Question

read the following description of a data set. piquant candy company is testing a new additive designed to make its hard caramel candies dissolve more slowly. company scientists gave several taste - testers pieces of candy with varying amounts of the additive. the scientists recorded the amount of additive in each piece (in milligrams), x, and how long the taste - tester said it took to dissolve completely (in minutes), y. the least squares regression line of this data set is: y = 0.006x + 5.289. if a piece of candy has 95 milligrams of the additive, how long does the line predict it would take to dissolve completely? round your answer to the nearest integer. minutes

Explanation:

Step1: Identify the regression - line equation and the value of x

The regression - line equation is $y = 0.006x+5.289$, and $x = 95$ (the amount of additive in milligrams).

Step2: Substitute x into the equation

Substitute $x = 95$ into $y = 0.006x + 5.289$.
$y=0.006\times95 + 5.289$.
First, calculate $0.006\times95=0.57$.
Then, $y=0.57 + 5.289$.
$y = 5.859$.

Step3: Round the result

Round $y = 5.859$ to the nearest integer. Since the decimal part $0.859\gt0.5$, we round up. So $y\approx6$.

Answer:

6