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1 FUNCTIONS AND MODELS

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4.<br />

)<br />

4<br />

π<br />

(sin x + 1 3 sin 3x + 1 5 sin 5x<br />

CHAPTER 1<br />

<strong>FUNCTIONS</strong> <strong>AND</strong> <strong>MODELS</strong><br />

y<br />

1<br />

_6 _4 _2 0 2 4 6 x<br />

5.<br />

(<br />

4 sin 3x<br />

sin x +<br />

π<br />

3<br />

+<br />

sin 5x<br />

5<br />

+<br />

sin 7x<br />

7<br />

+<br />

sin 9x<br />

9<br />

+<br />

_1<br />

sin 11x<br />

11<br />

+<br />

sin 13x<br />

13<br />

+<br />

sin 15x<br />

15<br />

+<br />

sin 17x<br />

17<br />

+<br />

)<br />

sin 19x<br />

19<br />

y<br />

1<br />

_2¹<br />

_¹<br />

¹ 2¹<br />

x<br />

_1<br />

6. y<br />

¹/2<br />

_2¹ _¹ 0<br />

_¹/2<br />

¹ 2¹<br />

x<br />

USING A GRAPHING CALCULATOR TO DO REGRESSION ANALYSIS<br />

The following instructions assume the use of a TI-85 calculator.<br />

• Under the STAT menu select EDIT.<br />

• Choose desired lists for x-andy-coordinates.<br />

• Enter the x-andy-coordinates of the data.<br />

• In graph mode, set approximate ranges so points can be viewed. Erase or deselect all functions.<br />

• In default window, choose a regression model:<br />

• ExpR (Exponential regression)<br />

• LinR (Linear regression)<br />

• LnR (Logarithmic regression)<br />

• P2Reg (Quadratic regression)<br />

• P3Reg (Cubic regression)<br />

• P4Reg (Quartic regression)<br />

• Under STAT mode, select DRAW.<br />

• Select SCAT to plot data points.<br />

• Select DRREG to plot the regression model.<br />

• Move cursor along regression plot to get approximations for interpolation.<br />

8

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