Solution to Problem 2.25 DS-203 Fall 2007.

Slides:

Advertisements

Similar presentations

SCATTERPLOT AND PERSONS PRODUCT- MOMENT CORRELATION COEFFICIENT. EXERCISE 2E AND 2F.

Advertisements

Chapter 3 Examining Relationships Lindsey Van Cleave AP Statistics September 24, 2006.

Scatterplots and Correlation

3.1b Correlation Target Goal: I can determine the strength of a distribution using the correlation. D2 h.w: p 160 – 14 – 18, 21, 26.

CHAPTER 4: Scatterplots and Correlation. Chapter 4 Concepts 2  Explanatory and Response Variables  Displaying Relationships: Scatterplots  Interpreting.

CHAPTER 4: Scatterplots and Correlation

Characteristics of Scatterplots

Correlation and Regression. Relationships between variables Example: Suppose that you notice that the more you study for an exam, the better your score.

Aim: How do we use SPSS to create and interpret scatterplots? SPSS Assignment 1 Due Friday 2/12.

Calculating and Interpreting the Correlation Coefficient ~adapted from walch education.

MATH 1107 Elementary Statistics Lecture 6 Scatterplots, Association and Correlation.

A P STATISTICS LESSON 3 – 2 CORRELATION.

CHAPTER 4: Scatterplots and Correlation ESSENTIAL STATISTICS Second Edition David S. Moore, William I. Notz, and Michael A. Fligner Lecture Presentation.

Examining Relationships

Scatterplots October 14, Warm-Up Given the following domain and range in set notation, write the equivalent domain and range in algebraic notation.

Unit 3.1 Scatter Plots & Line of Best Fit. Scatter Plots Scatter Plots are graphs of (X,Y) data They are constructed to show a mathematical relationship.

Example 1: page 161 #5 Example 2: page 160 #1 Explanatory Variable - Response Variable - independent variable dependent variable.

Max temp v min temp. It can be seen from the scatterplot that there is a correlation between max temp and min temp. Generally, as min temp increases,

 Graph of a set of data points  Used to evaluate the correlation between two variables.

Scatterplots are used to investigate and describe the relationship between two numerical variables When constructing a scatterplot it is conventional to.

CHAPTER 4: Scatterplots and Correlation ESSENTIAL STATISTICS Second Edition David S. Moore, William I. Notz, and Michael A. Fligner Lecture Presentation.

The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers CHAPTER 3 Describing Relationships 3.1 Scatterplots.

Lecture PowerPoint Slides Basic Practice of Statistics 7 th Edition.

Correlations: Relationship, Strength, & Direction Scatterplots are used to plot correlational data – It displays the extent that two variables are related.

Regression and Least Squares The need for a mathematical construct… Insert fig 3.8.

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)

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.

Chapter 4 Scatterplots and Correlation. Chapter outline Explanatory and response variables Displaying relationships: Scatterplots Interpreting scatterplots.

What Do You See?. A scatterplot is a graphic tool used to display the relationship between two quantitative variables. How to Read a Scatterplot A scatterplot.

.  Relationship between two sets of data  The word Correlation is made of Co- (meaning "together"), and Relation  Correlation is Positive when the.

Differential Equations Linear Equations with Variable Coefficients.

Notes Chapter 7 Bivariate Data. Relationships between two (or more) variables. The response variable measures an outcome of a study. The explanatory variable.

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.

GOAL: I CAN USE TECHNOLOGY TO COMPUTE AND INTERPRET THE CORRELATION COEFFICIENT OF A LINEAR FIT. (S-ID.8) Data Analysis Correlation Coefficient.

Chapter 2 Bivariate Data Scatterplots.   A scatterplot, which gives a visual display of the relationship between two variables.   In analysing the.

Part II: Two - Variable Statistics

Calculating the correlation coefficient

CHAPTER 3 Describing Relationships

Scatterplots, Association, and Correlation

Ch. 10 – Linear Regression (Day 2)

Two Quantitative Variables

CHAPTER 3 Describing Relationships

Cautions about Correlation and Regression

Suppose the maximum number of hours of study among students in your sample is 6. If you used the equation to predict the test score of a student who studied.

Scatterplots, Association, and Correlation

9.1 Scatterplot: (add onto yesterday’s notes)

EQ: How well does the line fit the data?

The Linear Correlation Coefficient

The Weather Turbulence

Investigation 4 Students will be able to identify correlations in data and calculate and interpret standard deviation.

two variables two sets of data

Introduction to Probability and Statistics Thirteenth Edition

Scatterplots and Correlation

The Least-Squares Line Introduction

Warm Up The following data lists the prices of 12 different bicycle helmets along with the quality rating. Make a scatterplot of the data (price is the.

CHAPTER 3 Describing Relationships

CHAPTER 3 Describing Relationships

CHAPTER 3 Describing Relationships

CHAPTER 3 Describing Relationships

CHAPTER 3 Describing Relationships

CHAPTER 3 Describing Relationships

CHAPTER 3 Describing Relationships

CHAPTER 3 Describing Relationships

Correlation & Trend Lines

Statistics 101 CORRELATION Section 3.2.

Plan for Today: Chapter 14: Describing Relationships: Scatterplots and Correlation.

Correlation Coefficient

CHAPTER 3 Describing Relationships

3.2 Correlation Pg

Presentation transcript:

Solution to Problem 2.25 DS-203 Fall 2007

Calculating Correlation Coefficient ( r )

Calculating Correlation Coefficient ( r )

Calculating Correlation Coefficient ( r )

Calculating Correlation Coefficient ( r )

Calculating Correlation Coefficient ( r )

Calculating Correlation Coefficient ( r ) This scatterplot shows a clear positive linear relationship. The correlation coefficient is 0.898, which indicates a strong linear relationship. There do not appear to be any extreme outliers from the linear pattern.