Elementary Statistics: Quiz 12: Linear Regression and Correlation
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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Last edited by James Cooper on Oct 24, 2008 6:39 pm GMT-5.