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Regression, Correlation and Hypothesis Testing

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Question 40

A meteorologist recorded the average daily rainfall (RRR) and the number of umbrellas sold (UUU) at a local shop for 12 selected days.

Rainfall (R R\,R mm)2.54.05.58.010.512.015.018.020.022.025.028.0
Umbrellas sold (UUU)375121018152219282430
a.

Draw a scatter graph for this information.

[2]
b.

Give an interpretation of the correlation between rainfall and umbrellas sold.

[1]
c.

The equation of the regression line is U=1.05R+1.22U = 1.05R + 1.22U=1.05R+1.22.

Give an interpretation of the gradient of this regression line.

[1]
d.

The product moment correlation coefficient is calculated to be 0.55.

Stating your hypotheses clearly, test at the 5% significance level whether there is a positive correlation between rainfall and umbrella sales.

[4]
e.

Determine whether you would reach the same conclusion at the 1% significance level.

[2]

Regression, Correlation and Hypothesis Testing Questions

  1. A Level
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