What is the value of the correlation coefficient r of the data set? ! ? will give brainliest answer : ) i am so lost options: -1 -0.81 0.66 0.81

The formula for the correlation coefficient is quite messy. I suggest checking some websites discussing this and am also attaching the formula how to calculate it by hand (the ∑'s mean summation over all the elements listed.

But unless your teacher does not allow using online calculators, you can use them. I used python's function to process the data in the table and the result is approximately -0.81. So that's your answer.

Negative value like -0.81 means that the variables x and y are quite "anit-correlated" meaning the value behave like opposites: when x is small, y tends to be large, and vice versa.  

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: