Assess Readiness
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On this graph, what do the independent and dependent variables represent?
The independent variable represents the lead actor's pay, and the dependent variable represents profit of the movie.
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What needs to be true of a line of best fit?
Answers vary; encourage students to discuss that a line of best fit should include equal distribution of points around the line and should follow the trend of the data.
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Is a correlation reflected in the data? If so, is it positive or negative? How do you know?
A positive correlation is reflected. Possible explanation: as lead actor pay increases, the profit of the movie increases.
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Will the slope of the line be positive or negative? How do you know?
Positive, because the line is increasing from left to right.
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What is the slope of the line? How do you know?
\frac{1}{2} , because slope =\frac{y_2-y_1}{x_2-x_1} =\frac{4-2}{5-1}=\frac{2}{4}=\frac{1}{2} . -
Using point A and the slope, what is the y-coordinate of the y-intercept of the line? How do you know?
1.5 , becausey=mx+b , and using the coordinates of point A gives you2=\frac{1}{2}(1)+b , sob=1.5 .
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