IOP2601
Assignment 2 Semester 1 2026
Detailed Solutions, References & Explanations
Unique number:
Due Date: 30 March 2026
QUESTION 1
1. B
There is a strong positive linear association between hours studied and examination
scores.
2. C
People who spend more time on screens tend to sleep fewer hours.
3. C
A strong correlation between ice cream sales and drowning incidents over the summer.
4. D
Terms of use
By making use of this document you agree to:
Use this document as a guide for learning, comparison and reference purpose,
Not to duplicate, reproduce and/or misrepresent the contents of this document as your own work,
Fully accept the consequences should you plagiarise or misuse this document.
Disclaimer
Extreme care has been used to create this document, however the contents are provided “as is” without
any representations or warranties, express or implied. The author assumes no liability as a result of
reliance and use of the contents of this document. This document is to be used for comparison, research
and reference purposes ONLY. No part of this document may be reproduced, resold or transmitted in any
form or by any means.
, +27 67 171 1739
QUESTION 1
1. B
There is a strong positive linear association between hours studied and
examination scores.
2. C
People who spend more time on screens tend to sleep fewer hours.
3. C
A strong correlation between ice cream sales and drowning incidents over the
summer.
4. D
Correlation summarises the strength and direction of a linear relationship,
while regression produces an equation to predict one variable from another.
5. B
There is essentially no linear relationship between height and weight in this
group.
QUESTION 2
Total entries = 120
IOP entries = 18
HRM entries = 22
2.1 Probability that IOP wins first prize (2)
Probability = favourable outcomes ÷ total outcomes
= 18 ÷ 120
= 0.15
Answer: 0.15
2.2 Probability that HRM wins second prize given that IOP already won first
prize (2)
If IOP wins first prize, all 18 IOP entries are removed.
Disclaimer
Extreme care has been used to create this document, however the contents are provided “as is” without
any representations or warranties, express or implied. The author assumes no liability as a result of
reliance and use of the contents of this document. This document is to be used for comparison, research
and reference purposes ONLY. No part of this document may be reproduced, resold or transmitted in any
form or by any means.
Assignment 2 Semester 1 2026
Detailed Solutions, References & Explanations
Unique number:
Due Date: 30 March 2026
QUESTION 1
1. B
There is a strong positive linear association between hours studied and examination
scores.
2. C
People who spend more time on screens tend to sleep fewer hours.
3. C
A strong correlation between ice cream sales and drowning incidents over the summer.
4. D
Terms of use
By making use of this document you agree to:
Use this document as a guide for learning, comparison and reference purpose,
Not to duplicate, reproduce and/or misrepresent the contents of this document as your own work,
Fully accept the consequences should you plagiarise or misuse this document.
Disclaimer
Extreme care has been used to create this document, however the contents are provided “as is” without
any representations or warranties, express or implied. The author assumes no liability as a result of
reliance and use of the contents of this document. This document is to be used for comparison, research
and reference purposes ONLY. No part of this document may be reproduced, resold or transmitted in any
form or by any means.
, +27 67 171 1739
QUESTION 1
1. B
There is a strong positive linear association between hours studied and
examination scores.
2. C
People who spend more time on screens tend to sleep fewer hours.
3. C
A strong correlation between ice cream sales and drowning incidents over the
summer.
4. D
Correlation summarises the strength and direction of a linear relationship,
while regression produces an equation to predict one variable from another.
5. B
There is essentially no linear relationship between height and weight in this
group.
QUESTION 2
Total entries = 120
IOP entries = 18
HRM entries = 22
2.1 Probability that IOP wins first prize (2)
Probability = favourable outcomes ÷ total outcomes
= 18 ÷ 120
= 0.15
Answer: 0.15
2.2 Probability that HRM wins second prize given that IOP already won first
prize (2)
If IOP wins first prize, all 18 IOP entries are removed.
Disclaimer
Extreme care has been used to create this document, however the contents are provided “as is” without
any representations or warranties, express or implied. The author assumes no liability as a result of
reliance and use of the contents of this document. This document is to be used for comparison, research
and reference purposes ONLY. No part of this document may be reproduced, resold or transmitted in any
form or by any means.
