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Date May 2018 Marks available 2 Reference code 18M.1.sl.TZ2.1
Level SL only Paper 1 Time zone TZ2
Command term Estimate Question number 1 Adapted from N/A

Question

The following scatter diagram shows the scores obtained by seven students in their mathematics test, m, and their physics test, p.

The mean point, M, for these data is (40, 16).

Plot and label the point M\(\left( {\bar m,\,\,\bar p} \right)\) on the scatter diagram.

[2]
a.

Draw the line of best fit, by eye, on the scatter diagram.

[2]
b.

Using your line of best fit, estimate the physics test score for a student with a score of 20 in their mathematics test.

[2]
c.

Markscheme

(A1)(A1) (C2)

Note: Award (A1) for mean point plotted and (A1) for labelled M.

[2 marks]

a.

straight line through their mean point crossing the p-axis at 5±2     (A1)(ft)(A1)(ft) (C2)

Note: Award (A1)(ft) for a straight line through their mean point. Award (A1)(ft) for a correct p-intercept if line is extended.

[2 marks]

b.

point on line where m = 20 identified and an attempt to identify y-coordinate     (M1)

10.5     (A1)(ft)    (C2)

Note: Follow through from their line in part (b).

[2 marks]

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 4 - Statistical applications » 4.2 » Bivariate data: the concept of correlation.

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