Ramos, alexis t. regression
Transcript of Ramos, alexis t. regression
REGRESSION
What is regression?
Regression is a descriptive statistical technique for finding the best fitting straight line between two variables.
Regression line is drawn through the points to summarize the relationship between the variables.
Scatter Diagram is a graph drawn by two axes.
abscissa (x-axis)
ordinate (y-axis)
STUDENT
123456789
10
GRADES (Y)
89888277909180938186
HOURS SPENT (X)
2.52.751.51.03.02.5
1.253.51.52.0
0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
75
78
81
87
90
93
84
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.
Least Square Regression Line
The Least Square Regression Line
(LSRL) the best fitting trend line is used to have a common estimate by everyone
The Least Square Regression Line
(LSRL)FORMULA:
Y = dependent variableX = independent variablea = point on vertical axis through which the line passesb = slope of the line
Y = a +bX
x2y xyx y2
2.52.751.51.03.02.5
1.253.51.52.0
89888277909180938186
6.257.562.251.009.006.251.56
12.252.254.00
7921777467245929810082816400864965617396
222.5242.07123.077.0
270.0227.5100.0325.5121.5172.0
52.37585721.50 73 705 1 881
Thank YouandGOD
Bless!