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Statistics - Linear Regression - Correlation Worksheet PDF

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Linear Regression & Correlation - Worksheet 

Lesson: ​Pre-Calculus 

1) Which of the following values for correlation coefficient produces a perfect negative
relationship between x and y?

a. − 0.50 c. −1
b. − 0.75 d. less than − 1

2) Given the linear regression model y = 5.3 − 0.52x , interpret the slope.

a. As x increases by 1 unit, y experiences an increase of 0.52 units.


b. As x increases by 1 unit, y experiences a decrease of 0.52 units.
c. As x increases by 1 unit, y experiences an increase of 4.76 units.
d. As x decreases by 1 unit, y experiences a decrease of 4.76 units.

3) What describes the relationship of the variables x and y in the linear regression equation:
y = 85 − 5x ?

a. There is a strong positive relationship between the two variables.


b. There is a strong negative relationship between the two variables.
c. There is weak relationship with no direction.
d. There is insufficient data to describe the relationship.

4) If the correlation coefficient is negative, then the slope of the regression line

a. must be positive c. must be negative


b. can be equal to zero d. can be positive or negative

5) In a simple linear regression, the following equation was obtained: y = 50 − 6x . Predict


the value of y when x is equal to 7.

a. 8 c. 20
b. 14 d. 26

6) What does a correlation coefficient of 0.98 mean?

a. There is a strong and positive relationship between x and y


b. There is a strong and negative relationship between x and y
c. There is a weak relationship between x and y
d. Correlation coefficients cannot have this value
7) Which of the following values for a correlation coefficient indicates that there is no
relationship between the two variables?

a. −1 c. 1
b. 0 d. None of the above

8) Which of the following pairs of situations should produce a correlation coefficient of


almost 0?

a. Cost of raw materials & cost of final product


b. Grades & the number of hours spent studying
c. Number of CFCs & UV index
d. Number of hurricanes in a year & weight of books in the library

9) Interpret the linear regression equation: y = 68 − 0.68x

a. As x increases, y increases
b. As x increases, y decreases
c. It is not a good linear model.
d. None of the above

10) What does the y-intercept in a linear regression equation mean?

a. The value of y when x is equal to 0


b. The confidence interval of the model
c. The expected change in y per change in x
d. It has no relevant meaning.

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