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A shop owner records the amount spent on advertising (\(X\), in hundreds of dollars) and the resulting sales revenue (\(Y\), in thousands of dollars) for 6 consecutive months.
\(X\) 1 2 3 4 5 6
\(Y\) 10 18 25 40 55 62
  1. Plot these points on a scatter diagram.
  2. Calculate Pearson's correlation coefficient, \(r\), with a calculator.
  3. Describe the correlation between variable \(X\) and variable \(Y\) in terms of direction and strength.

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