
Chapter 6 Quiz (Data Science)
Quiz
•
Mathematics
•
11th Grade
•
Practice Problem
•
Medium
+3
Standards-aligned
Rebecca Zielkowski
Used 10+ times
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20 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Why is the mean a good model?
Because the mean is a model that balances the residuals and minimizes the sum of squared residuals
Because the mean is the best model for all categorical variables
Because the mean is the only true statistical model that can represent a population parameter
Because the mean is the best model whenever you make a visualization of data
Tags
CCSS.HSS.ID.B.6A
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
If a data point is very far away from the mean, what would you expect for the residual?
When farther away, the more variable the residual
When farther away, the more positive the residual
When a data point is very far away from the mean, the residual should be 0, because the mean balances the residuals.
When farther away, the larger the absolute value of the residual
Tags
CCSS.HSS.ID.B.6B
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What's true of the distribution of any variable, if your model is the mean of that variable?
The distribution of the variable is more narrow than the distribution of its residual.
The distribution of the variable is the same shape as the distribution of its residual.
The distribution of the variable is always centered on a number lower than the distribution of the residual is centered on.
The distribution of the variable is always centered on 0, whereas the center of the distribution of its residual is unpredictable.
Tags
CCSS.HSS.ID.B.6B
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
If you ran the R code, what would you be able to tell from the output?
How much error there is around the empty model
the mean
All of the above
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
If you ran the R code, what would you be able to tell from the output?
How much error there is around the empty model
The sum of the squared residuals
The sum of squares
all of the above
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The sum of squares gets larger as:
The variation increases
The sample size increases
The spread of the distribution increases
All of the above
Tags
CCSS.6.SP.B.5C
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Let's say you've calculated the sum of squares for Thumb in the Fingers data frame. What would the advantage be of dividing that number by n−1?
It turns the sum of squares into a measure of spread.
You can use it to compare error across samples of different sizes.
You would have calculated the population variance.
None of the above. There's no advantage of dividing SS by n-1.
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