Linear Regression Quiz

The residual plots from five different least squares regression lines are shown below. Which of the plots shows the strongest evidence that its regression line is an appropriate model for the data and is consistent with the assumptions required for inference for regression?

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Tags

CCSS.HSS.ID.B.6B

The scatter plot shows the number coffee shops in different cities and the number of violent crimes. Which of the following is NOT true?

• A) As the number of coffee shops increase, violent crimes appears to increase.

• B) The line of best fit (regression line) shows a positive correlation

• C) The data has a positive correlation coefficient

• D) An increase in coffee shops causes an increase in violent crimes

Tags

CCSS.HSS.ID.C.9

• Positive, strong
• Positive, weak
• Negative, strong
• Negative, weak

Tags

CCSS.HSS.ID.B.5

predicted math grade = 65 + 2.56(study hours)

What does the slope mean in context?

• The model predicts an increase of 2.56 points in the math grade per hour studied, on average.

• The model predicts an increase of 65 points in the math grade per hour studied, on average.

• The model predicts an increase of 2.56 study hours per math grade, on average.

• The model predicts an increase of 2.56 study hours, on average.

Tags

CCSS.HSF.LE.B.5

predicted cost = 3 + 4.1(length of movie in hours)

Suppose a movie is 2 hours long and costs $12.50 to see at the theater. According to the model, what is the residual? Is this good or bad?

• $1.30 ; good!

• $1.30 ; bad!

• -$1.30 ; good!

• -$1.30 ; bad!

Tags

CCSS.8.EE.C.8C

The table below shows the number of apples an orchard harvested in different years. What is the meaning of the y-intercept of the line of best fit for the data?

• There were 2015 thousand apples harvested in 1985

• There were 875 thousand apples harvested in 1985

• There were 400 thousand apples harvested in 1985

• There were 95 thousand apples harvested in 1985

Tags

CCSS.HSF.LE.B.5

• 50 miles

• -50 miles

• 8 miles

• -25 miles

Tags

CCSS.8.EE.C.8C

When using midterm exam scores to predict a student's final grade in the class, the student would prefer to have

• positive residual, because that means the student's final grade is higher than we would predict with the model

• positive residual, because that means the student's final grade is lower than we would predict with the model

• residual equal to zero, because that means the student’s final grade is exactly what we would predict with the model

• negative residual, because that means the student’s final grade is higher than we would predict with the model

Tags

CCSS.HSS.ID.B.6B

• We predict that for every mile driven, 61.93 hours has passed

• We predict that for every mile driven, 1.79 hours has passed

• We predict that for every hour driven, 1.79 miles is covered

• We predict that for every hour driven, 61.93 miles is covered

Tags

CCSS.HSF.LE.B.5

A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilogram). In this study, the explanatory variable is ...

• amount of eroded soil

• rate of water flow

• size of soil bed

• depth of soil bed

Tags

CCSS.HSF-LE.A.1B