Question

1. in preparation for a hot dog eating contest, a competitive eater compiled data for how many hot dogs they ate (y) per day (x). the lsrl for the data is shown below, along with the correlation coefficient: (hat{y} = 1.14x + 2.06), (r = 0.85)

a) according to his calculations, if he follows this trend line until the end of the month (day 30) he should win the competition. how many hot dogs does he expect to eat?

Explanation:

Step1: Identify given values

$x=30$, $\hat{y}=1.14x + 2.06$

Step2: Substitute $x$ into the equation

$\hat{y}=1.14\times30 + 2.06$

Step3: Calculate the result

$\hat{y}=34.2 + 2.06 = 36.26$

Answer:

36.26 (or 36 if rounding to a whole number of hot dogs)