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ETC1000 - Business and economic statistics - S1 2025

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Next predict the child’s height in centimetres with the same values for mumheight and hhincome, but with rainfall equal to two standard deviations above the sample average.

What is the predicted height? (Report to 1 decimal place and include appropriate units)  

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What is the predicted height of a child in centimetres for the following values of the explanatory variables:

mumheight = average value for the sample

hhincome = average value for the sample

rainfall = average value for the sample

(Report to 1 decimal place and include appropriate units)

TIP: Use an Excel formula to calculate this so you don't risk getting any rounding error!

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What is the sample standard deviation for the rainfall variable? (Report to 2 decimal places and include appropriate units)

HINT: Calculate this in a separate cell using the =STDEV.S() formula as you will need to use it in a later question.

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Which statement below best describes the interpretation of the coefficient on mother’s height?

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What is the average amount of rainfall experienced by the sample? (Report to 2 decimal places and include appropriate units)

HINT: Calculate this in a separate cell using the =AVERAGE() formula as you will need to use it in a later question.

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What is the average height of mothers, measured in centimetres, in this sample? (Report to 1 decimal place and include appropriate units) 

HINT: Calculate this in a separate cell using the =AVERAGE() formula as you will need to use it in a later question.

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A sample of voters has been asked to rank two political leaders as to their appeal on a continuous scale of 0 to 10 (0=very unappealing, 10=very appealing). The probability density function of the results is shown below. Select the best interpretation of these results.

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In the picture below there are two distributions for separate countries. The distributions represent the height of girls at age 18 measured in metres. Select the answer which best interprets these results. 

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