T3U12 Residual Plots Practice

Match the following

• strong positive correlation

• -0.97

• strong negative correlation

• -0.44

• weak positive correlation

• +0.31

• weak negative correlation

• +0.99

Tags

CCSS.6.NS.C.6A

After performing a linear regression on a set of data, Jackie examined the residual plots. Which residual plot indicates that the linear model was a good fit?

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• 
• 
• 

Answer explanation

GOOD residual plots have RANDOM scatter.

They do NOT have any patterns or clusters of points

A residual plot compares the residual values (dependent variable) to the predicted values. Which of the following residual plots indicate that the regression model is a "good fit" to the data?

Select two residual plots.

• 
• 
• 
• 
• 

Answer explanation

The residual plot of a linear scatter plot will have RANDOM scatter.

They do NOT have any patterns or clusters of points

Tags

CCSS.HSS.ID.B.6B

A linear model was used for a data set and produced the residual plot shown. Based on the residual plot, which statement is true about the model?

• The model is likely a good fit because the plot shows a random pattern

• The model is likely not a good fit because the plot shows a random pattern

• The model is likely not a good fit because the plot shows a non-random pattern

• The model is likely a good fit because the plot shows a non-random pattern

Answer explanation

The residual plot of a linear scatter plot will have RANDOM scatter.

They do NOT have any patterns or clusters of points

Tags

CCSS.HSS.ID.B.6B

The table below shows the relationship between total fat grams and total calories in a selection of fast food sandwiches.

Using the set of data given above, a linear regression model was calculated, where y represents the amount of calories and x represents total fat (in grams)

y = 13.1x + 145.17

What is the residual when x = 21?

• -0.27

• 0.27

• 420

• 420.27

Tags

CCSS.HSS.ID.B.6B

A linear regression was taken that produced the following residual plot. The residual plot of a data set is shown. Which statement is true?

• Graph B shows non-linear fit because there is a distinct pattern to the data points

• Graph B shows non-linear fit because there is not a distinct pattern to the data points

• Graph B shows linear fit because there is a distinct pattern to the data points

• Graph B shows linear fit because there is not a distinct pattern to the data points

Answer explanation

The residual plot of a linear scatter plot will have RANDOM scatter.

They do NOT have any patterns or clusters of points

Tags

CCSS.HSS.ID.B.6B

The table below shows the relationship between total fat grams and total calories in a selection of fast food sandwiches.

Using the set of data given above, a linear regression model was calculated, where y represents the amount of calories and x represents total fat (in grams)

y = 13.1x + 145.17

When x = 45, what is the predicted value? Choose the option that is rounded to the nearest hundredth correctly

(a)  

• 734.67
• 735

• 734.7

• 734.66

• 734.68

Which correlation coefficient indicates the strongest relationship between the two variables in the data set?

Tags

CCSS.HSS.ID.B.5

Which of these scenarios most likely suggests causation?

• The number of social media posts made and the final grade in a class

• The time the car radio has been playing and the amount of gas left in the car

• The number of friends on social media and the number of friends in real life

• An increase in the width of the sides of a rectangle and an increase in the area of the rectangle

Tags

CCSS.HSS.ID.C.9

The data in the table shows the heights of ​6 pairs of brothers and sisters. ​Heights are rounded to the nearest ​inch.

What is the value of the correlation coefficient correctly rounded to the nearest hundredths?

Mathematical Equivalence

ON

Tags

CCSS.HSS.ID.C.8