Casio Fx-96SG - Statistical Regression and Distribution; Regression Analysis; Single-Variable Data Example

E-18
Regression Coefficients: A, B, Correlation Coefficient: r , Estimated
Values:
m, n
11(STAT) 5(Reg) 1 to 5
Regression Coefficients for Quadratic Regression: A, B, C, Estimated
Values:
m
1
, m
2
, n
11(STAT) 5(Reg) 1 to 6
• See the table at the beginning of this section of the manual for the regression
formulas.
•
m, m
1
, m
2
and n are not variables. They are commands of the type that take
an argument immediately before them. See “Calculating Estimated Values”
for more information.
Minimum Value: minX*, minY, Maximum Value: maxX*, maxY
11(STAT) 6(MinMax) 1 to 4
Note: While single-variable statistical calculation is selected, you can input
the functions and commands for performing normal distribution calculation
from the menu that appears when you perform the following key operation:
11(STAT) 5 (Distr). See “Performing Normal Distribution Calculations”
for details.
To input the single-variable data x = {1, 2, 2, 3, 3, 3, 4, 4, 5}, using
the FREQ column to specify the number of repeats for each items
({x
n
; freq
n
} = {1;1, 2;2, 3;3, 4;2, 5;1}), and calculate the mean and
population standard deviation.
1N(SETUP) c4(STAT) 1(ON)
N2(STAT) 1(1-VAR)
1 = 2 = 3 = 4 = 5 =ce
1 = 2 = 3 = 2 =
A11(STAT) 4(Var) 2( o) =
A11(STAT)4(Var)3(σ
x)=
Results: Mean: 3 Population Standard Deviation: 1.154700538
To calculate the linear regression and logarithmic regression
correlation coefficients for the following paired-variable data and
determine the regression formula for the strongest correlation: (x, y)
= (20, 3150), (110, 7310), (200, 8800), (290, 9310). Specify Fix 3
(three decimal places) for results.
1N(SETUP) c4(STAT) 2(OFF)
1N(SETUP) 6(Fix) 3
N2(STAT) 2(A+BX)
20 = 110 = 200 = 290 =ce
3150 = 7310 =8800 = 9310 =
A11(STAT) 5(Reg) 3(r) =
A11(STAT) 1(Type) 4(ln X)
A11(STAT) 5(Reg) 3(r) =
A11(STAT) 5(Reg) 1(A) =
22
STATSTAT
33
STAT
FIX
STAT
FIX