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

Slides:

Advertisements

Similar presentations

5.4 Correlation and Best-Fitting Lines

Advertisements

Section 6.1: Scatterplots and Correlation (Day 1).

Vocabulary scatter plot Correlation (association)

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.

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.

IDENTIFY PATTERNS AND MAKE PREDICTIONS FROM SCATTER PLOTS.

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.

SCATTER PLOTS AND LINES OF BEST FIT

Grade 6 Data Management Unit

4.5 S CATTER P LOTS AND T REND L INES Create and interpret scatter plots. Use trend lines to make predictions. Objectives scatter plot correlation positive.

Scatter Plots – Age and Reaction Time

EXAMPLE 1 Describe the correlation of data Describe the correlation of the data graphed in the scatter plot. a. The scatter plot shows a positive correlation.

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

Scatterplots Grade 8: 4.01 & 4.02 Collect, organize, analyze and display data (including scatter plots) to solve problems. Approximate a line of best fit.

Chapter Scatter plots. SAT Problem of the day  Nicoletta deposits $150 in her savings account. If this deposit represents a 12 percent increase.

EOC Practice #27 SPI EOC Practice #27 Using a scatterplot, determine if a linear relationship exists and describe the association between variables.

1.6 Scatter Plots and Lines of Best Fit

Scatter Plots: Review & New Terms

3-5 Scatter Plots and Trend Lines Holt Algebra 1

Linear Regression.

Section 4.8 Line of Best Fit. Let’s make a scatter plot on the board together. 1.) Think of how old you are in months, and your shoe size. 2.) Plot on.

Linear Models and Scatter Plots Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 x 24 –2–2 – 4 y A scatter plot.

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.

  Scatterplots show the relationship between two variables. Ex: Temp vs. Test scores, Students vs. lunch cost Gas prices vs. people who drive to work.

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.

Linear Models and Scatter Plots Objectives Interpret correlation Use a graphing calculator to find linear models and make predictions about data.

Section 2.5 – Linear Models. Essential Understanding Sometimes it is possible to model data from a real-world situation with a linear equation. You can.

© 2008 Pearson Addison-Wesley. All rights reserved Chapter 1 Section 13-6 Regression and 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.

Scatter Plots Objective: Determine the correlation of a scatter plot.

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

Warm Up Graph each point. 1. A(3, 2) 3. C(–2, –1) 5. E(1, 0) 2. B( – 3, 3) 4. D(0, – 3) 6. F(3, – 2)

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

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.

Correlation & Regression Chapter 15. Correlation It is a statistical technique that is used to measure and describe a relationship between two variables.

Chapter 11 Correlation and Simple Linear Regression Statistics for Business (Econ) 1.

Describing Relationships Using Correlations. 2 More Statistical Notation Correlational analysis requires scores from two variables. X stands for the scores.

Draw Scatter Plots and Best-Fitting Lines Section 2.6.

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

Relationships Scatterplots and correlation BPS chapter 4 © 2006 W.H. Freeman and Company.

Chapter 2 – Linear Equations and Functions

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

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,

 P – 60 5ths  APPLY LINEAR FUNCTIONS  X-axis time since purchase  Y-axis value  Use two intercepts (0, initial value) and (time until value.

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.

Holt McDougal Algebra Scatter Plots and Trend Lines 3-5 Scatter Plots and Trend Lines Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation.

Holt Algebra Scatter Plots and Trend Lines 4-5 Scatter Plots and Trend Lines Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation.

Linear Best Fit Models Learn to identify patterns in scatter plots, and informally fit and use a linear model to solve problems and make predictions as.

Section 1.3 Scatter Plots and Correlation.  Graph a scatter plot and identify the data correlation.  Use a graphing calculator to find the correlation.

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

Year Sport Utility Vehicles (SUVs) Sales in U.S. Sales (in Millions)

Chapter – Scatter Plots and Correlation. Scatter plot – graph of a set of data pairs (x, y) Correlation – relationship between the ordered pairs.

4.4 – SCATTER PLOTS AND LINES OF FIT Today’s learning goal is that students will be able to: interpret scatter plots, identify correlations between data.

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

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

STATISTICS: USING SCATTER PLOTS CHAPTER 2 LESSON 5.

Using Appropriate Displays. The rabbit’s max speed is easier to find on the ________. The number of animals with 15 mph max speed or less was easier to.

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.

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

Interpret Scatterplots & Use them to Make Predictions

Scatter Plots and Equations of Lines

2.6 Draw Scatter Plots and Best-Fitting Lines

Lesson Objectives: I will be able to …

Objective: Interpret Scatterplots & Use them to Make Predictions.

Draw Scatter Plots and Best-Fitting Lines

Scatter Plots That was easy Year # of Applications

Presentation transcript:

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

2) Positive Association (correlation) – as one set of values increases, the other set of data tends to increase.

3) Negative Association (correlation) – as one set of values increases, the other set of date tends to decrease.

4) No Association (correlation) – the values show no relationship.

5) Nonlinear Association – the ordered pairs are related, but do not resemble a straight line.

Nonlinear Association

Positive Association

No Association

Negative Association

No Association

Positive Association

Nonlinear Association

Negative Association

6) Outliers – are data points with values that are significantly different from the other data points in the set.

Is there a relationship shown in the graph? Yes. There is a positive linear association shown in the graph. Describe the relationship shown. As the daily temperature to increases, the number of visitors to the beach tends to increase also. What does the point (88, 450) represent? At a temperature of 88°, there would be about 450 visitors at the beach.

Is there a relationship shown in the graph? Yes. There is a negative linear association shown in the graph. Describe the relationship shown. As the age of cars increases, the value of the car tends to decrease. What does the point (10, 6) represent? A car that is 10 years old has a value of $6,000.

Is there a relationship shown in the graph? Yes. There is no association shown in the graph. The points appear to re random and scattered. Describe the relationship shown. The is no relationship between shoe sizes and colors in the rainbow.

Is there a relationship shown in the graph? Yes. There is a negative linear association shown in the graph. Describe the relationship shown. As a person’s self esteem decreases, usually depression tends to increase.

Is there a relationship shown in the graph? Yes. There is a no linear association shown in the graph. Describe the relationship shown. There is no relationship between shoe size and IQ.

Is there a relationship shown in the graph? Yes. There is a negative linear association shown in the graph. Describe the relationship shown. As a person’s years of experience goes up, their income also tends to increase. What does the point (40, 78) represent? At 40 years, a person’s income would be at $78,000.

7) Line of Best Fit (Trend Line) – are used if there is a linear association. They show the general trend of the data. There is usually no line that will fit every data point exactly, but the line should be as close to as many of the points on the scatterplot as possible.

7) Line of Best Fit (Trend Line) – are most helpful with making predictions about the date in scatterplots. What could be the amount of money at a temperature of 21°?

7) Line of Best Fit (Trend Line) – are most helpful with making predictions about the date in scatterplots. What could be the score on the Bar Exam if someone studies for 2 days? A person would likely score around an 8 on their Bar Exam if they only study for two days.

Does the trend line on the right show an appropriate trend line for the graph? No. This is not a good trend line because it is only close to the top points.

Does the trend line on the right show an appropriate trend line for the graph? No. This is not a good trend line because it is not going through all of the points on the graph.

Does the trend line on the right show an appropriate trend line for the graph? Yes. This is a good trend line because it is going through all of the points and is close to all of the points.

Does the trend line on the right show an appropriate trend line for the graph? No. This is not a good trend line because it is only close to the bottom points.

A is not a good line because it is closer to the top of all of the points. B is not a good line because it is not going through all of the points. C is a good line because it is going through all the points and is close to many of the points. D is not a good line because it is closer to the bottom of all of the points.

How much might a person’s salary be if they are employed for 6 years at Company Z?

7) Line of Best Fit (Trend Line) – are most helpful with making predictions about the date in scatterplots. Suppose that someone listed a car for sale that is 4 years old. Make a prediction about the selling price. Step 1 – Draw a line of best fit to show the general fit of the line. Step 2 – Use the line to predict the selling price for a 4-year old car.