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Bivariate Data, SM-Bank 012

A teacher analysed the class marks of 15 students who sat two tests.

The test 1 mark and test 2 mark, all whole number values, are shown in the scatterplot below.

A line of best fit has been fitted to the scatterplot.
 

  1. If a student scored 34 in the first test, what is their expected mark in the second test.   (1 mark)
  2. The line of best fit shows the predicted test 2 mark for each student based on their test 1 mark.
  3. Determine the number of students whose actual test 2 mark was within two marks of that predicted.   (1 mark)

Show Answers Only

i.    \(46\)

ii.   \(\text{5 values are within 1 grid height (measured vertically), or 2 marks,}\)

\(\text{from the LOBF.}\)

Show Worked Solution

i.    \(\text{1st test mark = 34}\ \ \Rightarrow\ \ \text{2nd test mark = 46} \)
 

ii.   \(\text{5 values are within 1 grid height (measured vertically), or 2 marks,}\)

\(\text{from the LOBF.}\)