Statistics 简明教程

Statistics - Ti 83 Exponential Regression

Ti 83 指数回归用于计算最适合无歧视变量集之间的相关关系的方程。

Ti 83 Exponential Regression is used to compute an equation which best fits the co-relation between sets of indisciriminate variables.

Formula

其中——

Where −

  1. ${a, b}$ = coefficients for the exponential.

Example

Problem Statement:

Problem Statement:

针对下列数据点计算指数回归方程 (y)。

Calculate Exponential Regression Equation(y) for the following data points.

Time (min), Ti

0

5

10

15

Temperature (°F), Te

140

129

119

112

Solution:

Solution:

令 a 和 b 为指数回归系数。

Let consider a and b as coefficients for the exponential Regression.

Step 1

Step 1

其中——

Where −

  1. ${n}$ = total number of items.

Step 2

Step 2

Step 3

Step 3

在指数回归方程(y)中代入 a 和 b 的值,我们得到。

Putting the value of a and b in Exponential Regression Equation(y), we get.