February 24

objective
to be able to use the graphing calculator to find mathematical models from given data

key ideas and/or vocabulary
mathematicals models, empirical models, least square method, linear regression, exponential regression, polynomial regression, interpolation

solved problems - using key ideas
#1.  linear model from data, finding regression line using calculator, interpolation
#3.  comparison of  exponential and polynomial regressions
 

graphing calculator
calculator TI-86 (the instructions are similar for TI-83 and TI-85)
STAT menu

• PLOT menu  choose PLOT1
• choose ON
• XLIST = XSTAT, YLIST = YSTAT
• choose MARK

• arrow up to choose PLOT1
• ZDATA

• use CALC function in STAT menu to choose regressions
• LINR   (linear)
• EXPR   (exponential)
• P2REG  (quadratic)
• P4REG    (quartic)
for example, P4REG  XSTAT, YSTAT will give you the quartic regression y1=ax^4+bx^3+cx^2+dx+e;  try graphing this function

group work
Exercise #5, page 82  comparison of exponential and quartic regressions

announcements
Homework.  #2,4
 

QUESTION OF THE DAY

Determine where f(x) is positive, negative, and zero. f(x) = x + 3/(x-4)

SOLUTION

 

SOLUTION.