Question: A university library provides group study rooms that students can reserve. The library management wants to determine if the availability of these study rooms influences
A university library provides group study rooms that students can reserve. The library management wants to determine if the availability of these study rooms influences the number of students using the library's printing services. As part of this analysis, you decide to calculate the correlation between the number of study rooms booked and the number of printing service users on the same day. Below is the data collected over one week: Day Number of Study Rooms Booked (X) Number of Printing Service Users (Y) Monday 12 50 Tuesday 15 55 Wednesday 10 45 Thursday 18 60 Friday 14 52 Saturday 40 100 Sunday 38 95 Questions: a) Make a scatterplot for these data. [2 marks] b) Describe the direction, form, and strength of the plot. [3 marks] c) What is the correlation coefficient over the whole week between the number of study rooms booked and the number of printing service users? [2 marks] d) What is the correlation coefficient over the weekdays only (Monday to Friday)? [2 marks] e) What is the correlation coefficient over the weekend (Saturday and Sunday)? [2 marks] f) Discuss the realism and usefulness of the above correlation coefficients for analyzing whether the number of printing
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