Comprehensive Assessment 1: Linear Models
Test knowledge of linear models, best fit lines, and data interpretation. Demonstrate understanding of concepts across structured assessment items.
Questions
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MultiChoice
A linear model for heating costs is y = -3.5x + 180 (x = outside temp °F, y = heating cost $). What is the slope?
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MultiChoice
In y = -3.5x + 180, what happens to heating cost when outdoor temperature rises by 1°F?
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MultiChoice
Predict the heating cost when the outside temperature is 20°F using y = -3.5x + 180.
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MultiChoice
Which scatter plot pattern indicates a negative correlation?
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MultiChoice
What is the primary criteria for placing a line of best fit by eye?
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MultiChoice
If a line of best fit has y = 4x - 6, what is the y-intercept?
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MultiChoice
Data was recorded for x from 5 to 25. Making a prediction for x = 18 is an example of:
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MultiChoice
Data was recorded for x from 5 to 25. Making a prediction for x = 50 is an example of:
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MultiChoice
How does an extreme high outlier affect the slope of a line of best fit?
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MultiChoice
If two variables show no association on a scatter plot, their correlation is:
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MultiChoice
Find the equation of the line passing through (0, 8) with slope -2.
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MultiChoice
For the linear model y = -2x + 8, what is y when x = 5?