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Year 11 Maths - General Investigating Relationships Between Two Numerical Variables

Statistical Investigation

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Question 1
11628
\begin{array}{|l|c|c|c|c|c|c|c|c|} \hline \text { Number of minutes }(\mathrm{x}) & 1 & 3 & 4 & 7 & 10 & 12 & 14 & 15 \\ \hline \text { Number of calls }(\mathrm{y}) & 11 & 9 & 10 & 6 & 8 & 4 & 3 & 1 \\ \hline \end{array} A study shows the more calls a person makes on their mobile phone, the less time they spend on each call.

a) The correlation coefficient \((r)\) is?
b) The correlation coefficient in part a) shows that?
c) The equation of the line of best fit is?
d) If 5 calls are made then the number of minutes for each call is?
e) If 5 minutes were used for each call then the number of calls would be?

a) \( - 0.93\) b) Strong, negative association c) \(y = - 0.63x + 11.70\) d) \(11\) e) \(9\)