IB Maths AA HL AA 4.2 Correlation and regression questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

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Question 1

Paper 1, no calculatorMedium6 marks

A grower records the irrigation time, $y$ hours, and the harvested mass, $x$ kg, for five greenhouse beds.

$y$	1	2	3	4	5
$x$	2	3	3	5	6

(a)

Determine, giving your working, the equation of the regression line of $x$ on $y$ in the form $x=a+by$

[3]

(b)

Hence estimate the harvested mass when the irrigation time is 4 hours.

[1]

(c)

The grower wants to estimate the irrigation time from a harvested mass of $4.8$ kg. A trainee rearranges the equation from part (a) and obtains an estimate of 4 hours. Explain whether this is a justified use of a regression line.

[2]

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