by BlastRoom
Compute a residual, read a residual plot, and judge whether a linear model suits the data.
#algebra_i

20 questions
One question set, multiple game modes. Tap any game to see it in action. Not sure which to pick?
Answer to place stones and capture territory.
Outrun the snow together.
Earn blasts, then hunt the other team.
Answer to earn energy, then climb.

The class blasts through walls together.
Bid on mystery lots. Most money wins.
Sell tours. Nice, standard, or a total scam.
Answer, restock, and serve the rush.
More correct answers pulls the rope your way.
Answer, then shoot down the alien wave.
Answer, then tap to leap the frozen ridge.
A line of best fit predicts a seedling's height in week 6 as 41.5 centimeters. The seedling actually measured 46 centimeters that week. What is the residual for week 6?
A least-squares line predicts a test score with y = 6x + 52, where x is hours studied. A student who studied 4 hours scored 71. What is the residual for that student?
The table gives the observed and predicted plant heights for three sunshine amounts. Find the residual for the row with 5 hours of sunshine.

A model for a used car's value predicts $8,400 after five years. One car of that age actually sold for $7,950. What is the residual for this car?
One point on a scatter plot is (8, 34.6). The line of best fit gives y = 30.2 when x = 8. What is the residual at x = 8?
A cooling model is y = -3.5x + 90, where x is minutes and y is degrees Celsius. At 12 minutes the water measured 50 degrees Celsius. What is the residual at 12 minutes?
One data point in a linear model has a negative residual. What does that say about the model's prediction for that point?
In a model of a city's yearly rainfall, the residual for 2020 is +6.3 millimeters. What does that residual say about the rainfall in 2020?
A data point whose residual is 0 lies exactly on the line of best fit.
A linear model overestimates a runner's finishing time for one race. What must be true of the residual for that race?
A model of concert ticket sales gives one concert a residual of -240 tickets. What happened at that concert?
The residual plot shown comes from a linear model of study hours and test scores. What does the pattern of the residuals suggest about the model?

A student fitted a linear model to a ball's height over time and drew the residual plot shown. Should the linear model be kept?

For a linear model, the residuals are tiny for small x values and spread further and further apart as x grows. What does this pattern mean?
The residual plot shown is for a linear model of a store's daily sales. Which statement describes how well the model fits the data?

A student says a linear model fits well because every residual is positive and small. What is wrong with that reasoning?
The residual plot shown is for a linear model of a truck's fuel use on six trips. What does it show about the model's predictions?

When two linear models are compared on the same data, the model with the larger residuals is the better fit.
Two linear models are fitted to the same data. Model P's residual plot curves, while Model Q's residuals scatter randomly with a similar spread. Which model should be used?
For the same data, model A has a sum of squared residuals of 48 and model B has a sum of 12. Which model fits the data better?
Crack the passcode before the zombies get in.
Answer, then swat bugs for bonus points.
Race through questions at your own speed.
Same question on every screen. Fastest wins.

Pick a tile, answer, hit bonuses and steals.
EOC Review: Linear Functions
40 questions