Masterclass Multiple Choice 3 (QCE 2022)

Which of the following situations is an example of bivariate data?

• A sample of house prices in one suburb is surveyed to find the median house price.

• The blood pressure and body weight of multiple people are recorded to investigate whether an association exists.

• The types of cars that pass through a toll gate are recorded to find the most popular car type.

• The results of a Year 10 Science test from eight classes are collected to find the average percentage score.

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Unit 3 - Topic 1

The table shows the resting heart rate in beats per minute (x) and cholesterol levels in milligrams (y) of eight people.

Calculate the value of Pearson’s correlation coefficient, r.

• 0.021

• 0.965

• 0.966

• 1.047

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Unit 3 - Topic 1

The graph shows a scatterplot of variable x and variable y.

Identify the best descriptions in terms of strength, direction and form:

• Strong, negative, non-linear

• Strong, positive, non-linear

• Weak, negative, linear

• Weak, positive, linear

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Unit 3 - Topic 1

Determine the set of bivariate data variables that are best described as a coincidence.

• the results of a math test and the time spent studying for the test

• the age and height of a plant

• the age and value of a car

• the height and IQ of an individual

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Unit 3 - Topic 1

The table shows the seasonal indices for the daily sales at a clothing company.

Determine the seasonal index for Friday

• 0.87

• 0.89

• 1.00

• 6.11

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Unit 3 - Topic 2

The table above shows the amount of sales made by a company over seven days.

Determine the four point moving average for day 5.

• 2800

• 3562.5

• 3720

• 4650

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Unit 3 - Topic 2

A sequence is defined by the terms 5, 0, -20, -100, -420, -1700.

Determine the recurrence relation that represents the sequence.

• t₁ = 5, t_n+1 = 3t_n + 4

• t₁ = 5, t_{n + 1} = 2t_n – 40

• t₁ = 5, t_{n + 1} = 0.5t_n + 100

• t₁ = 5, t_{n + 1}= 4t_n - 20

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Unit 3 - Topic 3

The International Date Line is most similar to

• a great circle.

• the prime meridian.

• a parallel of latitude.

• the equator.

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Unit 3 - Topic 4

Calculate the distance between Quebec, Canada (51°15′ N, 70°43' W) and Santiago, Chile (33°27′ S, 70°43′ W).

• 3110.41 km

• 7863.69 km

• 9418°38′24"

• 9418.64 km

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Unit 3 - Topic 4

Daylight saving time begins at 2:00 am on the first Sunday of October and ends on the first Sunday of April in the Australian Capital Territory, New South Wales, South Australia, Tasmania and Victoria.

Thomas lives in Tasmania and wishes to call Miriam at 11:59 pm (Tasmanian time) on the 31st of December 2021. Miriam lives in Queensland. Considering they are on the same line of longitude, determine the time in Queensland when Thomas calls Miriam.

• 10:59 pm, 31st December 2021

• 11:59 pm, 31st December 2021

• 12:59 am, 1st January 2022

• 1:59 am, 1st January 2022

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Unit 3 - Topic 4