Linear Regression and Correlation Quiz

What is the form of a linear equation in a statistical context?

• y = mx + b

• y = a + bx

• y = b + ax

• y = ax + b

Tags

CCSS.8.F.A.3

What does the slope (b) in the equation y = a + bx represent?

• The dependent variable

• The independent variable

• The rate of change between the independent and dependent variables

• The y-intercept

Tags

CCSS.8.EE.B.5

What is the y-intercept in the equation y = a + bx?

• The value of y when x = 0

• The value of y when x = 1

• The value of x when y = 0

• The slope of the line

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What type of graph is particularly helpful to see if there is a linear relationship among data points?

• Histogram

• Scatter plot

• Pie chart

• Bar graph

What does the correlation coefficient (r) measure?

• The y-intercept of the regression line

• The standard deviation of the residuals

• The strength of the linear association between x and y

• The slope of the regression line

Tags

CCSS.HSS.ID.C.8

What is the range of the correlation coefficient (r)?

• 0 to 100

• 0 to 1

• -1 to 1

• -2 to 2

Tags

CCSS.HSS.ID.B.5

What does the coefficient of determination (r²) represent when expressed as a percent?

• The slope of the regression line

• The percent of variation in the independent variable x explained by the dependent variable y

• The y-intercept of the regression line

• The percent of variation in the dependent variable y explained by the independent variable x

Tags

CCSS.HSS.ID.B.6B

Which of the following is NOT a condition for linear regression?

• Dependent residuals

• Linear relationship

• Equal variance

• Independent residuals

Tags

CCSS.HSS.ID.B.6B

What is the null hypothesis H0: ρ = 0 used to indicate?

• There is a linear relationship between x and y in the population

• There is no linear relationship between x and y in the population

• The slope of the regression line is zero

• The y-intercept of the regression line is zero

How can you determine if a point is an outlier using the standard deviation of the residuals (s)?

• If the absolute value of any residual is greater than or equal to 2s

• If the absolute value of any residual is less than or equal to 2s

• If the point is above y1 or below y3

• If the point is above y2 or below y3

Tags

CCSS.HSS.ID.B.6B