1. REGRESSIO
N

2. What is
regressio
n?

3. Regression is a
descriptive statistical
technique for finding the
best fitting straight line
between two variables.

4. Regression line is drawn
through the points to
summarize the
relationship between the
variables.

5. Scatter Diagram is a
graph drawn by two axes.
ordinate (y-axis)
abscissa
(x-axis)

6. HOURS
STUDENT SPENT (X) GRADES (Y)
1 2.5 89
2 2.75 88
3 1.5 82
4 1.0 77
5 3.0 90
6 2.5 91
7 1.25 80
8 3.5 93
9 1.5 81
10 2.0 86

7. 93
90
87
84
81
78
75

0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

8. Trend line is a line by hand
with the aid of a ruler.
Conditions of a good trend line:
1. If it approximates the general
directions of the points.
2. If it passes through the points.


9. Least
Square
Regressio
n Line

10. The Least Square
Regression Line (LSRL)
 the best fitting trend line
 is used to have a common
estimate by everyone

11. The Least Square
Regression Line (LSRL)
FORMULA:
Y = dependent variable
X = independent variable
a = point on vertical axis through which
the line passes
b = slope of the line

12. Y = a + bX


13. x y x2 y2 xy
2.5 89 6.25 7921 222.5
2.75 88 7.56 7774 242.07
1.5 82 2.25 6724 123.0
1.0 77 1.00 5929 77.0
3.0 90 9.00 8100 270.0
2.5 91 6.25 8281 227.5
1.25 80 1.56 6400 100.0
3.5 93 12.25 8649 325.5
1.5 81 2.25 6561 121.5
2.0 86 4.00 7396 172.0
21.50 857 52.375 73 705 1 881

14. Thank You
and
GOD
Bless!