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3.11 Quiz 12: linear regression and correlation

This module is a quiz containing 10 multiple choice questions covering topics related to linear regression and correlation. This module is part of a set of companion resources to Collaborative Statistics (col10522) by Barbara Illowsky and Susan Dean.

If there is a linear relationship between the quantity of food a person consumes per day and the person’s weight, the quantity of food a person consumes per day is the ______________.

  • A

    independent variable
  • B

    Unable to determine
  • C

    dependent variable
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A correlation coefficient for 9 pairs of data is calculated to be -0.213. Is the relationship between the variables statistically significant?

  • A

    Unable to determine
  • B

    No
  • C

    Yes
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Consider the following pairs of data (independent variable given first):

  • (17, 56)
  • (13, 48)
  • (35, 65)
  • (89, 146)
  • (55, 121)
  • (86, 130)

Calculate the Least Squares Line.

  • A

    y-hat = -20.93 + 0.73x
  • B

    y-hat = 33.33 + 1.24x
  • C

    y-hat = 1.24 + 33.3x
  • D

    y-hat = 0.73 - 20.93x
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A correlation coefficient for 6 pairs of data is calculated to be 0. Then,

  • A

    there is positive correlation between the variables.
  • B

    the Line of Best Fit has a negative slope.
  • C

    there is negative correlation between the variables.
  • D

    the Line of Best Fit has a slope of zero.
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A study is done to see if there is a linear relationship between the life expectancy of an individual and the year of birth. The year of birth is the ______________.

  • A

    Unable to determine
  • B

    dependent variable
  • C

    independent variable
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If you determine a point is an outlier, you would

  • A

    ignore it.
  • B

    always delete it and then recalculate the line of best fit.
  • C

    examine it carefully and try to determine what is causing it to be an outlier.
  • D

    use it in the calculation of the Sum of Squared Errors.
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Consider the following pairs of data (independent variable given first):

  • (17, 56)
  • (13, 48)
  • (35, 65)
  • (89, 146)
  • (55, 121)
  • (86, 130)

Find the estimated y for an x-value of 40.

  • A

    -836
  • B

    1334
  • C

    83
  • D

    8.3
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A study is done to see if there is a linear relationship between the calendar year and the population of a particular country. The calendar year is the ______________.

  • A

    dependent variable
  • B

    Unable to determine
  • C

    independent variable
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Consider the following pairs of data (independent variable given first):

  • (16, 56)
  • (10, 98)
  • (35, 105)
  • (4, 70)
  • (12, 121)

The relationship between the two variables is ______________.

  • A

    linear
  • B

    not significant
  • C

    parabolic
  • D

    exponential
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Consider the following pairs of data (independent variable given first):

  • (16, 56)
  • (10, 98)
  • (35, 105)
  • (4, 70)
  • (12, 121)

The regression line is ______________.

  • A

    steeply sloped downward
  • B

    almost horizontal
  • C

    steeply sloped upward
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Read also:

OpenStax, Collaborative statistics: supplemental course materials. OpenStax CNX. Oct 01, 2008 Download for free at http://legacy.cnx.org/content/col10586/1.2
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