reported that the number of personal computers being sold is increasing. In addition, the number of athletic shoes being sold.

Section 10-3 Regression.

Lesson Diagnostics on the Least- Squares Regression Line.

Bivariate Data – Scatter Plots and Correlation Coefficient…… Section 3.1 and 3.2.

5-7: Scatter Plots & Lines of Best Fit. What is a scatter plot?  A graph in which two sets of data are plotted as ordered pairs  When looking at the.

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.

C HAPTER 3: E XAMINING R ELATIONSHIPS. S ECTION 3.3: L EAST -S QUARES R EGRESSION Correlation measures the strength and direction of the linear relationship.

Scatter Plots and Line of Best Fit. DETERMINING THE CORRELATION OF X AND Y In this scatter plot, x and y have a positive correlation, which means that.

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.

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

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

Objective: I can write linear equations that model real world data.

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

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.

Warm Up Write the equation of the line passing through each pair of passing points in slope-intercept form. 1. (5, –1), (0, –3) 2. (8, 5), (–8, 7) Use.

Academy Algebra II 4.2: Building Linear Functions From Data HW: p (3-8 all,18 – by hand,20 – calc) Bring your graphing calculator to class on Monday.

Section 4.1 Scatter Diagrams and Correlation. Definitions The Response Variable is the variable whose value can be explained by the value of the explanatory.

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

For all work in this unit using TI 84 Graphing Calculator the Diagnostics must be turned on. To do so, select CATALOGUE, use ALPHA key to enter the letter.

Scatter Plots, Correlation and Linear Regression.

Scatter Plots The accompanying table shows the number of applications for admissions that a college received for certain years. Create a scatter plot.

2.5 Using Linear Models A scatter plot is a graph that relates two sets of data by plotting the data as ordered pairs. You can use a scatter plot to determine.

9.1 - Correlation Correlation = relationship between 2 variables (x,y): x= independent or explanatory variable y= dependent or response variable Types.

Sec. 2-4: Using Linear Models. Scatter Plots 1.Dependent Variable: The variable whose value DEPENDS on another’s value. (y) 2.Independent Variable: The.

When you finish your assessment In 2-3 complete sentences answer each question 1. How is the first unit going for you so far in this class? 2. If you are.

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.

AP Statistics HW: p. 165 #42, 44, 45 Obj: to understand the meaning of r 2 and to use residual plots Do Now: On your calculator select: 2 ND ; 0; DIAGNOSTIC.

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.

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.

Unit 3 Section : Regression Lines on the TI  Step 1: Enter the scatter plot data into L1 and L2  Step 2 : Plot your scatter plot  Remember.

Scatter Plot A scatter plot is a graph of a collection of ordered pairs (x,y). The ordered pairs are not connected The graph looks like a bunch of dots,

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.

Welcome to Algebra 2! Get out your homework Get out catalogs Get out writing utensils Put bags on the floor Be quiet!!! 3/2/ : Curve Fitting with.

 This lesson covers two methods for finding an equation for a line that roughly models a set of data.  The first way is to eyeball a possible line,

Scatter Plots & Lines of Best Fit To graph and interpret pts on a scatter plot To draw & write equations of best fit lines.

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

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

Welcome to . Week 12 Thurs . MAT135 Statistics.

2.5 Scatter Plots & Lines of Regression

Graphic display of data

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

we use a TI-82 to find the equation:

Warm Up Please sit down and clear your desk. Do not talk. You will have until lunch to finish your quiz.

Lesson 4.1 Bivariate Data Today, we will learn to …

Scatter Plots and Best-Fit Lines

Do Now Create a scatterplot following these directions

Graphic display of data

4.9 Modeling with Polynomial Functions

Scatter Plots and Line of Best Fit

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.

Which graph best describes your excitement for …..

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

Section 1.3 Modeling with Linear Functions

Section 11.1 Correlation.

Scatter Plots That was easy Year # of Applications

Presentation transcript:

Linear Correlation and Regression Using the TI-83 or TI-84

Finding “r” and the trend line equation by using the calculator…… Temp. Emergency Calls 68 7 74 4 82 8 88 10 93 11 99 9 101 13 Before we begin, make sure that your diagnostic is turned on: Press 2nd 0 Scroll down to diagnostic on Press Enter twice

Calculator Steps: Put x’s in L1 and y’s in L2. Press Stat Calc 4:LinReg Vars Y-Vars 1:Function Enter Enter You should see all data.

Correlation Coefficient “r” is equal to .811. The trend line equation is y = .19x – 7.54

a. Explain the meaning of the y-intercept . Temp. Emergency Calls 68 7 74 4 82 8 88 10 93 11 99 9 101 13 In the equation y = .19x – 7.54 a. Explain the meaning of the y-intercept . b. Explain the meaning of the slope.

Equation: y = .19x – 7.54 Temp. Emergency Calls 68 7 74 4 82 8 88 10 93 11 99 9 101 13 A. The number of emergency phone calls when the temp is 0. B. The number of emergency phone calls increases .19 for every degree increase in temperature. (The # of calls/degree temp increase)

You can also graph it…… The equation for the trend line is now in Press zoom 9 to see the scatter plot and the trend line.

You try…… Find: a. Correlation coefficient b. Trend line equation Graph on graphing calculator. Explain the meaning of the y-int and the slope. Absences Final Grade 6 82 2 86 15 43 9 74 12 58 5 90 8 78

Absences Final Grade 6 82 2 86 15 43 9 74 12 58 5 90 8 78

Correlation Coefficient: -.944 Equation: y = -3.62x + 102.5

Equation: y = -3.62x + 102.5 Meaning of Y-Intercept: Absences Final Grade 6 82 2 86 15 43 9 74 12 58 5 90 8 78 Meaning of Y-Intercept: The final grade when a student has 0 absences. (102.5) Meaning of slope: Final grade/absence – the grade decreases (3.62) for every absence made

Example…… Max used linear regression to help him understand the relationship between the temp and the number of ice cream cones sold. The line of best fit was y = 5x + 60, where x is the # of ice cream cones sold and y is the temp in degrees F. In terms of ice cream cones sold and temp answer the following.

Equation: y = 5x + 60 Explain the meaning of the y-intercept: The temperature (60 degree F) when no ice cream cones are sold. Explain the meaning of the slope: The temperature increases 5 degrees F for every ice cream cone sold. (Temp/# sold)

Assignment…… Use ONLY the TI-83 or TI-84 to find the values on the HW assignment.