<p class="paragraph-header">Independent & Dependent Variables</p>
<p>In a set of bivariate data (set of data comprising 2 variables. E.g. $x$ and $y$ ), one of the variables <strong>may </strong> affect another value. However, it is not always evident that which one is the dependent variable. </p>
<ol class="i-list"><li><div class="list-item-paragraph"><strong>Independent variable:</strong> The input variable or the controlled variable.</div></li><li><div class="list-item-paragraph" style="margin-bottom: 1rem"><strong>Dependent variable: </strong>The output variable or the variable we want to predict.</div></li></ol>
<p>For each of the following, state which is the independent variable and dependent variable respectively. </p>
<ol class="i-list"><li><div class="list-item-paragraph">An experiment was carried out to examine the amount of yield, $y$ kg, of an industrial process by changing the surrounding 	temperature, ${{x}^{\circ }}$C.</div></li><li><div class="list-item-paragraph">Surrounding room air temperature, ${{x}^{\circ }}$C, and the input temperature of a thermostat, $y{}^\circ $C. </div></li><li><div class="list-item-paragraph">Time spent practising for mathematics test, $x$ hours, and the test score obtained for the test, $y$ marks.</div></li><li><div class="list-item-paragraph">The IQ score, $x$, of a person and his height, $y$ cm. </div></li><li><div class="list-item-paragraph" style="margin-bottom: 1rem">The mathematics Test score, $x$, and History test score, $y$, obtained. </div></li></ol>
<p class="paragraph-header">Scatter Diagrams and Correlation</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1766998555758-9ldx8u51jih.png" style="max-width: min(650px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>

In a set of bivariate data (set of data comprising 2 variables. E.g. $x$ and $y$ ), one of the variables **may ** affect another value. However, it is not always evident that which one is the dependent variable. 

**Independent variable:** The input variable or the controlled variable.

**Dependent variable: **The output variable or the variable we want to predict.

For each of the following, state which is the independent variable and dependent variable respectively. 

An experiment was carried out to examine the amount of yield, $y$ kg, of an industrial process by changing the surrounding 	temperature, ${{x}^{\circ }}$C.

Surrounding room air temperature, ${{x}^{\circ }}$C, and the input temperature of a thermostat, $y{}^\circ $C. 

Time spent practising for mathematics test, $x$ hours, and the test score obtained for the test, $y$ marks.

The IQ score, $x$, of a person and his height, $y$ cm. 

The mathematics Test score, $x$, and History test score, $y$, obtained. 

Correlation & Regressions

International Baccalaureate Higher Level Mathematics

Correlation and Regressions (Variables, Scatter Diagrams and Correlation)

Correlation and Regressions (Variables, Scatter Diagrams and Correlation)

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