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Chapter 12: Q.12.8 (page 694)
For a given line of best fit, you compute that using data points, and the critical value is 0.666. Can the line be used for prediction? Why or why not?
The critical value associated with degrees of freedom is .Therefore, is insignificant.
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For each of the following situations, state the independent variable and the dependent variable.
a. A study is done to determine if elderly drivers are involved in more motor vehicle fatalities than other drivers. The number of fatalities per driver is compared to the age of drivers.
b. A study is done to determine if the weekly grocery bill changes based on the number of family members.
c. Insurance companies base life insurance premiums partially on the age of the applicant.
d. Utility bills vary according to power consumption.
e. A study is done to determine if a higher education reduces the crime rate in a population.
The scatter plot shows the relationship between hours spent studying and exam scores. The line shown is the calculated line of best fit. The correlation coefficient is .
Do there appear to be any outliers?
Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where is the number of endorsements the player has and is the amount of money made (in millions of dollars).
| x | y | x | y |
| 0 | 2 | 5 | 12 |
| 3 | 8 | 4 | 9 |
| 2 | 7 | 3 | 9 |
| 1 | 3 | 0 | 3 |
| 5 | 13 | 4 | 10 |
What is the y-intercept of the line of best fit? What does it represent?
Amelia plays basketball for her high school. She wants to improve to play at the college level. She notices that the number of points she scores in a game goes up in response to the number of hours she practices her jump shot each week. She records the following data:
| (hours practicing jump shot) | (points scored in a game) |
| 5 | 15 |
| 7 | 22 |
| 9 | 28 |
| 10 | 31 |
| 11 | 33 |
| 12 | 36 |
Construct a scatter plot and state if what Amelia thinks appears to be true.
Due to erosion, a river shoreline is losing several thousand pounds of soil each year. A linear equation that expresses the total amount of soil lost per year is .
What is the y-intercept? Interpret its meaning.
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