Curriculum
Course: Statistics — Third Secondary
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Curriculum

Statistics — Third Secondary

Unit 1: Correlation and Regression

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Unit 2: Advanced Statistical Measures

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Unit 3: Probability

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Unit 4: Random Variables

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Unit 5: The Normal Distribution

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Quiz

Regression — Lesson quiz

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  • Questions count: 6
  • Passing grade: 60%
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1.
In the regression equation ŷ = a + bx, what does b represent?
The mean of the y values
The slope, the expected change in y when x increases by one unit
The value of y when x = 0
The correlation coefficient between x and y
2.
In the least squares method, the sum of the squared differences between actual and predicted y should be:
as large as possible
zero always
as small as possible
equal to the number of data values
3.
Find the slope b for x: 1, 2, 3, 4, 5 and y: 2, 4, 6, 8, 10.
0.5
5
−2
2
4.
If ȳ = 16 ÷ 5 = 3.2, x̄ = 3 and b = −1, find a.
0.2
3.2
6.2
−2.8
5.
For x: 3, 5, 7, 9 and y: 12, 10, 6, 2, what is the predicted value of y at x = 6 using the regression line of y on x?
27.9
10.2
7.5
17.7
6.
For x: 3, 5, 7, 9 and y: 12, 10, 6, 2, is the prediction of y at x = 11 reliable?
Yes, because the line passes through (x̄, ȳ)
Yes, because r is close to −1, which guarantees accuracy
No, because regression is never used for prediction
No, because it is extrapolation outside the data range and gives an unreasonable negative value
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