Scatter Plots and Statistics Jeopardy!. Fix with RLSWhat’s misleading? Predict the future value Line of best fitTrends and Outliers 100 200 300 400 500.

Slides:



Advertisements
Similar presentations
5.4 Correlation and Best-Fitting Lines
Advertisements

Correlation and Linear Regression
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.
Business Statistics - QBM117 Scatter diagrams and measures of association.
Essential Question: How do you find the equation of a trend line?
Mr F’s Maths Notes Statistics 8. Scatter Diagrams.
1. Use the data set to create a stem-and-leaf plot. Then find the median and mode. {12, 15, 10, 20, 34, 32, 34, 21, 40, 32, 34, 46, 23} Find the sum or.
Scatter Plots Find the line of best fit In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with.
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.
Grade 6 Data Management Unit
 There are times when an experiment cannot be carried out, but researchers would like to understand possible relationships in the data. Data is collected.
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.
Aron, Aron, & Coups, Statistics for the Behavioral and Social Sciences: A Brief Course (3e), © 2005 Prentice Hall Chapter 3 Correlation and Prediction.
1.6 Scatter Plots and Lines of Best Fit
Linear Regression.
Scatter Plot- another type of visual display used to explore the relationship between two sets of data, represented by unconnected points on a grid. 2.
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.
Trend lines and Lines of best fit.  Statisticians gather data to determine correlations (relationships) between events.  Scatter plots will often show.
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.
Chapter 01 – Section 08 A Preview of Graphs and Functions.
New Seats – Block 1. New Seats – Block 2 Warm-up with Scatterplot Notes 1) 2) 3) 4) 5)
1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x Graph x = -4.
Chapter 3 Section 3.1 Examining Relationships. Continue to ask the preliminary questions familiar from Chapter 1 and 2 What individuals do the data describe?
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.
1.3 The Power of Visualizing Data - Trends. Example 1 a) Create a scatter plot. Year Number of Homicides
Elementary Review over GRAPHS!!! Seriously…students seem to forget this stuff. Outcome 5, Component 2.
Correlation Analysis. A measure of association between two or more numerical variables. For examples height & weight relationship price and demand relationship.
Can I use this data to make a prediction? What does a point represent?
CCSS 8 th Grade: Unit 4 Analyzing & Interpreting Linear Functions and Scatter Plots Group Member Names:
Scatterplots and Correlation Section 3.1 Part 1 of 2 Reference Text: The Practice of Statistics, Fourth Edition. Starnes, Yates, Moore.
Examining Bivariate Data Unit 3 – Statistics. Some Vocabulary Response aka Dependent Variable –Measures an outcome of a study Explanatory aka Independent.
April 1 st, Bellringer-April 1 st, 2015 Video Link Worksheet Link
Warm-Up Put homework at the end of your table Using the “Sample Data Collection” paper, come up with a quantitative question you would like to collect.
Warm-Up Write the equation of each line. A B (1,2) and (-3, 7)
1.9 Comparing Two Data Sets. Revisiting Go For the Gold! 3a) Whose slope is larger? The women’s is growing faster ( m/year > m/year)
WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x Graph x = -4.
Are You Smarter Than a 8 th Grader? 1,000,000 Topic 1 Topic 2 Topic 3 Topic 4 Topic 5 Topic 6 Topic 7 Topic 8 Topic 9 Topic , , ,000.
Unit 6 Review. Median-Median Line Find the median-median line for the following data: (1, 4) (6, 8) (7, 11) (7.5, 10) (8, 9) (9, 12) (9.5, 17) (10, 14)
FHSChapter 11 Scatter Plots and Lines of Best Fit PS.1.AC.4: Apply probability to real-world situation such as weather prediction, game theory, fair division,
Unit 3 Review. Data: – A variable is an attribute that can be measured – One Variable Data: measures only 1 attribute for each data point. – Two Variable.
Quick Start Expectations 1.Fill in planner and HWRS HW: p. 98, #4-5, Get a signature on HWRS 3.On desk: calculator, journal, HWRS, pencil, pen.
Chapter 14: Inference for Regression. A brief review of chapter 4... (Regression Analysis: Exploring Association BetweenVariables )  Bi-variate data.
1 Data Analysis Linear Regression Data Analysis Linear Regression Ernesto A. Diaz Department of Mathematics Redwood High School.
Independent Dependent Scatterplot Least Squares
Discovering Mathematics Week 9 – Unit 6 Graphs MU123 Dr. Hassan Sharafuddin.
MISLEADING GRAPHS. Misleading graphs It is a well known fact that statistics can be misleading. They are often used to prove a point, and can easily be.
Misleading Graphs.
Answer Key Graph # 1 - The graph is misleading because the lower part of the vertical axis is missing, the differences in prices are exaggerated. Graph.
MISLEADING GRAPHS. WHAT IS MISLEADING ABOUT THIS GRAPH?
Scatter Plots Below is a sample scatter plot, can you tell me what they are designed to show.
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.
©2011 Brooks/Cole, Cengage Learning Elementary Statistics: Looking at the Big Picture 1 Lecture 11: Chapter 5, Section 3 Relationships between Two Quantitative.
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.
Ch. 14 – Scatter Plots HOW CAN YOU USE SCATTER PLOTS TO SOLVE REAL WORLD PROBLEMS?
CHAPTER 3 Describing Relationships
CHAPTER 7 LINEAR RELATIONSHIPS
Scatter plots.
Writing About Math Complete 1-5 Silently
SIMPLE LINEAR REGRESSION MODEL
SCATTER PLOTS & LINES OF BEST FIT
Scatter Plots and Lines of best fit
Simple Linear Regression
Simple Linear Regression
Advanced Financial Algebra
Scatterplots and Correlation
CHAPTER 3 Describing Relationships
on back shelf-but do not begin.
A. Draw a trend line. It will be easier to write an equation
Draw Scatter Plots and Best-Fitting Lines
Presentation transcript:

Scatter Plots and Statistics Jeopardy!

Fix with RLSWhat’s misleading? Predict the future value Line of best fitTrends and Outliers

Fix With RLS (100) Carra wants to know how many students at Wheeler eat packed lunches, so she asks 500 people at the grocery store. Address what she should fix with RLS. AnswerHome

Fix With RLS (100) ANSWER R-it is currently random, but she wants to know about Wheeler students, so she should ask at Wheeler L-she did ask a large sample size S-She should ask at Wheeler, not the grocery store. BackHome

Fix With RLS (200) Kayla wants to know how many of her classmates play at least 3 hours of video games a night, so she asks her 10 friends on Kanikapila how many hours they play. Address what she should fix with RLS AnswerHome

Fix With RLS (200) ANSWER (R ) People she asked weren’t random (L) Asked very few people (S) Asked at Kanikapila practice. These students probably play less video games because they sing after school BackHome

Fix With RLS (300) Abra wants to know how many people have gages. Which situation will provide the MOST bias? – (A) asking every 3 rd person at the grocery store – (B) asking every 3 rd person at a jewelry parlor – (C) asking every 5 th person at school – (D) asking every 5 th person at a library AnswerHome

Fix With RLS (300) ANSWER (B) asking every 3 rd person at a jewelry parlor BackHome

Fix With RLS (400) Leila wants to know how many middle school students want to have a longer recess. What situation will provide the LEAST bias? (A) asking students who are tardy after recess (B) asking all 8 th graders (C) asking every 3 rd classmate (D) asking every 2nd person to come to school AnswerHome

Fix With RLS (400) ANSWER (D) asking every 2 nd person to come to school BackHome

Fix With RLS (500) Design a way to measure how many students in the 8 th grade eat peanut butter and jelly sandwiches for lunch. AnswerHome

Fix With RLS (500) ANSWER Answers will vary Example: – (R) ask every 3 rd eighth grader to show up for school – (L) ask the entire 8 th grade population – (S) ask at Wheeler BackHome

What’s Misleading? (100) Answer Home

What’s Misleading? (100)ANSWER The size of the picture of the animals are very different, so even though each picture means 50, it looks like more people own horses than any other animal. BackHome

What’s Misleading? (200) AnswerHome

What’s Misleading? (200)Answer Although the vertical scale starts at 0, it does not go up in even steps. This distorts the graph, and makes it look as though the biggest jump is between 1 and 2, rather than 3 and 4. Also, there are no labels on the axes, so we have no idea what this graph represents! BackHome

What’s Misleading? (300) AnswerHome

What’s Misleading? (300)ANSWER From this graph, it looks as though house prices have tripled in one year! It is misleading because the vertical axis does not start at 0. BackHome

What’s Misleading? (400) AnswerHome

What’s Misleading? (400)ANSWER There is no scale on the vertical axis and, because of the perspective, it looks as though sales for 1995 were far greater than those for any other year. In fact, they were identical to those in BackHome

What’s Misleading? (500) AnswerHome

What’s Misleading? (500) ANSWER The cars, trucks and semis are all different sizes, so it looks like there are more trucks and semis than there are. BackHome

Predict the Future Value (100) Predict the value of the German Mark if the French Mark is at 100. AnswerHome

Predict the Future Value (100) Answer Around 105 – (100, 105) Acceptable answers 100 – 120 BackHome

Predict the Future Value (200) Predict the hours of sleep if you drink 10 cups of coffee. AnswerHome

Predict the Future Value (200) ANSWER Around 1.5 – (10, 1.5) Acceptable Answers between 1 and 2. BackHome

Predict the Future Value (300) Line of best fit: y = 3x – 35 Predict the y value when x is 14. AnswerHome

Predict the Future Value (300) ANSWER y = 7 (14, 7) BackHome

Predict the Future Value (400) Slope: 2 Y-intercept: -28 Predict the value of y when x is 45 AnswerHome

Predict the Future Value (400) ANSWER 62 (45, 62) Line of best fit: y = 2x – 28 BackHome

Predict the Future Value (500) The line of best fit goes through the points (3, 9) and (12, 27). Predict the value of y when x is 15. AnswerHome

Predict the Future Value (500) ANSWER 33 (15, 33) Line of best fit: y = 2x + 3 BackHome

Line of Best Fit (100) Is y =.5x a good estimate for this line? AnswerHome

Line of Best Fit (100) ANSWER No, the slope matches, but the y-intercept is slightly too high. BackHome

Line of Best Fit (200) Is this a good line of best fit? AnswerHome

Line of Best Fit (200) ANSWER No, the data is not spread above and below the line evenly Cannot use the line to estimate where most points will fall on the line. BackHome

Line of Best Fit (300) What type of correlation would you expect to see if you were measuring the number of cats (x) vs. the number of mice (y) in a farmer’s barn? AnswerHome

Line of Best Fit (300) ANSWER Negative correlation. As the number of cats increases (x) the number of mice in the barn (y) will decrease. BackHome

Line of Best Fit (400) A line of best fit goes through the points (4, 18) and (12, 34). What is the equation of the line of best fit? AnswerHome

Line of Best Fit (400) ANSWER Y = 2x + 10 BackHome

Line of Best Fit (500) A line of best fit goes through the points (7, 11) and (2, -5). What is the equation of the line of best fit? AnswerHome

Line of Best Fit (500) ANSWER Y = 3.2x – 11.4 BackHome

Trends and Outliers (100) Describe the correlation seen in the graph to the left. AnswerHome

Trends and Outliers (100)ANSWER Positive correlation Can’t be “no correlation” because they follow an upward pattern and there are no values in the lower right to suggest no connection. BackHome

Trends and Outliers (200) Are there any outliers? If so, identify them by location. If not, explain how you know. AnswerHome

Trends and Outliers (200) ANSWER There are no outliers. The data is tightly clustered around the line.

Trends and Outliers (300) Which graph shows the relationship between a dog’s age and how fast it can run? AnswerHome

Trends and Outliers (300) ANSWER C As the dog gets older, it can’t run as fast. BackHome

Trends and Outliers (400) Could I describe the relationship in this graph as “the fewer years you work, the less income you make”? AnswerHome

Trends and Outliers (400) ANSWER YES Remember, the word “less” is tricky. Avoid it to avoid making mistakes. BackHome

Trends and Outliers (500) Sketch a graph of the correlation between the hours of daylight (x) and the number of surfers on the water (y). AND describe if this would be a strong or weak correlation AnswerHome

Trends and Outliers (500) ANSWER Fairly strong. People don’t surf when it’s dark. BackHome