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Least-squares Line and Linear Regression

Maths Applications (Year 12) - Time Series Analysis

Aaron Gibson-John

Trend Lines


The least squares method is a statistical technique used to fit a trend line to a set of data points by minimising the sum of the squared differences between the observed and predicted values. Creating trend lines using this method offers several benefits in data analysis and interpretation:

Year

Diameter (cm)

Height (m)

1

4

1

2

7

2

3

12

4

4

14

4

5

15

4

6

20

5

7

22

7

8

26

9

9

30

9

10

32

11

11

35

13

12

37

14

13

38

15

14

41

15

15

46

16

16

50

18

17

50

20

18

53

22

19

53

23

20

55

23


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