Warm-up 3.2 Getting a line on the pattern Suppose you were to collect data for each pair of variables. You want to make a scatterplot. Which variable would.

Slides:



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

Chapter 3 Bivariate Data
AP Statistics Chapter 3 Practice Problems
2nd Day: Bear Example Length (in) Weight (lb)
AP Statistics Mrs Johnson
Correlation & Regression
Warm-up Day of Ch. 7 Review Free Response A h.s. math teacher believes the greater number of hours of sleep before taking an AP exam, the better the score.
Warm-up with Multiple Choice Practice on 3.1 to 3.3
Warm-up A. P Stats Shape-Changing Transformations/ Stats – 3.4 Diagonstics Copy the two columns and match them.
Warm-up with 3.3 Notes on Correlation The fat and calorie contents of 5oz of 3 kinds of pizza are represented by the data points (9, 305), (11, 309)
Warm-up Ch. 3 Practice Test
Warm-up Ch.11 Inference for Linear Regression (Day 1) 1. The following is from a particular region’s mortality table. What is the probability that a 20-year-old.
Warm-up with 3.3 Notes on Correlation
New Seats – Block 1. New Seats – Block 2 Warm-up with Scatterplot Notes 1) 2) 3) 4) 5)
Lesson Least-Squares Regression. Knowledge Objectives Explain what is meant by a regression line. Explain what is meant by extrapolation. Explain.
Warm-up 3.4 Diagnostic of Influential Points 4) 5) 6)
AP STATISTICS LESSON 3 – 3 LEAST – SQUARES REGRESSION.
AP Statistics Chapter 8 & 9 Day 3
Warm-up with 3.3 Notes on Correlation Universities use SAT scores in the admissions process because they believe these scores provide some insight into.
3.2 Least Squares Regression Line. Regression Line Describes how a response variable changes as an explanatory variable changes Formula sheet: Calculator.
A medical researcher wishes to determine how the dosage (in mg) of a drug affects the heart rate of the patient. DosageHeart rate
3.2 - Least- Squares Regression. Where else have we seen “residuals?” Sx = data point - mean (observed - predicted) z-scores = observed - expected * note.
WARM-UP Do the work on the slip of paper (handout)
Examining Bivariate Data Unit 3 – Statistics. Some Vocabulary Response aka Dependent Variable –Measures an outcome of a study Explanatory aka Independent.
Warm-up Ch. 3 Textbook Review A simple random sample of eight drivers was selected. All eight drivers are insured with the same insurance company, and.
Agresti/Franklin Statistics, 1 of 88 Chapter 11 Analyzing Association Between Quantitative Variables: Regression Analysis Learn…. To use regression analysis.
Warm Up Feel free to share data points for your activity. Determine if the direction and strength of the correlation is as agreed for this class, for the.
Chapter 3-Examining Relationships Scatterplots and Correlation Least-squares Regression.
AP STATISTICS Section 3.2 Least Squares Regression.
Chapter 14: Inference for Regression. A brief review of chapter 4... (Regression Analysis: Exploring Association BetweenVariables )  Bi-variate data.
POD 09/19/ B #5P a)Describe the relationship between speed and pulse as shown in the scatterplot to the right. b)The correlation coefficient, r,
AP Statistics HW: p. 165 #42, 44, 45 Obj: to understand the meaning of r 2 and to use residual plots Do Now: On your calculator select: 2 ND ; 0; DIAGNOSTIC.
Linear Regression Day 1 – (pg )
LEAST-SQUARES REGRESSION 3.2 Least Squares Regression Line and Residuals.
Warm-up O Turn in HW – Ch 8 Worksheet O Complete the warm-up that you picked up by the door. (you have 10 minutes)
LSRLs: Interpreting r vs. r 2 r – “the correlation coefficient” tells you the strength and direction between two variables (x and y, for example, height.
Unit 4 Lesson 3 (5.3) Summarizing Bivariate Data 5.3: LSRL.
Simple Linear Regression The Coefficients of Correlation and Determination Two Quantitative Variables x variable – independent variable or explanatory.
Chapter 5 Lesson 5.2 Summarizing Bivariate Data 5.2: LSRL.
Chapters 8 Linear Regression. Correlation and Regression Correlation = linear relationship between two variables. Summarize relationship with line. Called.
Unit 3 Correlation. Homework Assignment For the A: 1, 5, 7,11, 13, , 21, , 35, 37, 39, 41, 43, 45, 47 – 51, 55, 58, 59, 61, 63, 65, 69,
Midterm Review IN CLASS. Chapter 1: The Art and Science of Data 1.Recognize individuals and variables in a statistical study. 2.Distinguish between categorical.
1. Analyzing patterns in scatterplots 2. Correlation and linearity 3. Least-squares regression line 4. Residual plots, outliers, and influential points.
AP Review Exploring Data. Describing a Distribution Discuss center, shape, and spread in context. Center: Mean or Median Shape: Roughly Symmetrical, Right.
Section 3.4 Day 2.
Inference for Regression (Chapter 14) A.P. Stats Review Topic #3
LSRL.
Least Squares Regression Line.
LEAST – SQUARES REGRESSION
CHAPTER 3 Describing Relationships
Cautions about Correlation and Regression
Chapter 3: Describing Relationships
Chapter 3.2 LSRL.
Suppose the maximum number of hours of study among students in your sample is 6. If you used the equation to predict the test score of a student who studied.
AP Stats: 3.3 Least-Squares Regression Line
Least Squares Regression Line LSRL Chapter 7-continued
AP Statistics, Section 3.3, Part 1
Chapter 3 Describing Relationships Section 3.2
Review of Chapter 3 Examining Relationships
Chapter 5 LSRL.
Major Topics first semester by chapter
Major Topics first semester by chapter
Chapter 14 Inference for Regression
Algebra Review The equation of a straight line y = mx + b
Warm-up: Pg 197 #79-80 Get ready for homework questions
Lesson 2.2 Linear Regression.
Chapters Important Concepts and Terms
Chapter 3: Describing Relationships
Homework: PG. 204 #30, 31 pg. 212 #35,36 30.) a. Reading scores are predicted to increase by for each one-point increase in IQ. For x=90: 45.98;
Review of Chapter 3 Examining Relationships
Presentation transcript:

Warm-up 3.2 Getting a line on the pattern Suppose you were to collect data for each pair of variables. You want to make a scatterplot. Which variable would you use as the explanatory variable, and which as the response variable? Write trend AND strength and your explanation. a)Scuba diving: depth, water pressure. b)All elementary school students: weight, reading level c) Lightning strikes: distance from lightning, time delay of thunder.

Student of the day! Block 1

Student of the day! Block 2

Discuss E #1-4 of 3.1

3.2 Getting a line on the pattern Slope: ____ y-intercept = ____ How thick is 300 pages? Extrapolation, intrapolation…

Using the calculator to get the Regression Line or LSRL Actual- expected L 1 L 2 Y1(50) = Y1(250) = Residual

Finding Residuals using the calculator no need for “ “ L 3 = Y 1 (L1) subs. x values L 4 = L 2 -L 3 calculates residuals L 5 = L 4 2 squares them To predict 300 pgs Type Y1(300) ENTER

How to see the residual plot on the calculator! If the regression line is a good model, we would expect to find the residuals more or less randomly scattered about the average residual which is represented by the horizontal line. No pattern on the residual plot is a good thing.

Common test mistakes On free-response, when comparing values that are normally distributed, use z-score or percentile. Be sure to explain what they mean and why one is superior to the other. In general, numbers can not be given without explanation and explanation can not be given without specific numbers. Do no use calculator talk unless you explain in words. When only given the 5 number summary you can only determine if there are any outliers present. It can be more than one.

Advice for next test If you did poorly on the multiple choice, get a study guide (Barron’s or 5 steps to a 5) to do more practice multiple choice in time for the next test. If you did poorly on the free response, work on more problems beyond what is assigned for homework. Check out the college board website, I use released free- response from old exams and I use h.w. problems from other textbooks for free –response as well.

Common Test mistakes Homework: Copy the properties of the Least Squares Regression Line on pg 125; P #3 and 4, E # 9 and 10; Read 3.3

Answers to 3.1 Homework A.P. Statistics E #1-4

3.1 E#2

A.P. Statistics H.W. Answers continued… E3. a. II b. IV c. III d. I E4.