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Prob and Stats Linear Regression

James Herd 9 questions

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Questions in this quiz (9)

  1. 1(1 point) For a certain population, the regression equation to predict salary (in dollars) from education (in years) is y=2530x + 5200.

    What are the units of 2530 ?

    Choose the correct answer. You have only one attempt.
    1. AYears per dollar
    2. BYears
    3. CDollars per year
    4. DDollars
    5. ENone of the other listed answers
  2. 2(1 point) For a certain population, the regression equation to predict salary (in dollars) from education (in years) is y=2530x + 5200.

    What are the units of 5200 ?

    Choose the correct answer. You have only one attempt.
    1. AYears per dollar
    2. BYears
    3. CDollars per year
    4. DDollars
    5. ENone of the other listed answers
  3. 3(1 point) [Continued from previous] Bob is one of the persons from this population who had 12 years of education. When he sees the result of the study, he says to himself, " If only I had gone to college, I could have made more money! I think I'll go back to school and at least get two years of college; according to the regression equation, my salary will increase by about \$ 5,060. " Is Bob right or wrong, and why?

    Choose the correct answer. You have only one attempt.
    1. ARight, because the slope is 2530, so if x increased by 2,\; y increases by 2530 \times 2 =
      5060.
    2. BWrong, because 5,060 is only how much salary will increase on average when education increases by 2 years
    3. CWrong, because correlation does not imply causation
  4. 4(1 point) For a certain population, the regression equation to predict weight (in pounds) from height (in inches) is

    y=6x-240
    .

    What are the units of 6?

    Choose the correct answer. You have only one attempt.
    1. APounds per inch
    2. BPounds
    3. CInches
    4. DInches per pound
  5. 5(1 point) For a certain population, the regression equation to predict weight (in pounds) from height (in inches) is

    y=6x-240.


    What are the units of -240?

    Choose the correct answer. You have only one attempt.
    1. AInches per pound
    2. BInches
    3. CPounds
    4. DPounds per inch
  6. 6(1 point) For a certain population, the regression equation to predict weight (in pounds) from height (in inches) is

    y=6x-240.


    True or false: According to the regression method, each extra inch in height is associated with an extra 6 pounds in weight, on average, for this population.

    Choose the correct answer. You have only one attempt.
    1. AFalse, because height does not cause weight
    2. BFalse, the quantities are reversed
    3. CTrue
  7. 7(1 point) [Continued from previous] For a certain population, the regression equation to predict weight (in pounds) from height (in inches) is

    y=6x-240.


    If someone in this population diets and exercises to lose weight, and he loses 30 pounds, what does regression predict will happen to his height?

    Choose the correct answer. You have only one attempt.
    1. AHe will lose about 5 inches in height
    2. BHe will lose height, but not necessarily 5 inches
    3. CRegression does not predict anything about his height if he loses weight
  8. 8(1 point) Suppose r=0.95 for a data set. Without knowing anything else, select the statements that are true.

    Select all that apply. You have only one attempt.
    1. AThere are no outliers.
    2. BThere is no nonlinear pattern in the data.
    3. CThe points all nearly lie on a line.
    4. DThere is strong positive linear correlation.
    5. ENone of the above.
  9. 9(1 point) Suppose r=0.60 for a data set whose scatterplot is oval-shaped. Select the statements that are true.

    Select all that apply.
    1. AEach SD of x is associated with 0.6 SDs of y, on average, for the data.
    2. BAbout 60% of the data pairs show linear correlation.
    3. CIf we swap x and y, then r will still be 0.60
    4. DNone of the above are true.

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Quiz on Prob and Stats Linear Regression, created by James Herd on 24/10/2018.
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English
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