Question

jamal wants to determine how much bottled water he should stock in his store on any given day. he believes that sales of bottled water are much higher on hotter days. to test this hypothesis, jamal tracked his water bottle sales over several days. he recorded the high temperature (in celsius), x, and the number of bottles sold, y, each day. the least squares regression line of this data set is: y = 3.699x + 46.722 how many bottles of water does this line predict jamal would sell on a day with a high temperature of 37.05 degrees celsius? round your answer to the nearest integer. bottles

Explanation:

Step1: Substitute the value of \(x\) into the regression equation

Given the regression equation \(y = 3.699x+46.722\) and \(x = 37.05\).
Substitute \(x\) into the equation: \(y=3.699\times37.05 + 46.722\).
First, calculate \(3.699\times37.05\):

$$
LATEXBLOCK0
$$

Step2: Calculate the value of \(y\)

Now, find \(y\): \(y=137.04995 + 46.722\).

$$y=137.04995+46.722 = 183.77195$$

Step3: Round the result

Round \(183.77195\) to the nearest integer. Since the decimal part \(0.77195>0.5\), we round up.

Answer:

\(184\)