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# 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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