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This question is a hybrid question. Please clearly label a blank piece of paper with this question number and write your response to this question.
(In the examination you may be required to take a photo of your response at the end of the examination to upload).
___________________________________________________________________This question is worth 4 + 3 + 6 = 13 marks
[Note : This is an examination style REVISION question. In an actual examination question, there would not be as many parts]
The librarian is conducting an audit.
The table below summarises the number of pages of 200 books.
Number of pages
|
100 - 199
|
200 - 299
|
300 - 399
|
400 - 499
|
500 - 599
|
600 - 699
|
700 - 799
|
Frequency
|
12
|
36
|
42
|
53
|
33
|
20
|
4
|
To encourage the love of reading among the students, the librarian organised a reading competition. The data is summarised below. The mean of the data in the table is 8.6875 and the range is 15.
Number of pages read | Number of students |
3 | 6 |
8 | |
10 | 2 |
2 |
Mean number of pages read :
|
14.29
|
Mean time spent in the library :
|
0.90
|
Standard deviation of the number of pages read :
|
3.78
|
Standard deviation of the time spent in the library
|
0.21
|
Correlation Coefficient :
|
0.45
|
c. i. Which variable is the dependent variable?
ii. Calculate the value of for the regression line. Interpret this value in terms of the variables.
iii. Calculate the value of for the regression line. Interpret this value in terms of the variables.
iv. Use your line to predict the number of pages read by a student who spends 45 mins in the library. [Give your answer to the nearest page]