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Course: Algebra 1 (Eureka Math/EngageNY)?>?Unit 2
Lesson 12: Topic D: Lesson 14: Modeling relationships with a line- Fitting a line to data
- Estimating the line of best fit exercise
- Eyeballing the line of best fit
- Describing trends in scatter plots
- Estimating with linear regression (linear models)
- Estimating equations of lines of best fit, and using them to make predictions
- Interpreting slope of regression line
- Interpreting y-intercept in regression model
- Interpreting slope and y-intercept for linear models
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Interpreting slope and y-intercept for linear models
Problem
Julio distributed a survey to his fellow students asking them how many hours they spent playing sports in the past day. He also asked them to rate their mood on a scale from to , with being the happiest. Julio created the following scatterplot and regression line to show this relationship.
The fitted line has a -intercept of .
What is the best interpretation of this -intercept?