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Elementary Statistics: Quiz 12: Linear Regression and Correlation

Module by: Susan Dean, Barbara Illowsky, Ph.D.

Summary: 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.

Exercise 1

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

Exercise 2

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

Exercise 3

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

Exercise 4

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.

Exercise 5

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

Exercise 6

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.

Exercise 7

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

Exercise 8

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

Exercise 9

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

Exercise 10

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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