For this set of data: n=7, (sum of x)= 38, (sum of y) = 90, (sum of xy) = 503, (sum of x^2) = 270, U

Imagine you have 7 friends and you want to see how much they like ice cream. You ask each friend how many scoops of ice cream they eat in a week, and also how many times they say “yum” when they eat ice cream. The total number of scoops of ice cream your friends eat in a week is 38, and the total number of times they say “yum” is 90. When you multiply the number of scoops by the number of “yums” for each friend and add them all up, you get 503. You also keep track of how many scoops each friend eats squared (like 2×2=4, 3×3=9, etc.), and when you add all those up it equals 270. These numbers help us see the relationship between how much ice cream your friends eat and how much they enjoy it. One verifiable fact is that the sum of x^2 is 270. This means that when you square the number of scoops of ice cream each friend eats and add them all up, the total is 270.