herewe are keeping things little bit randombut we are creating real relationship between these two sets of values for given userthere' real relationship between the page speeds they encounter and the amount that they spend if we plot that outwe can see the following outputyou can see that there' actually this little curve where things tend to be tightly aligned things get little bit wonky near the bottomjust because of how random things work out if we compute the covariancewe end up with much larger value- and it' the magnitude of that number that matters the signpositive or negativejust implies positive or negative correlationbut that value of says that' much higher value than zero so there' something going on therebut again it' hard to interpret what actually means that' where the correlation comes inwhere we normalize everything by the standard deviations as shown in the following codeefgdpssfmbujpo  tueefwy tue tueefwz tue sfuvsodpwbsjbodf  tueefwytueefwz*osfbmmjgfzpv edifdlgps ejwjefcz[fspifsf dpssfmbujpo qbhf qffetqvsdibtf"npvou