Loading [MathJax]/jax/element/mml/optable/GeneralPunctuation.js

User interface language: English | Español

Date May 2017 Marks available 2 Reference code 17M.1.SL.TZ1.S_4
Level Standard Level Paper Paper 1 Time zone Time zone 1
Command term Predict Question number S_4 Adapted from N/A

Question

Jim heated a liquid until it boiled. He measured the temperature of the liquid as it cooled. The following table shows its temperature, d degrees Celsius, t minutes after it boiled.

M17/5/MATME/SP1/ENG/TZ1/04

Jim believes that the relationship between d and t can be modelled by a linear regression equation.

Write down the independent variable.

[1]
a.i.

Write down the boiling temperature of the liquid.

[1]
a.ii.

Jim describes the correlation as very strong. Circle the value below which best represents the correlation coefficient.

0.9920.25100.2510.992

[2]
b.

Jim’s model is d=2.24t+105, for 0t20. Use his model to predict the decrease in temperature for any 2 minute interval.

[2]
c.

Markscheme

t     A1     N1

[1 mark]

a.i.

105     A1     N1

[1 mark]

a.ii.

0.992     A2     N2

[2 marks]

b.

valid approach     (M1)

egdddt=2.24; 2×2.24, 2×2.24, d(2)=2×2.24×105,

finding d(t2)d(t1) where t2=t1+2

4.48 (degrees)     A1     N2

 

Notes:     Award no marks for answers that directly use the table to find the decrease in temperature for 2 minutes eg 10598.42=3.3.

 

[2 marks]

c.

Examiners report

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

Syllabus sections

Topic 4—Statistics and probability » SL 4.4—Pearsons, scatter diagrams, eqn of y on x
Show 146 related questions
Topic 4—Statistics and probability

View options