Instructor: Hyosang Kang Sep. 12, 2005 Fall 2005 Math 105 #28 Lesson 3 Instructor: Hyosang Kang Sep. 12, 2005

Lesson Plan A survey Guide for team homework & quizzes Review section 1.2 Questions on the homework Section 1.3 Idea of regression Graphing Calculator TI-83 Assignment

Survey Completion of the survey is voluntary. You are NOT required to complete the survey. The survey should only be completed by students who are 18 years of age or older.

Guide for Survey Write your name on ONE of the two envelopes. Open the envelope that does NOT have your name on it. Write the 4-digit number in the envelope on the page 3. Do survey. Return the worksheet with the envelope that has your name on it.

Guide for Team Homework (1) First team homework due day: 9/16/05 To where & By when : To classes by 15th. To mailbox (2096EH) by 4pm of 16th. (7th column from left, 3rd row from bottom)

Guide for Team Homework (2) Scores are given by 0 to 5 scale at each problem. 5: Wonderful! (Correct & Creative) 4: Correct. (Answers are correct) 3: Good. (Minor error(s) in the solution) 2: OK. (Major error(s) in the solution) 1: No conclusion. 0: Not even tried. Print the report out OR write it neatly.

Guide for Quizzes Problems on quizzes are based on the textbook exercises. Every quiz is of 10-point scale. Approximately there are 3 to 4 problems at each quiz. Quizzes are on every Thursday.

Reviews on section 1.2 The average rate of change (rate of change) of a function y=f(x) over an interval from x=a to x=b is

Reviews on section 1.2 Example Rate of change on the interval from x=2 to x=3 is

Reviews on section 1.2 Increasing function - f(x) increases as x increases - Rate of change is positive Decreasing function - f(x) decreases as x increases - Rate of change is negative

Reviews on section 1.2

Questions on homework Discuss on homework with the group members. If there are no questions on the homework in your group, try to do #39 (a) on page 50.

Section 1.3 Linear Functions Linear function in verbal definition = same rate of change on every interval Linear function in a table = Value of f(x) changes equally x Y=f(x) 1 1.2 2 3.6 3 6 4 8.4 5 10.8 13.2 7 15.6 8 18 9 20.4 10 22.8 2.4

Linear Functions (cont’d) Linear function in a graph = straight line Formula for a linear function m: slope b: vertical intercept or y-intercept

How to find ‘m’ and ‘b’ (1) Knowing initial value and rate of change,

How to find ‘m’ and ‘b’ (2) Knowing two distinct points on the graph of a function,

Exercise #1-6 (page 23) Find the table that represent linear function. If you finished, try to find the equation for each linear function. t 1 2 3 4 5 g(t) t 1 2 3 4 5 g(t) x 100 300 600 g(x) 50 150 200

Exercise #12 (page 24) What does P(0) mean? What does P(2002) mean?

Idea of Regression X Y 160 28 170 26 180 24 190 21 200 16 210 13 220 11 230 9

Idea of Regression (cont’d)

Graphing Calculator TI-83 Input Data on TI-83 Linear Regression on TI-83 Displaying Data on TI-83 (if time allows)

Keywords of Today Notice Linear Function Regression Line Office Hour is TODAY (5:30pm-6:30pm)

Assignment READ: Section 1.4, Handouts DO: Section 1.3: 3,7,9,13,18,19,20,21,23 Section 1.6: 5,7 (Ignore correlation coefficient) Team homework 1.1: 18, 1.2: 16, 1.3: 22, 1.6: 6(*) (*) Ignore 6.(f)