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Find and interpret the y -intercept.
For the following exercise, consider this scenario: In 2004, a school population was 1,700. By 2012 the population had grown to 2,500.
Assume the population is changing linearly.
For the following exercises, consider this scenario: In 2000, the moose population in a park was measured to be 6,500. By 2010, the population was measured to be 12,500. Assume the population continues to change linearly.
Find a formula for the moose population,
What does your model predict the moose population to be in 2020?
18,500
For the following exercises, consider this scenario: The median home values in subdivisions Pima Central and East Valley (adjusted for inflation) are shown in [link] . Assume that the house values are changing linearly.
| Year | Pima Central | East Valley |
|---|---|---|
| 1970 | 32,000 | 120,250 |
| 2010 | 85,000 | 150,000 |
In which subdivision have home values increased at a higher rate?
If these trends were to continue, what would be the median home value in Pima Central in 2015?
$91,625
Draw a scatter plot for the data in [link] . Then determine whether the data appears to be linearly related.
| 0 | 2 | 4 | 6 | 8 | 10 |
| –105 | –50 | 1 | 55 | 105 | 160 |
Draw a scatter plot for the data in [link] . If we wanted to know when the population would reach 15,000, would the answer involve interpolation or extrapolation?
| Year | Population |
| 1990 | 5,600 |
| 1995 | 5,950 |
| 2000 | 6,300 |
| 2005 | 6,600 |
| 2010 | 6,900 |
Extrapolation.
Eight students were asked to estimate their score on a 10-point quiz. Their estimated and actual scores are given in [link] . Plot the points, then sketch a line that fits the data.
| Predicted | Actual |
| 6 | 6 |
| 7 | 7 |
| 7 | 8 |
| 8 | 8 |
| 7 | 9 |
| 9 | 10 |
| 10 | 10 |
| 10 | 9 |
For the following exercises, consider the data in [link] , which shows the percent of unemployed in a city of people 25 years or older who are college graduates is given below, by year.
| Year | Percent Graduates |
| 2000 | 6.5 |
| 2002 | 7.0 |
| 2005 | 7.4 |
| 2007 | 8.2 |
| 2010 | 9.0 |
Determine whether the trend appears to be linear. If so, and assuming the trend continues, find a linear regression model to predict the percent of unemployed in a given year to three decimal places.
In what year will the percentage exceed 12%?
Midway through 2024.
Based on the set of data given in [link] , calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.
| 17 | 20 | 23 | 26 | 29 | |
| 15 | 25 | 31 | 37 | 40 |
Based on the set of data given in [link] , calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.
| 10 | 12 | 15 | 18 | 20 | |
| 36 | 34 | 30 | 28 | 22 |
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs show the population and the year over the ten-year span (population, year) for specific recorded years:
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