Questions 2-7 will all be in regards to this data set: observation x y1 20 302 23 353 28 404 26 385 24 376 32 457 35 508 24 349 31 4210 23 32what is the pearson's coefficient of correlation for the data set above?

r =0.4437

Step-by-step explanation:

We have the follwoing dataset:

X: 20,23,53,4,24,32,35,24,31,23

Y: 30,35,40,38,37,45,50,34,42,32

n=10

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:

For our case we have this:

n=10  

Th excel figure attached shows the calculations for each sum.

So then the correlation coefficient would be r =0.4437