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Question

The number of ice-cream cups sold with respect to the number of vistors at an ice-cream parlour is recorded below:


What kind of correlation exists between the number of visitors and the number of ice-cream cups sold?

A
Negative Correlation
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B
Positive correlation
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C
No correlation
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Solution

The correct option is B Positive correlation
If the dependent variable decreases with the increase in independent variable, then the scatter plot will exhibit negative correlation. It is represented as follows,



On the contrary, if dependent variable increases with the increase in the independent variable, then the scatter plot will represent positive correlation. This can be depicted as follows,



And if no clear relationship is visible between the two variables, then there will be no or zero correlation. It can be represented as follows:



Observe the given data and plot a scatter plot based on the data.

Here, number of visitors, which is an independent variable, will be plotted on x-axis and number of ice cream cups sold, a dependent variable, will be plotted on y-axis.

Thus, the scatter plot for the given plot will be,


It can be observed that the sale of ice cream cups increases with the increase in the number of visitors, i.e., the dependent variable increases with the independent variable, thus the given scatter plot will show positive correlation.

So, option (b) is correct.

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