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2 Statistics

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Question 231

A teacher records weekly independent-study time h h\,h hours and test score s s\,s for 10 students.

hhh: 1, 2, 2, 3, 4, 4, 5, 6, 7, 8 sss: 48, 52, 55, 57, 62, 65, 68, 74, 78, 85

a.

Draw a scatter diagram and describe the association. The regression line is s=42.7+5.17hs=42.7+5.17hs=42.7+5.17h.

[3]
b.

Interpret the gradient. The correlation coefficient is 0.995, with an associated one-tailed p-value less than 0.001.

[1]
c.

Test for positive association at the 1% significance level, stating suitable hypotheses.

[4]
d.

A further point, (8,45)(8,45)(8,45), is added. State and justify its likely effect on the correlation coefficient.

[2]
Markscheme

2 Statistics Questions

  1. A Level
  2. /Maths
  3. /2 Statistics

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