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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=1.148x–92.855If a piece of candy has 92 milligrams of the additive, how long does the line predict it would take to dissolve completely?Round your answer to the nearest integer. minutes

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=1.148x–92.855If a piece of candy has 92 milligrams of the additive, how long does the line predict it would take to dissolve completely?Round your answer to the nearest integer. minutes

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Solution

To find out how long it would take for the candy to dissolve completely, we need to substitute the given amount of additive (92 milligrams) into the equation of the least squares regression line.

The equation is: y = 1.148x - 92.855

Substituting x = 92, we get:

y = 1.148 * 92 - 92.855

Now, calculate the value of y:

y = 105.616 - 92.855 = 12.761

Rounding to the nearest integer, we get 13 minutes. So, the line predicts it would take approximately 13 minutes for the candy to dissolve completely.

This problem has been solved

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