Paired Data Learning outcomes This work will help you draw a line of best fit on a scatter diagram use a line of best fit to estimate results You will.

Slides:

Advertisements

Similar presentations

5.4 Correlation and Best-Fitting Lines

Advertisements

“Teach A Level Maths” Vol. 2: A2 Core Modules

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

Using Scatter Plots to Identify Relationships Between Variables LG: I can create a scatter plot LG: I can interpret a scatter plot by identifying the dependent.

Unit 4: Linear Relations Minds On 1.Determine which variable is dependent and which is independent. 2.Graph the data. 3.Label and title the graph. 4.Is.

1. A positive correlation. As one quantity increases so does the other. 2. A negative correlation. As one quantity increases the other decreases. 3. No.

Bivariate Data & Scatter Plots Learn to take bivariate data to create a scatter plot for the purpose of deriving meaning from the data.

Lesson 5.7- Statistics: Scatter Plots and Lines of Fit, pg. 298 Objectives: To interpret points on a scatter plot. To write equations for lines of fit.

How Math can Help Solve Crimes

Scatter Diagrams Objectives:

Scatter Diagrams Isabel Smith. Why do we use scatter diagrams?  We use scatter diagrams to see whether two sets of data are linked, e.g. height and shoe.

Mathematics Scatter Graphs.

Scatter Plots – Age and Reaction Time

1 Lesson Shapes of Scatterplots. 2 Lesson Shapes of Scatterplots California Standard: Statistics, Data Analysis, and Probability 1.2 Represent.

2.5 Correlation & Best-Fitting Lines Algebra II Mrs. Spitz Fall 2008.

Learn to create and interpret scatter plots. Course Scatter Plots.

Language for describing correlations Do the data points have a pattern that suggests there is correlation? Can a line of best fit be drawn to show the.

4-7 Scatter Plots Course 3 Lesson Presentation.

Scatter Diagrams Joan Ridgway. When do we use scatter diagrams? When we look at data, we may want to investigate the relationship between two variables.

Scatter Plots A scatter plot is a graph with points plotted to show a relationship between two sets of data. Correlation describes the type of relationship.

Scatter Graphs Teach GCSE Maths x x x x x x x x x x Weight and Length of Broad Beans Length (cm) 3 1·5 Weight (g) 0·5 1.

Product moment correlation

CHAPTER 38 Scatter Graphs. Correlation To see if there is a relationship between two sets of data we plot a SCATTER GRAPH. If there is some sort of relationship.

1) Scatterplots – a graph that shows the relationship between two sets of data. To make a scatterplot, graph the data as ordered pairs.

 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.

Graphs.  Graphs are used to present numerical information in picture form.  Two common types of graphs are bar graphs and broken-line graphs. New Car.

Minds On Do you think a taller person has a longer arm span than a shorter person?

Unit 1 – First-Degree Equations and Inequalities Chapter 2 – Linear Relations and Functions 2.5 – Statistics: Using Scatter Plots.

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

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

2.6 Scatter Diagrams. Scatter Diagrams A relation is a correspondence between two sets of data X is the independent variable Y is the dependent variable.

 It’s important to gather accurate data and to ensure the data is as complete as possible  If you gather the data yourself, it is Primary Data  If.

Section Copyright © 2014, 2012, 2010 Pearson Education, Inc. Chapter 10 Correlation and Regression 10-2 Correlation 10-3 Regression.

Math 8C Unit 3 – Statistics. Unit 3 – Day 1 (U3D1) Standards Addressed: – Create a scatter plot and label any trends and clustering. – Explain why a linear.

Scatter Graphs Scatter graphs are used to show whether there is a relationship between two sets of data. The relationship between the data can be described.

Scatter plots. Like a line graph Has x and y axis Plot individual points.

7.1 Seeking Correlation LEARNING GOAL

11.2 Scatter Plots. Scatter Plots Example: What is the relationship here? Is the data on the x-axis related to the data on the y-axis? Is there a relationship.

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.

Scatter Graphs Statistics Example 1:- The diagram on the next slide shows the marks obtained in both Physics and Maths exams by a number of pupils. Can.

Dr Hidayathulla Shaikh Correlation and Regression.

Linear Models and scatter plots SECTION 1.7. An effective way to see a relationship in data is to display the information as a __________________. It.

Scatter Graphs MENU Leaf Length / Width Car Age / Value Height / Maths Score Summary Which type of correlation ? Questions / Answers Main MENU.

Happy Tuesday Scientists!

Scatter Plots and Correlation Coefficients

SCATTER PLOTS AND LINES OF BEST FIT

Day 38 – Line of Best Fit (Day 2)

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.

Axes Quadrants Ordered Pairs Correlations

Correlations and Lines of Best Fit Scatter Plots

Scatter Plots 8.M.SP.01 I can create and interpret scatter plots and find associations between two quantities.

RELATIONSHIPS Vocabulary scatter plot correlation

Math 8C Unit 3 – Statistics

Scatter Plots and Equations of Lines

14/11/2018 CORRELATION.

Correlation describes the type of relationship between two data sets.

Line of Best Fit.

Day 38 – Line of Best Fit (Day 2)

Topic 8 Correlation and Regression Analysis

Correlation describes the type of relationship between two data sets.

Correlation describes the type of relationship between two data sets.

Scatter Graphs Scatter graphs are used to show whether there is a relationship between two sets of data. The relationship between the data can be described.

Section 3.1 Understanding Linear Trends and Relationships

Correlation describes the type of relationship between two data sets.

Correlation describes the type of relationship between two data sets.

Presentation transcript:

Paired Data Learning outcomes This work will help you draw a line of best fit on a scatter diagram use a line of best fit to estimate results You will revise how to draw scatter diagrams using pairs of data how to recognise the different types of correlation

Connections Sheet G42 has a database about a selection of different models of cars. This is a scatter diagram showing the engine size and top speed of the cars. Describe the relationship between the engine size and top speed of these cars. Are there any cars that have a low top speed for the size of their engine? Are there any cars that have a high top speed for the size of their engine?

Previous Slide This data is available in an Excel file here.here

Lines of best fit Forensic scientists sometimes have to decide what someone looked like by examining individual bones. This scatter diagram shows the heights of some males and the length of their femur (thigh bone). What correlation is their between femur length and height? Roughly how long would you expect a femur to be on a male who is 180 cm tall? Police find a male femur in a pit. It is 42 cm long. How tall would you estimate the owner was? How accurate do you think your estimate is? What would you estimate the height of a male to be if his femur is 65 cm long? How accurate do you think your estimate is?

Correlation There are three different types of correlation Positive correlation Weight Height This scatter graph shows the weights and heights of 10 children. As the weight increases so does the height. This is called positive correlation.

Negative correlation This scatter graph shows the sales of gloves and daily temperatures. As the temperature increases so the sale of gloves decreases This is called negative correlation. Temperature Sales of gloves

Height of teacher Salary No correlation This scatter graph shows the salaries and heights of teachers. There is no relationship between the two. The points are scattered all over. There is no correlation.

Correlation can be strong or weak Strong positive correlation. The points lie in a narrow band. Weak negative correlation. The points lie in a broad band.

When points on a scatter diagram show strong correlation, it can be useful to draw a straight line through them. This is called a line of best fit. Strong positive correlation – worth drawing a line of best fit Weak positive correlation – not worth drawing a line of best fit Weak negative correlation – not worth drawing a line of best fit Strong negative correlation – worth drawing a line of best fit You should draw a line of best fit to look like a ‘spine’ for the points, with roughly the same number of points on each side. The line can be used to estimate new values. But extending the line beyond the given points to estimate values is less reliable.

Drawing conclusions This data shows the weight in kilograms and top speed of the cars in the database. What type of correlation is there between the top speed and weight of these cars? It has been suggested that lighter cars go faster. Does this graph support this hypothesis? Can you suggest an explanation for the correlation here?

Previous Slide

A likely story! In a survey in Sweden a researcher found there was a good positive correlation between the number of storks nesting in a village and the number of babies born in the village. What might explain this?