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A-Level Mathematics Time Series Notes Zimbabwe

Study Mathematics notes on Time Series for A-Level. Useful for revision, homework, and exam preparation in Zimbabwe.

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Subject
Mathematics
Level
A-Level
Document
Notes
File
PDF, 3.2 MB

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This is the A-Level Mathematics notes. It is a free notes for revision.

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Solution.

$x$  |  $y$  |  rank $x$  |  ranky  |  $|d|$  |  $d^{2}$
1  |  0,5  |  1  |  1  |  0  |  0
2,5  |  1  |  2  |  2  |  0  |  0
6  |  3,5  |  5  |  5  |  0  |  0
7  |  6,5  |  7  |  7  |  0  |  0
4,5  |  3  |  4  |  4  |  0  |  0
3  |  2,5  |  3  |  3  |  0  |  0
6,5  |  5,5  |  6  |  6  |  0  |  0

\[
\begin{aligned}
\sum d^{2}  |  =0
r_{s}  |  =1-\frac{6 \sum d^{2}}{n\left(n^{2}-1\right)}   |  =1-\frac{6(0)}{7\left(7^{2}-1\right)}   |  =1
\end{aligned}
\]
there is perfect positive correlation.
Time series
1 It is a set of data recorded over unifarm time periods such as a year over months
- the analyss of time series involves-decomparing the data to establush a pottern
- If a pattern is shown to exist there is a bosw for predicting trends into the future
- the tong term movement of a varable is known as a trend