Loading ...
Loading ...
Loading ...
Regression Coefficients: a, b / Correlation Coefficient: r / Estimated
Values: π₯
, π¦
ξξξ(Regression) ξ to ξ
Regression Coefficients for Quadratic Regression: a, b, c / Estimated
Values:
π₯
1
, π₯
2
, π¦
ξξξ(Regression) ξ to ξ
β’ π₯
, π₯
1
, π₯
2
and π¦ 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.
ξΆξ(SETUP)ξξ(Statistics)ξ(On)
ξξ(Select Type)ξ(1-Variable)
1ξ2ξ3ξ4ξ5ξξξ
1ξ2ξ3ξ2ξ
ξξξξ(Variable)ξ(π₯
β
)ξ
3
Ex 3: To calculate the logarithmic regression correlation coefο¬cients 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.
ξΆξ(SETUP)ξξ(Statistics)ξ(Off)
ξΆξ(SETUP)ξ(Number Format)ξ(Fix)ξ
ξξ(Select Type)ξ(y=a+bο½₯ln(x))
20ξ110ξ200ξ290ξξξ
3150ξ7310ξ8800ξ9310ξ
ξξξξ(Regression)ξ(r)ξ
0.998
ξξξξ(Regression)ξ(a)ξ
-3857.984
ξξξξ(Regression)ξ(b)ξ
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.)
ξ160ξξξ(Regression)ξ(
π¦
)ξ
8106.898
Important: Regression coefο¬cient, correlation coefο¬cient, 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:
ξξξ(Norm Dist).
22
Loading ...
Loading ...
Loading ...