Math Problem Statement
A restaurant wanted to determine the average rate that its sweet tea is purchased. An employee gathered data on the amount of sweet tea remaining in the machine, y, for several hours after the machine was filled, x. The following scatter plot and line of fit was created to display the data.
scatter plot titled sweet tea machine with the x axis labeled time in hours and the y axis labeled amount of sweet tea in fluid ounces, with points at 1 comma 30, 1 comma 35, 2 comma 27, 3 comma 24, 3 comma 30, 4 comma 25, 5 comma 18, 5 comma 22, 6 comma 10, 6 comma 14, 7 comma 0, and 7 comma 5, with a line passing through the coordinates 0 comma 39 and 8 and a half comma 0
Find the y-intercept of the line of fit and explain its meaning in the context of the data.
The y-intercept is −4.5. The machine starts with 4.5 ounces of sweet tea. The y-intercept is −4.5. The machine loses about 4.5 fluid ounces of sweet tea each hour. The y-intercept is 39. The machine starts with 39 ounces of sweet tea. The y-intercept is 39. The machine loses about 39 fluid ounces of sweet tea each hour.
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Regression
Statistics
Formulas
y = mx + b
Theorems
Point-slope form
Linear regression analysis
Suitable Grade Level
Grades 8-10
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