The Casio ClassPad 300 CC Edwards 1950 1955 1960 1965 1970 23.0 23.8 24.4 24.5 24.2 1975 1980 1985 1990 1995 24.7 25.2 25.5 25.9 26.3 The able shows how he average age of he firs marriage of Japanese women varied in he las half of he 20h cenury. (a) Use a graphing calculaor or compuer o model hese daa wih a fourh degree polynomial. (b) Use par (a) o find a model for A (). (c) Esimae he rae of change of marriage age for women in 1990. (d) Graph he daa poins and he models for A and A. Here s how you use he ClassPad 300 o solve his problem: Ener and Plo Daa 1. On he Silk Screen Menu Bar ap MENU, hen ap he Saisics icon. 2. Ener he daa: If necessary, clear he liss by apping Edi/Clear All. To creae a lis wih only wo columns, ap a he righ end of he oolbar, hen coninuously ap unil 2 columns appear. Ener he daa. 3. Creae a scaer plo of he daa: On he Menu Bar, ap SeGraph. Selec SaGraph1 and deselec he oher SaGraphs. Tap Seing a he op of he of he SeGraph menu. Type: Scaer XLis: lis1 YLis: lis2 Freq: 1 Mark: square 1
The Casio ClassPad 300 Tap Se. A he righ of he Toolbar, ap. Then ap a he lef of he oolbar. Model he Daa wih a Fourh Degree Polynomial 1. On he Menu Bar ap Calc / Quaric Reg. Se XLis: lis1 YLis: lis2 Freq: 1 Copy Formula: y1 Residual Calc: Off 2. Tap OK o display he coefficiens of he quaric equaion ha models he daa. 3. Tap OK and hen ap o graph he daa and he quaric equaion. 2
The Casio ClassPad 300 Graph A (x) and esimae Rae of Change in 1990. 1. Graph A (x): Tap in he Toolbar and press Keyboard. On he Keyboard, ap 2D. If is displayed beween he 2D menu and he keypad, ap i o display he second half of he 2D menu. Tap he box o he righ of y2 a he op of he screen. Tap he derivaive symbol boom row, middle. Tap x. Highligh and drag he definiion of y1 o he box in y2. Tap he box o he lef of y1 o deselec i and ap he box nex o y2. Tap, hen ap Zoom / Auo. 2. Esimae he Rae of Change: Tap Analysis/G-Solve/y-Cal. Ener 1990 and ap OK. 3
The TI-89 CC Edwards 1950 1955 1960 1965 1970 23.0 23.8 24.4 24.5 24.2 1975 1980 1985 1990 1995 24.7 25.2 25.5 25.9 26.3 The able shows how he average age of he firs marriage of Japanese women varied in he las half of he 20h cenury. (a) Use a graphing calculaor or compuer o model hese daa wih a fourh degree polynomial. (b) Use par (a) o find a model for A (). (c) Esimae he rae of change of marriage age for women in 1990. (d) Graph he daa poins and he models for A and A. Here s how you use he TI-89 o solve his problem: Ener and Plo Daa 1. Sar he Daa/Marix Edior: Press APPS and selec he Daa/Marix Edior. Press 3 o sar a new daa se. Press and selec he folder in which your daa is o be sored. Press and ener a name for your daa. Press ENTER wice o display he Daa edior. 2. Ener he daa: Ener he years in c1. Press ENTER afer each enry. Press 2nd o move o he op of he second column. Ener he daa for he average age. Press ENTER afer each enry. 3. Creae a scaer plo of he daa: Press F2 and highligh he plo in which you wan o creae he scaer plo. Press F1 o se-up he scaer plo. Press wo imes o accep he defaul scaer plo syle. 4
The TI-89 Ener c1 o plo he year on he x-axis. ) alpha 1 Press and ener c2 o plo he average age on he y-axis. alpha ) 2 Press ENTER wo imes o save your seings. Press F1 o ener he Y= edior and uncheck any funcions or sa plos ha you don wan o graph. (Pressing F4 oggles a funcion or sa plo beween being checked and unchecked.) Press F2 9 o ge ZoomDaa o graph he scaer plo. Model he Daa wih a Fourh Degree Polynomial 1. Reener he Daa/Marix Edior. Press APPS, selec he Daa/Marix Edior, and hen press 1. 2. Tell he calculaor o find he Quaric regression for your daa: Press F5 o ener he Calc menu. Press o display he Calculaion Type menu and highligh QuarReg. Press ENTER o selec QuarReg. Tell he calculaor o graph he year on he x-axis by enering c1. ) alpha 1 Press and ener c2 o graph he average age on he y-axis. ) alpha 2 Press o display he funcions in which you can sore he quadraic regression formula, highligh he funcion of your choice, and hen press ENTER. Press ENTER o save your seings. Press ENTER again o ge rid of he STAT VARS display. Press F3 o graph he Quaric regression. 5
Graph A (x) and esimae Rae of Change in 1990. The TI-89 1. Graph A (x): Press F1 o ener he Y= edior. Move he cursor o he funcion in which you wan o define he derivaive and press ENTER. Press 2nd 8 o ener he derivaive command. Ener he funcion in which you sored he regression formula. For example, if he regression formula is sored in y1, ener y1(x). Y 1 ( X 1 Press, X o ell he calculaor ha he derivaive is wih respec o x. Press F2 o complee he definiion of he derivaive. Press ENTER o define he funcion. Uncheck all funcions excep he one conaining he derivaive. Press F2 and selec ZoomFi o graph he derivaive. I will ake awhile for he graph o appear. 2. Esimae he Rae of Change: Press F5 1 o selec he Value command from he Graph Mah menu. Ener 1990 and press ENTER. THE CASIO ADVANTAGE Ease of Use: When you ener he Saisics window on he ClassPad 300, he lis edior is onscreen waiing for inpu. Afer viewing he graph of your daa on he ClassPad 300, everyhing you need o find regression models is righ here on he screen. On he TI-89, you mus re-ener he Daa Marix edior in order o find regression models. 6