Regression Coefficients: a, b / Correlation Coefficient: r / Estimated
Values: ๐ฅ
, ๐ฆ
๎๎๎(Regression) ๎ to ๎
Regression Coefficients for Quadratic Regression: a, b, c / Estimated
Values:
๐ฅ
1
, ๐ฅ
2
, ๐ฆ
๎๎๎(Regression) ๎ to ๎
โข ๐ฅ
, ๐ฅ
1
, ๐ฅ
2
and ๐ฆ are commands of the type that take an argument
immediately before them.
Ex 2: 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.
๎ถ๎(SETUP)๎๎(Statistics)๎(On)
๎๎(Select Type)๎(1-Variable)
1๎2๎3๎4๎5๎๎๎
1๎2๎3๎2๎
๎๎๎๎(Variable)๎(๐ฅ
โ
)๎
3
Ex 3: To calculate the logarithmic regression correlation coef๏ฌcients for the
following paired-variable data and determine the regression formula: (x, y) =
(20, 3150), (110, 7310), (200, 8800), (290, 9310). Specify Fix 3 (three
decimal places) for results.
๎ถ๎(SETUP)๎๎(Statistics)๎(Off)
๎ถ๎(SETUP)๎(Number Format)๎(Fix)๎
๎๎(Select Type)๎(y=a+b๏ฝฅln(x))
20๎110๎200๎290๎๎๎
3150๎7310๎8800๎9310๎
๎๎๎๎(Regression)๎(r)๎
0.998
๎๎๎๎(Regression)๎(a)๎
-3857.984
๎๎๎๎(Regression)๎(b)๎
2357.532
Calculating Estimated Values
Based on the regression formula obtained by paired-variable statistical
calculation, the estimated value of y can be calculated for a given x-value.
The corresponding x-value (two values, x
1
and x
2
, in the case of quadratic
regression) also can be calculated for a value of y in the regression formula.
Ex 4: To determine the estimate value for y when x = 160 in the regression
formula produced by logarithmic regression of the data in Ex 3. Specify Fix
3 for the result. (Perform the following operation after completing the
operations in Ex 3.)
๎160๎๎๎(Regression)๎(
๐ฆ
)๎
8106.898
Important: Regression coef๏ฌcient, correlation coef๏ฌcient, and estimated
value calculations can take considerable time when there are a large
number of data items.
Performing Normal Distribution Calculations
While single-variable statistical calculation is selected, you can perform
normal distribution calculation using the functions shown below from the
menu that appears when you perform the following key operation:
๎๎๎(Norm Dist).
22