Unit 3 Two-Variable Statistics Test Review

Students were asked about what their favorite sport was at different ages. The relative frequency table shows the results.

Which of the following statement is true based on this information?

• The probability that a student likes football given that the student is between 8 to 10 years of age is 0.12.

• The probability that a student is 14 to 16 years old given that the student likes basketball is 0.08.

• The probability that a student likes baseball given that the student is between 11 to 13 years of age is 0.34

• The probability that a student is between 11 to 13 years of age given that the student likes baseball is 0.34.

Based on the graphs of the residuals, which model is the best fit for the data?

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Jen periodically kept track of the cost of a product to the sales in millions over an 8 month period. Which equation is the best model for sales, s, as a function of cost in dollars, d?

• s = -1.1d + 10.1

• s = -1.9d + 6

• s = -1.0d 

• s = -3.0d + 10.2

A go-cart racer found that his lap times followed the following equation.

T = 1.2 + 3.7L

What does the slope represent in this situation?

• The lap times increase by 3.7 seconds each lap.

• The lap times increase by 1.2 seconds each lap.

• The lap times decrease by 3.7 seconds each lap.

• The lap times decrease by 1.2 seconds each lap.

Mary was driving home from California. The following graph records her distance from home and time spent driving.

Which of the followings statements are true regarding slope and y-intercept. Select all that apply. (hint, there are 3)

• The slope of the line is -65.

• The slope of the line is -50.

• The y-intercept is 300.

• The y-intercept is how far she is from home when she starts driving.

• The slope represents how many miles she still has to travel

Review the two-way frequency table below. 

Among those that like snowboards, what is the probability that the respondent also does not like skateboards?

• 27%

• 56%

• 44%

• 18%

The correlation coefficients are provided for the data collected by 4 different students. Rank them in order of strongest linear correlation to weakest linear correlation. 

• 0.50, -0.87, -0.25, 0.79

• -0.87, 0.79, 0.50, -0.25

• 0.79, -0.87, -0.25, 0.50

• 0.50, -0.25, -0.87, 0.79

The table shows grade levels and heights of 6 students.

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Choose the correct item in each drop-down menu to complete the sentences.

The data shows________correlation. The data __________ be used to show causation.

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• a positive, cannot

• a negative, can

• a positive, can

• a negative, cannot

Which r-value suggests a weak positive correlation? 

• r = 0.17454

• r = −0.17454

• r = 0.98264

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    r = −0.98264