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Prediction (Optional) Quiz

12 questions math Grades 9-12

The question sheet

Reveal any answer as you study
  1. 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

  2. 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.

  3. 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.

  4. 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.

  5. 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.

  6. 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.

  7. 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.

  8. 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?

  9. 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.

  10. 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.

  11. 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.

  12. 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.

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