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Pengertian Regresi Linear - Matematika Wajib Kelas XI Kurikulum Merdeka

8:16EnglishTranscribed Jul 25, 2026
0:03

Okay, peace be upon you,

0:05

friends,

0:07

back again at basem channel, we are still

0:10

continuing our discussion on the material

0:12

or chapter of statistics, eh, class 11,

0:15

Merdeka curriculum, still on the

0:19

Scatter diagram material, yes. Where in the

0:21

previous video we have discussed in

0:23

detail What is a Scatter diagram, yes, Ee,

0:27

how to distinguish independent variables,

0:29

terik variables, How to draw a

0:31

Scatter diagram and determine the trend of

0:34

correlation data and interpretation, yes, from eh

0:38

bivariate data Well, we will

0:41

continue our discussion, eh, now we are

0:44

going into the discussion of linear regression, yes, it is

0:47

still a continuation of the previous material, well,

0:49

before that, as usual, we will discuss

0:52

the definition, yes, Ee, what we want to discuss is

0:55

linear regression, ee,

0:58

linear regression is a statistical method

1:01

used to analyze the

1:04

relationship between one dependent variable,

1:07

yes, or what we called yesterday, the dependent variable is

1:10

the same as one or more

1:13

independent variables or free ee variables,

1:16

yes, on the x-axis, well, this is in terms of

1:19

understanding related to linear ee regression,

1:22

for example, here is a

1:25

Scatter diagram that we have drawn yesterday,

1:28

yes, the question is, what is the data trend

1:31

in the diagram, well, of course, to determine the

1:33

data trend, we look at the distribution pattern of the

1:38

ee data, yes, from the coordinates of the point that

1:41

we have drawn Heeh Usually

1:44

we see the pattern we estimate here

1:46

we see Oh it turns out ee the

1:48

data distribution pattern ee is in the form of a

1:52

straight line so we say because the

1:54

data distribution pattern is in the form or

1:56

close to a straight line then what was the data trend

1:58

yesterday Well the TR data trend is linear

2:01

yes So yesterday there were three data trends

2:03

yes if it is in the form of a straight line linear

2:06

if

2:07

ee the line is not straight in the form of a curve yes it

2:10

means nonlinear and there are also those that have

2:13

no pattern at

2:14

all Well after we determine the

2:18

data trend ee of course ee the

2:21

two data Yes both data what is

2:25

the term ee the independent variable and the

2:28

dependent variable certainly have a

2:30

relationship yes Usually we analyze again

2:33

ee the correlation yes whether it is positive

2:36

or negative seen from the direction of the line

2:39

then the interpretation explains the

2:41

relationship between the two variables well but what

2:44

we want to discuss here is just

2:46

looking at the line yes analyze

2:49

ee Line from the existing data distribution pattern

2:52

well ee the question Is there

2:56

another line estimate from the

2:58

existing data distribution pattern Well so ee

3:01

from the pattern that we wrote earlier

3:03

that the distribution of points on

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this search diagram ee is estimated

3:09

ee the pattern forms a straight line but is

3:13

this right ee the

3:16

line estimate Is There are other lines,

3:19

approximately from the existing pattern, yes, of course

3:22

there are, yes, it could be a pattern like this or

3:24

like this, so there are many Well,

3:28

the question is which line is the

3:30

most appropriate to represent the data on the

3:32

diagram, so the point here is

3:36

linear regression, namely we want to find the

3:40

right line pattern, yes, ee, ee, which represents

3:44

the data on the diagram, okay, well,

3:49

among all the possible lines formed, there is

3:51

only one line that is most appropriate,

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usually called the base speed line,

3:58

that's what we want to look for, yes, so later, among the

4:01

possible lines formed

4:04

from the existing data pattern, there is only one,

4:06

ee, the most appropriate line to represent the

4:09

existing data pattern, what was it

4:11

called the base speed line, well, this line

4:15

is a linear model that

4:17

estimates the relationship between two

4:19

quantitative variables on the scatter diagram,

4:22

well, the regression model that

4:23

provides a straight line relationship between

4:25

these two variables is what is called

4:28

linear regression, so here is

4:30

another explanation, the emphasis is on

4:33

what is linear regression, yes, so we want to

4:36

analyze the relationship

4:38

between two variables through a

4:43

straight line, yes, that's what is known as

4:46

linear regression, here you can,

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okay, okay, the question is, how do you

4:52

determine which one is the the

4:54

base speed line or the line

4:57

that best represents the data, that's what

5:00

we'll discuss, for example,

5:02

from the three predicted lines, which one is the

5:06

most appropriate,

5:07

usually we ee in determining the

5:12

most appropriate line, we look at the distance of

5:14

the line to the existing points,

5:17

the closer the line is to all the points

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on the Scatter diagram, the more appropriate the

5:22

line is, this is one way, yes,

5:25

so we look at the ee distance of the line to

5:29

all the existing points, for example,

5:31

from the three lines, we take the

5:34

red one first, then we take

5:36

the blue line, the green one is quite

5:39

far away, it's possible that only these two lines

5:42

are

5:43

EE can be the base speed line, so eh,

5:47

how do we look at the distance of

5:50

the line to the existing points,

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we see this red line here, there are

5:55

two points that are quite far

5:58

from the line, while the

6:01

blue line only has one point that is far from the

6:05

e line, while the distance is this The distance of this

6:08

far point, this one point E is

6:11

not too far compared to the distance of the

6:13

two points that are far from the

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red line, right, then

6:21

the second, we look at the red line,

6:24

most of the points are

6:27

below the line, while the blue one is

6:30

balanced Here there is one above there is one

6:32

below and the distance ee It's quite close

6:35

to the line so it can be concluded

6:38

from here looking at ee the distance of the line with the

6:41

existing points that the possibility

6:43

of which is the base speed line is

6:45

red or blue Well of course

6:47

the blue one so ee by

6:50

estimating or looking at the distance of the line

6:53

with the existing points is

6:55

one way to determine the base

6:58

speed line yes but this is just a sample

7:00

yes if ee the data distribution of the

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points is only a little sometimes it's

7:05

quite a lot now the question

7:07

now is is there the most

7:09

appropriate way to determine a base

7:13

speed line Yes with some ee data yes a

7:17

definite formula yes Well that's what

7:19

we will discuss ee in

7:23

this linear regression material yes Ee later there are two ways yes

7:26

namely using the least squares ee method

7:29

and the regression equation yes

7:34

we will discuss that in the previous video

7:36

Well here we give an introduction

7:38

first related to What is

7:40

linear regression and what we will discuss yes

7:44

what was ah looking for the base

7:47

speed line from a data distribution

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or a scatter diagram Okay that's what

7:54

we can ee discuss ee for the

7:57

most appropriate way to determine the specific

7:59

we will discuss in the next video

8:02

yes God willing, we will provide an

8:05

explanation. Hopefully it will be useful

8:08

and understandable. Of course, stay

8:11

enthusiastic and always

8:13

achieve.

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