Linear Regression Calculation

Model : CASIO  fx-991MS, CASIO fx-570MS, CASIO  fx-100MS

Regression is an important part in statistical calculation. Here we develop relationship between two variables on the basis of observed data assuming the relationship to be linear, parabolic,quadratic etc.


Example: On the basis of following data establish regression equation between x and y assuming the relation to be linear.( Let y=A+Bx and Find out A,B,correlation coefficient r). Also calculate  Σx, Σx², Σy, Σy², Σxy, x̅, xσ_n, xσ_n-1,(standard variation), x̅, y bar, yσ_n, yσ_{n-1, estimated value of y for x=18,} estimated value of  x for y=20. (Answers: Σx=100, Σx²=2250, Σy=5043, Σy²=5086451, Σxy=101000, x̅=20, xσ_n=7.071,

Calculation of normal distribution in statistical calculation

Model : CASIO  fx-991MS, CASIO fx-570MS, CASIO  fx-100MS

In statistics often it is necessary to calculate normal distribution.Normal distribution indicates percentage of chance of occurrence of an event based on the observed data.It's one type of probability distribution.

Example: Calculate normalized variate(→t) for x=53 and normal probability distribution P(t) for the following data 55,54,51,55,53,53,54,52.Also calculate Q(t) and R(t) for these data.(Ans: -0.28, 0.387, 0.112, 0.612 respectively)

Some important notes on complex mode and modulas,argument determination

Model : CASIO fx-570MS, CASIO fx-991MS, CASIO  fx-100MS

Note 1: Expression can be stored in CALC memory in complex mode.

Note 2: Variables A,B,C and M can be used in COMPLEX mode. Variables D,E,F,X,Y won't appear in COMPLEX mode.

Note  3: The indicator R↔I in the upper right corner of a calculation result display indicates a complex number result.

Note 4: Direct calculation of (a+ib)ⁿ will show mathematical error.

Example: Compute modulas and argument of the complex number -3+2i. (Ans: 3.606 and 146.31 Degree)

Solution:

(Mode initialization)