Interpret the slope and $$y$$-intercept of a fitted line in context.
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At a restaurant, the amount of tip for the waitress or waiter is automatically calculated at 20% of the bill total. The graph below shows the amount a tip would be for 6 different bill totals.
A different restaurant does not automatically calculate the tip amount, but rather, the customers determine how much they want to leave as a tip. The graph below shows the amount of tip that 14 different customers left, based on the amount of their bill.
A line has been drawn to represent the trend in data. The equation for the line is: $${y=0.14x+2.5}$$.
After giving a test, a teacher was curious to know if there was a relationship between how a student performed on the test and how long the student spent studying. She collected data from her classes and represented it in the scatter plot below.
She found a line that best fit the data and determined the equation for the line to be: $${y=0.8x+59}$$. Which of the statements below are fair conclusions that she can make about her model? Select all that apply.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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According to the Bureau of Vital Statistics for the New York City Department of Health and Mental Hygiene, the life expectancy at birth (in years) for New York City babies is shown in the scatter plot below.
An equation for a line fit to this data is represented by: $${y=0.338x-597.4}$$.
Grade 8 Mathematics > Module 6 > Topic C > Lesson 11 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?