Bivariate Data AS 90425 Complete a statistical investigation involving bi-variate data.

Slides:

Advertisements

Similar presentations

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

Advertisements

Bivariate Data Report Structure.

Section 6.1: Scatterplots and Correlation (Day 1).

5/17/2015Chapter 41 Scatterplots and Correlation.

IDENTIFY PATTERNS AND MAKE PREDICTIONS FROM SCATTER PLOTS.

Chapter 7 Scatterplots, Association, and Correlation Stats: modeling the world Second edition Raymond Dahlman IV.

Chapter 3 Describing Bivariate Data General Objectives: Sometimes the data that are collected consist of observations for two variables on the same experimental.

Chapter 14 – Correlation and Simple Regression Math 22 Introductory Statistics.

Quantitative Data Essential Statistics. Quantitative Data O Review O Quantitative data is any data that produces a measurement or amount of something.

Quantitative assessment of the strength of the relationship between x & y. It is the measure of the extent to which x & y are linearly related. *It is.

Prior Knowledge Linear and non linear relationships x and y coordinates Linear graphs are straight line graphs Non-linear graphs do not have a straight.

LECTURE UNIT 7 Understanding Relationships Among Variables Scatterplots and correlation Fitting a straight line to bivariate data.

New Seats – Block 1. New Seats – Block 2 Warm-up with Scatterplot Notes 1) 2) 3) 4) 5)

BPS - 3rd Ed. Chapter 41 Scatterplots and Correlation.

Bivariate Data When two variables are measured on a single experimental unit, the resulting data are called bivariate data. You can describe each 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.

Using Recursion in Models and Decision Making MAMDM4a-b

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

Bivariate data are used to explore the relationship between 2 variables. Bivariate Data involves 2 variables. Scatter plots are used to graph bivariate.

Objectives 2.1Scatterplots  Scatterplots  Explanatory and response variables  Interpreting scatterplots  Outliers Adapted from authors’ slides © 2012.

Bivariate Data analysis. Bivariate Data In this PowerPoint we look at sets of data which contain two variables. Scatter plotsCorrelation OutliersCausation.

Bivariate Data Analysis Bivariate Data analysis 4.

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

What do you see in these scatter plots? Latitude (°S) Mean January Air Temperatures for 30 New Zealand Locations Temperature.

Scatterplots and Correlations

Bivariate Data AS (3 credits) Complete a statistical investigation involving bi-variate data.

3.2: Linear Correlation Measure the strength of a linear relationship between two variables. As x increases, no definite shift in y: no correlation. As.

April 1 st, Bellringer-April 1 st, 2015 Video Link Worksheet Link

Correlation and Regression: The Need to Knows Correlation is a statistical technique: tells you if scores on variable X are related to scores on variable.

Quantitative assessment of the strength of the relationship between x & y. It is the measure of the extent to which x & y are linearly related. *It is.

Data Analysis I can investigate patterns of association in bivariate data. LINES OF BEST FIT.

Statistics: Analyzing 2 Quantitative Variables MIDDLE SCHOOL LEVEL  Session #2  Presented by: Dr. Del Ferster.

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.

Quantitative Bivariate EDASlide #1 Bivariate EDA Describe the relationship between pairs of variables Four characteristics to describe Association (Direction)

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

Lecture 8 Sections Objectives: Bivariate and Multivariate Data and Distributions − Scatter Plots − Form, Direction, Strength − Correlation − Properties.

Chapter 4 Scatterplots – Descriptions. Scatterplots Graphical display of two quantitative variables We plot the explanatory (independent) variable on.

Chapter 9 Scatter Plots and Data Analysis LESSON 1 SCATTER PLOTS AND ASSOCIATION.

Chapter 5 Lesson 5.1a Summarizing Bivariate Data 5.1a: Correlation.

Lecture 3 – Sep 3. Normal quantile plots are complex to do by hand, but they are standard features in most statistical software. Good fit to a straight.

Scatter plots Adapted from 350/

Scatter Plots. Standard: 8.SP.1 I can construct and interpret scatterplots.

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

SCATTER PLOTS. Presented by Andrew Crosby, Dominique Brown, and Veronica Coronado a. Compare and contrast two scatter plots through DOFS, using comparing.

Unit 3 – Association: Contingency, Correlation, and Regression Lesson 3-2 Quantitative Associations.

MATH 2311 Section 5.4. Residuals Examples: Interpreting the Plots of Residuals The plot of the residual values against the x values can tell us a lot.

CCSS.Math.Content.8.SP.A.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities.

Going Crackers! Do crackers with more fat content have greater energy content? Can knowing the percentage total fat content of a cracker help us to predict.

Correlation Correlation measures the strength of the linear association between two quantitative variables Get the correlation coefficient (r) from your.

Describing Scatterplots

Correlation and Association

Two Quantitative Variables

i.e. How to get an A on the big project I’m about to assign you…

Bivariate Data.

Review for Test Chapters 1 & 2:

Chapter 3: Linear models

Eugenie Chung Covering Unit 9

What do you see in these scatter plots?

Scatter Plots and Equations of Lines

AGENDA: Quiz # minutes Begin notes Section 3.1.

Chapter 7 Part 1 Scatterplots, Association, and Correlation

The Weather Turbulence

Scatterplots and Correlation

Bivariate Data analysis

Examining Relationships

Scatter Plots Unit 11 B.

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

Bivariate Data.

Presentation transcript:

Bivariate Data AS Complete a statistical investigation involving bi-variate data.

Scatter Plots The scatter plot is the basic tool used to investigate relationships between two quantitative variables. Types of Variables Quantitative (measurements/ counts) Qualitative (groups)

What do I see in these scatter plots? There appears to be a linear trend. There appears to be moderate constant scatter about the trend line. Negative Association. No outliers or groupings visible Latitude (°S) Mean January Air Temperatures for 30 New Zealand Locations Temperature (°C)

What do I see in these scatter plots? There appears to be a non-linear trend. There appears to be non-constant scatter about the trend line. Positive Association. One possible outlier (Large GDP, low % Internet Users). Internet Users (%) % of population who are Internet Users vs GDP per capita for 202 Countries

What do I see in these scatter plots? Two non-linear trends (Male and Female). Very little scatter about the trend lines Negative association until about 1970, then a positive association. Gap in the data collection (Second World War).

What do I look for in scatter plots? Trend Do you see a linear trend… straight line OR a non-linear trend?

What do I look for in scatter plots? Trend Do you see a linear trend… straight line OR a non-linear trend?

What do I look for in scatter plots? Trend Do you see a positive association… as one variable gets bigger, so does the other OR a negative association? as one variable gets bigger, the other gets smaller

What do I look for in scatter plots? Trend Do you see a positive association… as one variable gets bigger, so does the other OR a negative association? as one variable gets bigger, the other gets smaller

What do I look for in scatter plots? Scatter Do you see a strong relationship… little scatter OR a weak relationship? lots of scatter

What do I look for in scatter plots? Scatter Do you see a strong relationship… little scatter OR a weak relationship? lots of scatter

What do I look for in scatter plots? Scatter Do you see constant scatter… roughly the same amount of scatter as you look across the plot or non-constant scatter? the scatter looks like a “fan” or “funnel”

What do I look for in scatter plots? Scatter Do you see constant scatter… roughly the same amount of scatter as you look across the plot or non-constant scatter? the scatter looks like a “fan” or “funnel”

What do I look for in scatter plots? Anything unusual Do you see any outliers? unusually far from the trend any groupings?

What do I look for in scatter plots? Anything unusual Do you see any outliers? unusually far from the trend any groupings?

Rank these relationships from weakest (1) to strongest (4):

Rank these relationships from weakest (1) to strongest (4): How did make your decisions? The less scatter there is about the trend line, the stronger the relationship is.

Describing scatterplots Trend – linear or non linear Trend – positive or negative Scatter – strong or weak Scatter – constant or non constant Anything unusual – outliers or groupings