Complete the following questions to practice the skills you have learned in this lesson.
1. The scatter plot shows the number of times a player came to bat and the number of hits they had.
The scatter plot includes a point at . Describe the meaning of this point in this situation.
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For every 80 at bats, there are 318 hits.
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For every 318 at bats, there are 80 hits.
For questions 2—5, use the following to answer each question.
The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of waitstaff available at the time.
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A line that models the data is given by the equation , where represents the wait time, and represents the number of waitstaff available.
- The slope of the line is . What does this mean in this situation?
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When there are 18 staff people, there is no wait time
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When there are 0 staff people, the wait time is 18 minutes
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For every wait time increase of 1 minute the staff people increase by 1.62
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For every increase of 1 staff person, the wait time decreases 1.62 minutes
- The slope of the line is . Is it realistic to conclude, for this slope, as increases, will decrease?
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No
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Yes
- The -intercept is . What does this mean in this situation?
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When there are 18 staff people, there is no wait time
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When there are 0 staff people, the wait time is 18 minutes
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For every wait time increase of 1 minute the staff people increase by 1.62
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For every increase of 1 staff person, the wait time decreases 1.62 minutes
- The -intercept is . Is this a realistic -intercept point if represents the wait time and represents the number of staff available?
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No
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Yes
- The company’s pricing plan states that the usage rate is constant for any number of minutes connected to the Internet. The number of minutes is related to the cost in dollars and has a linear relationship. The equation of the line is . What does the slope represent in this situation?
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For every 3 minutes of internet usage, the price increases 1 cent.
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For every minute of internet usage, the price increases 3 cents.
- Below is a scatter plot of the data with two linear models, and . Which of these two models does a better job of describing how shoe length and height (in inches) are related?
- The scatter plot below displays the elevation and median number of clear days per year of 14 U.S. cities. Two lines are shown on the scatter plot. Which line fits the data better?
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Line 2
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Line 1
- According to the scatter plot below, what claim can be made about women’s shoe length and height?
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As a woman’s shoe length increases, their height also tends to increase.
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As a woman’s shoe length increases, their height decreases.
For questions 10 – 12, use the scatter plot below.
This scatter plot shows foal birth weight and mare’s weight.
- What does the slope mean of a linear model on this scatter plot?
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the increase in mare weight in kg for each kg increase in foal weight
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the increases in foal weight in kg for each kg increase in mare weight
- Will the -intercept of a linear model make sense in this problem?
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No
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Yes
- What does the point mean in this problem?
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A mare weighing 548 kg weighed 108 kg as a foal
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A mare that was 548 kg now weighs 108 kg