9. The table below shows some time series data where t represents time. 1 14 17 18 2 4 24 21 19 7 16 8 13 (a) By using two point linear estimation, find the equation of the regression line in the form of x = a + bt. On a graph paper, use 2 cm to represent 1 unit on horizontal axis, plot a scatter diagram of the original data and the regression line. (b) (c) Create a 3-point moving average smoothing of the data. Hence, plot the smoothed data in your graph in (b). (d) Predict the temperature for t = 9 using (i) the last smoothed value; (ii) linear estimation.
9. The table below shows some time series data where t represents time. 1 14 17 18 2 4 24 21 19 7 16 8 13 (a) By using two point linear estimation, find the equation of the regression line in the form of x = a + bt. On a graph paper, use 2 cm to represent 1 unit on horizontal axis, plot a scatter diagram of the original data and the regression line. (b) (c) Create a 3-point moving average smoothing of the data. Hence, plot the smoothed data in your graph in (b). (d) Predict the temperature for t = 9 using (i) the last smoothed value; (ii) linear estimation.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Answer question 9
Transcribed Image Text:9.
The table below shows some time series data where t represents
time.
1
14
2
17
3
18
4
24
21
6.
19
7
16
13
(a) By using two point linear estimation, find the equation of the
regression line in the form of x = a + bt.
On a graph paper, use 2 cm to represent 1 unit on
horizontal axis, plot a scatter diagram of the original data
and the regression line.
(b)
(c)
Create a 3-point moving average smoothing of the data.
Hence, plot the smoothed data in your graph in (b).
(d)
Predict the temperature for t = 9 using
(i)
the last smoothed value;
(ii)
linear estimation.
(e) State, with a reason, if the product-moment correlation
coefficient, r, is a good measure of correlation between x
and t.
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