<p>I am looking for relationships between different variables in a set of MET office data. The data set is for the months May to October in 2015 and 1987 in various places in the UK. The variables measured are listed at the bottom of this post.</p>
<p>To add some context, the data set is part of the A-level maths specification <a href="https://qualifications.pearson.com/content/dam/pdf/A%20Level/Mathematics/2017/specification-and-sample-assesment/Pearson%20Edexcel%20GCE%20AS%20and%20AL%20Mathematics%20data%20set%20-%20Issue%201%20(1).xls" rel="nofollow noreferrer">(spreadsheet linked here)</a>.</p>
<blockquote>
<p>I am interested in how this data set would be analysed in a meteorological setting and replicate it in a maths lesson</p>
</blockquote>
<p>An example would be to  calculate the PMCC and perform a hypothesis test to see if it is statistically significant.</p>
<p>For example, one linear relationship would be between sunshine and cloud cover
<a href="https://i.sstatic.net/zVvS5.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/zVvS5.png" alt="enter image description here" /></a></p>
<p>I lack the knowledge to know which variables would be connected and their relationships. It would be ideal to discover linear relationships of the form:</p>
<p><span class="math-container">$$y= a +bx$$</span>
<span class="math-container">$$\log(y)=a+ b\log(x)$$</span>
<span class="math-container">$$\log(y)=a+ bx$$</span></p>
<hr />
<p>Variables measured in the large dataset:</p>
<p>Daily Mean Temperature</p>
<p>Daily Total Rainfall</p>
<p>Daily Total Sunshine</p>
<p>Daily Maximum Relative Humidity</p>
<p>Daily Mean Windspeed</p>
<p>Daily Maximum Gust</p>
<p>Daily Mean Wind Direction</p>
<p>Daily Maximum Gust Direction</p>
<p>Cloud Cover</p>
<p>Visibility</p>
<p>Pressure</p>

CC BY-SA 4.0
2023-06-30T12:05:55.173Z
Think there was a very similar question asked around here many years ago on what variables are connected to each other, I just can't find it
JeopardyTempest
CC BY-SA 4.0
2023-07-01T17:08:35.010Z
Thanks @JeopardyTempest I will keep looking. I have also asked the question on the Math educators stack exchange in the hope of getting an answer  https://matheducators.stackexchange.com/q/26587/3407
Bysshed
<meteorology><correlation>
Linear and non linear relationship in MET office data - A-level maths
Bysshed
# Linear and non linear relationship in MET office data - A-level maths

(Asked by: username_0 on 2023-06-29)

I am looking for relationships between different variables in a set of MET office data. The data set is for the months May to October in 2015 and 1987 in various places in the UK. The variables measured are listed at the bottom of this post.

To add some context, the data set is part of the A-level maths specification [(spreadsheet linked here)](https://qualifications.pearson.com/content/dam/pdf/A%20Level/Mathematics/2017/specification-and-sample-assesment/Pearson%20Edexcel%20GCE%20AS%20and%20AL%20Mathematics%20data%20set%20-%20Issue%201%20(1).xls).

> I am interested in how this data set would be analysed in a meteorological setting and replicate it in a maths lesson

An example would be to calculate the PMCC and perform a hypothesis test to see if it is statistically significant.

For example, one linear relationship would be between sunshine and cloud cover
[![enter image description here](https://i.sstatic.net/zVvS5.png)](https://i.sstatic.net/zVvS5.png)

I lack the knowledge to know which variables would be connected and their relationships. It would be ideal to discover linear relationships of the form:

$$y= a +bx$$
$$\log(y)=a+ b\log(x)$$
$$\log(y)=a+ bx$$

---

Variables measured in the large dataset:

Daily Mean Temperature

Daily Total Rainfall

Daily Total Sunshine

Daily Maximum Relative Humidity

Daily Mean Windspeed

Daily Maximum Gust

Daily Mean Wind Direction

Daily Maximum Gust Direction

Cloud Cover

Visibility

Pressure

**Tags:** meteorology, correlation

> **Comments:**
> **username_1**: Think there was a very similar question asked around here many years ago on what variables are connected to each other, I just can't find it  
> **username_0**: Thanks @username_1 I will keep looking. I have also asked the question on the Math educators stack exchange in the hope of getting an answer  https://matheducators.stackexchange.com/q/26587/3407  

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## 0 answers

