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ETF1100 - Business statistics - S2 2025

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Estimate

a simple linear regression model of 

Happiness on Age. That is, estimate the model

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If I age by 10

years, how much does the model predict that my happiness will rise? (Report to

3 decimal places)

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Estimate

a simple linear regression model of 

Happiness on Income. That is, estimate the model

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If my income

rises by $5000 how much does the model predict that my happiness will rise?

(Report to 3 decimal places)

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What

is the correlation between 

Income and Age? (Report to 3 decimal places)

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What is the correlation

between 

Happiness and Income? (Report to 3 decimal places)

View this question

We can accurately use the regression line of price and area to predict the price of a house with area 2500. 

0%
100%
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Predict the price of a house with area 836. 

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Find the slope of the regression line for price (Y) on area (X).

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Find the correlation coefficient between Price and Area for all houses.
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For undergrads at a certain university, the correlation between their ATAR and first year WAM is 0.60. 

The scatterplot is foot-ball shaped.

Predict the percentile rank on the first year WAM for a student whose percentile rank on their ATAR was 50%. 

0%
0%
0%
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In a certain class, the midterm score has an average of 60 and standard deviation of 15. The final exam score also has an average of 60 and standard deviation of 15. The correlation coefficient between midterm and final scores is 0.50. 

The scatterplot is football-shaped.

Predict the final score for a student whose midterm score is 75. 

0%
0%
0%
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