Unit 3 SF

A linear correlation coefficient between two variables 𝑎 and 𝑏 is 0.94.

Which of the following statements is true?

• There is a weak positive linear association between 𝑎 and 𝑏.

• 94% of the data points will be on the line of best fit.

• The line of best fit will have a positive gradient.

• An increase in 𝑎 will cause 𝑏 to increase.

In Earth geometry, great circles are defined as

• the lines of longitude and latitude.

• the equator and the lines of latitude.

• the equator and the lines of longitude.

• circles whose centre is the centre of the Earth.

Identify the town closest to the coordinates

28° S, 115° E on the map.

• Laverton

• Moora

• Mt. Magnet

• Mullewa

Identify the rule for the sequence 0.5, 2, 8, 32 …

Determine a valid explanatory variable when collecting data about people’s reaction time.

• the age of each participant

• the height of each participant

• the height of each participant

• the height of each participant

Calculate the five-day moving average, centred around Day 4, for the above dataset.

• 42

• 47

• 48

• 49

Identify the recurrence relation that matches the graph above.

The first term in an arithmetic sequence is 45 and the common difference is +7. The value of the eighth term for the sequence is

• 87

• 93

• 94

• 101

Identify the nature of the relationship between the two variables shown in the scatterplot above.

• Linear Negative

• Linear Positive

• non-Linear Negative

• non-Linear Positive

A study to find the relationship between two variables found the following summary data (see image).

Which of the following is the equation of the least-square regression equation?