Effect of coding on correlation

A question is this type if and only if it asks whether the correlation coefficient would change under linear transformations or coding of variables.

1 questions · Standard +0.3

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OCR Further Statistics AS Specimen Q8
10 marks Standard +0.3
The following table gives the mean per capita consumption of mozzarella cheese per annum, \(x\) pounds, and the number of civil engineering doctorates awarded, \(y\), in the United States in each of 10 years.
\(x\)9.39.79.79.79.910.210.511.010.610.6
\(y\)480501540552547622655701712708
source: www.tylervigen.com
  1. Find the equation of the regression line of \(y\) on \(x\). [2]
You are given that the product moment correlation coefficient is 0.959.
  1. Explain whether this value would be different if \(x\) is measured in kilograms instead of pounds. [1]
It is desired to carry out a hypothesis test to investigate whether there is correlation between these two variables.
  1. Assume that the data is a random sample of all years.
    1. Carry out the test at the 10\% significance level. [6]
    2. Explain whether your conclusion suggests that manufacturers of mozzarella cheese could increase consumption by sponsoring doctoral candidates in civil engineering. [1]