Here, we are going to learn DATA and STAT
Function on BAII Plus professional
calculator. At first, we need to go to DATA
Function and clear the memory
by pressing 2nd 7 and 2nd Clear Entry. In this
function, the calculator interprets X Value as the
independent variable and Y value as the
dependent variable. We can go to the STAT
Function by 2nd and 8. We have 5
options which we can change by pressing
2nd and Enter subsequently. Linear function
uses X and Y, Ln function uses
ln(X) and Y, Exponential function
uses X and ln(Y), Power function uses ln(X) and ln(Y)
and at last 1-V which is one
variable calculation method for
probabilities. In this video, we are going to
learn linear regression and one-variable
calculation method with examples.
At first, we are going to learn
linear regression. In example 1, the values of X and Y
are given. So, we are going to the DATA
function by 2nd 7 and input 6
into X01 enter; next 10 into Y01 enter;
scroll down 9 enter; next 19 enter;
again down-arrow 10 enter; scroll down 15
enter; next 5 enter and at last 9 enter.
Now we go to STAT Function by
2nd 8 and select the LIN mode.
Then after pressing the next button,
we are getting the value of the n which
indicates 4 pair of values are entered.
Then next 𝑋 ̅ which shows the mean of X, then
sample standard deviation, scroll down
gives us the population standard deviation, σ,
then we are getting 𝑌 ̅ , then sample
standard deviation of Y and then the
population standard deviation of Y.
Then we are getting the value of a. It is
the y-intercept which is the value of Y
when the X is zero.
Scroll down gives us the slope, b. So the regression
equation is 0.676 + 1.676x. At last,
r is the correlation coefficient which
is .85 and it indicates a strong
relationship between X and Y. If we scroll
down further then we get X' and it
is just to compute Y value; given
a X value. If we enter 10 in X' and
scroll down and press CPT then we
get the value of Y which is 17.44. If
we go further, we can get sum of X,
sum of X^2, sum of Y, sum of Y^2
and the summation of XY.
In example 2, we are going to use one-variable
calculation method with an
example which is taken from the reading
titled Probability Concepts of 2016 CFA
level 1 curriculum. The probability
distribution of EPS for the current
fiscal year is given and we need to
compute the expected value and standard
deviation of the EPS. Here we need to be
careful that the probability data should
be entered as Y variable. So, at first, we
clear the DATA Function as 2nd 7
and 2nd Clear Entry. Then 2.61 in X01 enter,
15 into Y01 enter, next 2.45 enter;
next 45 enter; scroll down 2.2
enter, down 24 enter; next 2 enter and
then 16 enter. Then we go the
STAT Function by pressing 2nd 8 and
then select the one-variable method which is
1-V by changing the mode
pressing 2nd enter subsequently.
Then next gives us the number of variable
of the probability which is 100. Then
𝑋 ̅ gives the expected EPS,
SX is the sample standard deviation and
the population standard deviation is .196. Then we
get sum of X and Sum X^2.
This is the common usage of Data and Stat
function on BAII plus Calculator.
Thank you so much for being with me.
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