In many fast food restaurants, there is a strong correlation between a menu item's fat content (measured in grams) and its calorie content. We want to investigate this relationship. Using all of the food menue items at a well known fast food restuarant, the fat content and calorie contents were measured. We decide to fit the LSRL to the data, with fat content (x) as the explanatory variable and (y) as the response variable. One of the menu items is a hamburger with 107 grams of fat and 1410 calories.

r = correlation between x and y = 0.979

x bar = mean of the values of x = 40.35 grams

y bar = mean of values of y = 662.88 calories

sx = standard deviation of the values of x = 27.99 grams

sy = standard devation of the values of y = 324.90 calories

The slope of the least-squares regressin line is

a. -11.36

b 11.36

c. 0.979

d. 16.08

The total ticket sales for a high school basketball game were $2,260. the ticket price for students were $2.25 less than the adult ticket price. the number of adult tickets sold was 230, and the number of student tickets sold was 180. what was the price of an adult ticket?

Point b lies between points a and c on . let x represent the length of segment ab in inches. use the segment to complete the statements. the value of x is . the length of in inches is . the length of in inches is .

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.