Stopping distance Subtitle. Some Review questions and topics You should know the content of these slides. Computations can be done on your calculator.

Slides:



Advertisements
Similar presentations
1.5 Scatter Plots and Least Squares Lines
Advertisements

Section 10-3 Regression.
Objectives Fit scatter plot data using linear models with and without technology. Use linear models to make predictions.
Cover 1.4 if time; non-Algebra 2 objective
Calculating Slope Y-interceptWhat’s that line? What’s that graph? Vocabulary $ $ $ $ $ $ $ $ $
LSRL Least Squares Regression Line
FACTOR THE FOLLOWING: Opener. 2-5 Scatter Plots and Lines of Regression 1. Bivariate Data – data with two variables 2. Scatter Plot – graph of bivariate.
REGRESSION Predict future scores on Y based on measured scores on X Predictions are based on a correlation from a sample where both X and Y were measured.
Physics 151 Week 5 Day 2 Topics  Using Motion Models  Pictorial (a.k.a Picture) diagram  Solving Motion Problems using Strategic Problem Solving (SPS)
Least Squares Regression
The slope-intercept form of a linear equation of a non-vertical line is given by: Slope-Intercept Form of a Linear Equation.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
1 1 Slide Simple Linear Regression Chapter 14 BA 303 – Spring 2011.
Linear Regression.
Copyright © Cengage Learning. All rights reserved.
Topic 2: Linear Equations and Regression
Biostatistics Unit 9 – Regression and Correlation.
Researchers, such as anthropologists, are often interested in how two measurements are related. The statistical study of the relationship between variables.
Dr. Fowler AFM Unit 8-5 Linear Correlation Be able to construct a scatterplot to show the relationship between two variables. Understand the properties.
2.4 Using Linear Models. Slope is “rate of change” Examples: Look for KEY words! 23 miles per gallon 20 gallons/second 3 inches each year $3 a ticket.
Warm Up Write the equation of the line passing through each pair of passing points in slope-intercept form. 1. (5, –1), (0, –3) 2. (8, 5), (–8, 7) Use.
2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Slope-Intercept Form Point-Slope.
Do Now 12/3/09 Take out HW from last night. -Text p. 328, #3-6, 8-12 evens, 16 & 17 (4 graphs) Copy HW in planner. - Text p. 338, #4-14 evens, 18 & 20.
3.2 Least Squares Regression Line. Regression Line Describes how a response variable changes as an explanatory variable changes Formula sheet: Calculator.
CHAPTER 3 INTRODUCTORY LINEAR REGRESSION. Introduction  Linear regression is a study on the linear relationship between two variables. This is done by.
Objective: Understanding and using linear regression Answer the following questions: (c) If one house is larger in size than another, do you think it affects.
STATISTICS 12.0 Correlation and Linear Regression “Correlation and Linear Regression -”Causal Forecasting Method.
Unit 1 – First-Degree Equations and Inequalities Chapter 2 – Linear Relations and Functions 2.5 – Statistics: Using Scatter Plots.
3.2 - Least- Squares Regression. Where else have we seen “residuals?” Sx = data point - mean (observed - predicted) z-scores = observed - expected * note.
Scatter Diagrams Objective: Draw and interpret scatter diagrams. Distinguish between linear and nonlinear relations. Use a graphing utility to find the.
Get out the Notes from Monday Feb. 4 th, Example 2: Consider the table below displaying the percentage of recorded music sales coming from music.
2-7 Curve Fitting with Linear Models Warm Up Lesson Presentation
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,
* SCATTER PLOT – GRAPH WITH MANY ORDERS PAIRS * LINE OF BEST FIT – LINE DRAWN THROUGH DATA THAT BEST REPRESENTS IT.
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.
Scatter Plots, Correlation and Linear Regression.
Unit 3 Section : Regression Lines on the TI  Step 1: Enter the scatter plot data into L1 and L2  Step 2 : Plot your scatter plot  Remember.
Simple Linear Regression The Coefficients of Correlation and Determination Two Quantitative Variables x variable – independent variable or explanatory.
Unit 3 Section : Regression  Regression – statistical method used to describe the nature of the relationship between variables.  Positive.
Algebra 1 Ch.6 Notes Page 47 P Scatter Plots and Equations of Lines.
Scatter Plots. Scatter plots are used when data from an experiment or test have a wide range of values. You do not connect the points in a scatter plot,
Read E-45. Activity 83 Title: Coming to a Stop Problem: How does a car’s stopping distance change in different situations? Hypothesis: If _____________,
Copyright © 2013, 2010 and 2007 Pearson Education, Inc. Chapter Describing the Relation between Two Variables 4.
Chapter 5 Lesson 5.2 Summarizing Bivariate Data 5.2: LSRL.
Copyright © 2015 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
Recall that the slope-intercept form of a linear equation of a non-vertical line is given by: Graphing Using Slope-Intercept Form.
Unit 4 LSRL.
Objectives Fit scatter plot data using linear models with and without technology. Use linear models to make predictions.
Practice. Practice Practice Practice Practice r = X = 20 X2 = 120 Y = 19 Y2 = 123 XY = 72 N = 4 (4) 72.
Aim: How do we fit a regression line on a scatter plot?
Building Linear Models from Data
LSRL Least Squares Regression Line
Objectives Fit scatter plot data using linear models with and without technology. Use linear models to make predictions.
SCATTER PLOTS & LINES OF BEST FIT
Algebra II Mr. Gilbert Chapter 2.5 Modeling Real-World Data:
Lesson – Teacher Notes Standard:
CHAPTER 10 Correlation and Regression (Objectives)
Regression and Residual Plots
Correlation and Regression
Residuals and Residual Plots
High School – Pre-Algebra - Unit 8
Scatter Plots and Least-Squares Lines
Line of Best Fit Objective: Students will be able to draw in, find the equation of and apply the line of best fit to predict future outcomes.
Distance Time Graphs.
Objectives Vocabulary
LEARNING GOALS FOR LESSON 2.7
Distance – Time Graphs Time is usually the independent variable (plotted on the x-axis) Distance is usually the dependent variable (plotted on the y-axis)
Question 24.
Draw Scatter Plots and Best-Fitting Lines
Finding Correlation Coefficient & Line of Best Fit
Presentation transcript:

Stopping distance Subtitle

Some Review questions and topics You should know the content of these slides. Computations can be done on your calculator. Graphs and plots should be done on your calculator as well as paper.

Consider the data below In a study on speed control, it was found that the main reasons for the regulations were to make the traffic flow more efficient and to minimize the risk of danger. Distance to required to stop at various speed is of much importance. MPH Braking distance in feet

What you should know: 1)What is the independent variable? 2)What is the dependent variable? 3)Do you expect a correlation between the variables? 4)List at least three other factors that affect braking distance.

1)Construct a scatter plot. 2)Can braking distance be accurately predicted from speed? 3)Draw the regression line and state its equation.

Use the context of the problem… 1)What does the y-intercept represent? 2)What does the slope represent? 3)How much distance should a driver allow if the car’s speed is at 55 mph? 65 mph ?

Finally: How much extra braking distance should a driver allow if his mama is next to him in the passenger seat and acting nervous by pressing her feet to the floor of the car and grabbing the door handle so tightly that her knuckles are whiter than teeth of a toothpaste model?