How Can We Describe the Relationship between two sets of Quantitative Data? 1.

Slides:



Advertisements
Similar presentations
Chapters 14 and 15 – Linear Regression and Correlation
Advertisements

R Squared. r = r = -.79 y = x y = x if x = 15, y = ? y = (15) y = if x = 6, y = ? y = (6)
Linear regression and correlation
Monday, November 9 Correlation and Linear Regression.
Bivariate Data – Scatter Plots and Correlation Coefficient…… Section 3.1 and 3.2.
Correlation Correlation is the relationship between two quantitative variables. Correlation coefficient (r) measures the strength of the linear relationship.
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.
Regression and Correlation
Calculating and Interpreting the Correlation Coefficient ~adapted from walch education.
Simple ideas of correlation Correlation refers to a connection between two sets of data. We will also be able to quantify the strength of that relationship.
Chapter 4 Two-Variables Analysis 09/19-20/2013. Outline  Issue: How to identify the linear relationship between two variables?  Relationship: Scatter.
EOC Practice #27 SPI EOC Practice #27 Using a scatterplot, determine if a linear relationship exists and describe the association between variables.
2.4 Using Linear Models. The Trick: Converting Word Problems into Equations Warm Up: –How many ways can a $50 bill be changed into $5 and $20 bills. Work.
Slides for 2/9 & 2/10 Precalculus. Warm-Up Set 9 Problem 2 Using your calculator, find a line of regression for the following data set, and find the correlation.
1 Dr. Jerrell T. Stracener EMIS 7370 STAT 5340 Probability and Statistics for Scientists and Engineers Department of Engineering Management, Information.
Biostatistics Unit 9 – Regression and Correlation.
Linear Regression When looking for a linear relationship between two sets of data we can plot what is known as a scatter diagram. x y Looking at the graph.
Jon Curwin and Roger Slater, QUANTITATIVE METHODS: A SHORT COURSE ISBN © Thomson Learning 2004 Jon Curwin and Roger Slater, QUANTITATIVE.
In this chapter we will look relationships between two quantitative variables.
Scatterplots October 14, Warm-Up Given the following domain and range in set notation, write the equivalent domain and range in algebraic notation.
Chapter 12 Correlation. What is correlation? When there is a clear relationship or correlation, you can show this by adding a line. This is called the.
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.
1 6.9 Exponential, Logarithmic & Logistic Models In this section, we will study the following topics: Classifying scatter plots Using the graphing calculator.
Further Topics in Regression Analysis Objectives: By the end of this section, I will be able to… 1) Explain prediction error, calculate SSE, and.
Example 1: page 161 #5 Example 2: page 160 #1 Explanatory Variable - Response Variable - independent variable dependent variable.
 Graph of a set of data points  Used to evaluate the correlation between two variables.
2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Slope-Intercept Form Point-Slope.
Correlation Correlation is used to measure strength of the relationship between two variables.
Sec 1.5 Scatter Plots and Least Squares Lines Come in & plot your height (x-axis) and shoe size (y-axis) on the graph. Add your coordinate point to the.
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.
Regression Lines. Today’s Aim: To learn the method for calculating the most accurate Line of Best Fit for a set of data.
Correlation and Regression. Section 9.1  Correlation is a relationship between 2 variables.  Data is often represented by ordered pairs (x, y) and.
Chapter Bivariate Data (x,y) data pairs Plotted with Scatter plots x = explanatory variable; y = response Bivariate Normal Distribution – for.
Section 2.6 – Draw Scatter Plots and Best Fitting Lines A scatterplot is a graph of a set of data pairs (x, y). If y tends to increase as x increases,
Section 5.1: Correlation. Correlation Coefficient A quantitative assessment of the strength of a relationship between the x and y values in a set of (x,y)
Correlation The apparent relation between two variables.
9.1B – Computing the Correlation Coefficient by Hand
Scatter Plots, Correlation and Linear Regression.
Scatter Diagram of Bivariate Measurement Data. Bivariate Measurement Data Example of Bivariate Measurement:
Tables and graphs taken from Glencoe, Advanced Mathematical Concepts.
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.
D O N OW Get a graphing calculator Graph the line: y = -5x + 6 Use the table to find the value of y, when x = 25 View graph using “zoom 6”
You can calculate: Central tendency Variability You could graph the data.
3.2 Correlation. Correlation Measures direction and strength of the linear relationship in the scatterplot. Measures direction and strength of the linear.
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.
Scatterplots Association and Correlation Chapter 7.
.  Relationship between two sets of data  The word Correlation is made of Co- (meaning "together"), and Relation  Correlation is Positive when the.
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.
What do you think of when you hear the word “exponential?”
The coefficient of determination, r 2, is The fraction of the variation in the value of y that is explained by the regression line and the explanatory.
The correlation coefficient, r, tells us about strength (scatter) and direction of the linear relationship between two quantitative variables. In addition,
Bivariate Data – Scatter Plots and Correlation Coefficient……
UNIT 8 Regression and Correlation. Correlation Correlation describes the relationship between two variables. EX: How much you study verse how well you.
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.
$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.
Covariance/ Correlation
Covariance/ Correlation
Covariance/ Correlation
Here is the graph of a function
Welcome! September 29, Homework Quiz 3.3 Homework Questions??
2. Find the equation of line of regression
Section 4.2 How Can We Define the Relationship between two
Correlation and Regression
Introduction to Probability and Statistics Thirteenth Edition
A graphing calculator is required for some problems or parts of problems 2000.
11A Correlation, 11B Measuring Correlation
Correlation.
Covariance/ Correlation
Scatter Plots That was easy Year # of Applications
Presentation transcript:

How Can We Describe the Relationship between two sets of Quantitative Data? 1

2

3

 Here is how to do it by hand: 4

5 xy

6 ElevationTemperature 1542 ft74 F 2238 ft73 F 5426 ft70 F 8634 ft58 F  Calculate the Correlation Coefficient  r =  What does the negative value reveal about the data?

7 ElevationTemperature 1542 ft74 F 2238 ft73 F 5426 ft70 F 8634 ft58 F  Let’s get the TI – 84 to do all this tedious work for us  Web link to a good graphing calculator regression: 