Question

Let's assume the first scatter plot shown is showing the amount of animals a person has for x and for y it is showing the amount of times per month they need to vacuum. Would this data show a positive correlation between animals owned and number of times vacuuming per month? For the second plot lets assume x is time of day and y is number of traffic accidents for that time of day. Would this plot show a negative correlation for traffic accidents relating to time of day? Would it be safe to say that both of these scenarios appear linear?

Answer 1

Hello,

1)

To understanding this problem first we have to understand the correlation definaion.

correlation is logical relationship between the two variables and strength of the correlation is measured by the correlation coeficiant.

the simplest we to understand graphically by scatter plot method.

"Let's assume the first scatter plot shown is showing the amount of animals a person has for x and for y it is showing the amount of times per month they need to vacuum. Would this data show a positive correlation between animals owned and number of times vacuuming per month?"

While looking at this sentence, there no logical relation ship between the two variables. i.e there is no direct or indirect impact between the two variables.

2)

"For the second plot lets assume x is time of day and y is number of traffic accidents for that time of day. Would this plot show a negative correlation for traffic accidents relating to time of day? Would it be safe to say that both of these scenarios appear linear?"

In this problem, it looks like there is positive relationship between the two variables.

As the time increases then number of accidents increases. so both are increasing that means there is positive relationship between the two variables.

As the number of accidents is measured in the count, that means it might be follows the Possion distribution.

Thanks