Prediction (Optional) Quiz
The question sheet
Reveal any answer as you study-
When making a scatter plot for the driver deaths data, which is used as the independent variable?
- Number of driver deaths
- Age
- Area in square miles
- Year of birth
Reveal answer
Answer: Age
Source evidence
PDF page 694: b. Using age as the independent variable and number of driver deaths per 100,000 people as the dependent
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For the 75+ age group, what x value should be used?
- 85
- 75
- 70
- 80
Reveal answer
Answer: 80
Source evidence
PDF page 694: a. For each age group, pick the midpoint of the interval for the x value. For the 75+ group, use 80.
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In what form should the least-squares line be written?
- x = a + by
- y = mx + c
- ŷ = a + bx
- ŷ = bx − a
Reveal answer
Answer: ŷ = a + bx
Source evidence
PDF page 694: c. Calculate the least-squares (best–fit) line. Put the equation in the form ŷ = a + bx.
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In the driver deaths task, for which two ages are you asked to predict deaths?
- 40 and 60 years
- 30 and 80 years
- 50 and 70 years
- 20 and 40 years
Reveal answer
Answer: 40 and 60 years
Source evidence
PDF page 694: e. Predict the number of deaths for ages 40 years and 60 years.
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After finding the slope of the best-fit line, what else are you asked to do?
- Interpret the slope
- Square the slope
- Reverse the slope
- Ignore it
Reveal answer
Answer: Interpret the slope
Source evidence
PDF page 694: g. What is the slope of the least-squares (best-fit) line? Interpret the slope.
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For the life expectancy data, the independent variable is:
- Life expectancy
- Rank
- Area
- Year of birth
Reveal answer
Answer: Year of birth
Source evidence
PDF page 694: Year of Birth Life Expectancy in years
PDF page 694: a. Decide which variable should be the independent variable and which should be the dependent variable.
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For the life expectancy task, estimates are requested for individuals born in:
- 1950 and 1982
- 1850 and 1950
- 1900 and 1940
- 1932 and 1984
Reveal answer
Answer: 1950 and 1982
Source evidence
PDF page 694: e. Find the estimated life expectancy for an individual born in 1950 and for one born in 1982.
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Why do the Part E life expectancy answers differ from the table values?
- They are outliers
- They come from a fitted line
- Table values are wrong
- Different units used
Reveal answer
Answer: They come from a fitted line
Source evidence
PDF page 695: f. Why aren’t the answers to Part E the same as the values in Table 12.21 that correspond to those years?
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Which of the two Part E points is used to plot the least-squares line?
- The two points in Part E
- The midpoints
- Only outliers
- Table values
Reveal answer
Answer: The two points in Part E
Source evidence
PDF page 695: g. Use the two points in Part E to plot the least-squares line on your graph from Part B.
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For a birth year of 1850, the question asks whether the least-squares line gives:
- A negative slope
- A scatter plot
- An accurate estimate
- A correlation coefficient
Reveal answer
Answer: An accurate estimate
Source evidence
PDF page 695: j. Using the least-squares line, find the estimated life expectancy for an individual born in 1850. Does the least-
PDF page 695: squares line give an accurate estimate for that year? Explain why or why not.
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In the restaurant page-number data, which is the dependent variable?
- Page number
- Age
- Maximum value
- Year
Reveal answer
Answer: Maximum value
Source evidence
PDF page 695: Page Number Maximum Value ($)
PDF page 695: a. Decide which variable should be the independent variable and which should be the dependent variable.
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For the restaurant data, estimated maximum values are found for restaurants on which pages?
- Pages 1 and 200
- Pages 50 and 100
- Pages 10 and 70
- Pages 40 and 60
Reveal answer
Answer: Pages 10 and 70
Source evidence
PDF page 695: e. Find the estimated maximum values for the restaurants on page 10 and on page 70.
Statistics
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