Rose Harrison and Clara Huizink Solutions for Exercise 5: Practice 2

Author:Rose Harrison & Clara Huizink

Rose Harrison Mathematics Solutions for Exercise - Rose Harrison and Clara Huizink Solutions for Exercise 5: Practice 2

Attempt the practice questions from Exercise 5: Practice 2 with hints and solutions to strengthen your understanding. MYP Mathematics A concept based approach 4&5 Standard solutions are prepared by Experienced Embibe Experts.

Questions from Rose Harrison and Clara Huizink Solutions for Exercise 5: Practice 2 with Hints & Solutions

HARD
MYP:4-5
IMPORTANT
MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 1

The table shows data on 10 students:

  • Reaction distance, in a test to measure visual responses
  • Height, in meters
  • Weight, in kilograms
  • Time, in seconds, taken to fasten their shoelaces.

 

A

B

C

D

E

F

G

H

I

J

Reaction distance (cm)

5.3

4.6

7.7

3.7

4.6

3.6

4.2

4.8

5.3

4.6

Height (m)

1.64

1.50

1.67

1.75

1.45

1.35

1.87

1.67

1.56

1.70

Weight (kg)

60

60

64

76

48

45

75

75

52

60

Fastening time (s)

9.1

10.5

13.4

9.6

10.5

9.2

8.8

8.5

10.4

6.3

 Draw a line of best fit on each scatter diagram. 

HARD
MYP:4-5
IMPORTANT
MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 1

The table shows data on 10 students:

  • Reaction distance, in a test to measure visual responses
  • Height, in meters
  • Weight, in kilograms
  • Time, in seconds, taken to fasten their shoelaces.
  A B C D E F G H I J
Reaction distance (cm) 5.3 4.6 7.7 3.7 4.6 3.6 4.2 4.8 5.3 4.6
Height (m) 1.64 1.50 1.67 1.75 1.45 1.35 1.87 1.67 1.56 1.70
Weight (kg) 60 60 64 76 48 45 75 75 52 60
Fastening time (s) 9.1 10.5 13.4 9.6 10.5 9.2 8.8 8.5 10.4 6.3

Comment on the form, direction and strength of the correlation in each scatter diagram.

HARD
MYP:4-5
IMPORTANT
MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 1

The table shows data on 10 students:

  • Reaction distance, in a test to measure visual responses
  • Height, in meters
  • Weight, in kilograms
  • Time, in seconds, taken to fasten their shoelaces.
  A B C D E F G H I J
Reaction distance (cm) 5.3 4.6 7.7 3.7 4.6 3.6 4.2 4.8 5.3 4.6
Height (m) 1.64 1.50 1.67 1.75 1.45 1.35 1.87 1.67 1.56 1.70
Weight (kg) 60 60 64 76 48 45 75 75 52 60
Fastening time (s) 9.1 10.5 13.4 9.6 10.5 9.2 8.8 8.5 10.4 6.3

Use the line of best fit to estimate the weight of a person who is 1.68 m tall.

HARD
MYP:4-5
IMPORTANT
MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 1

The table shows data on 10 students:

  • Reaction distance, in a test to measure visual responses
  • Height, in meters
  • Weight, in kilograms
  • Time, in seconds, taken to fasten their shoelaces.
  A B C D E F G H I J
Reaction distance (cm) 5.3 4.6 7.7 3.7 4.6 3.6 4.2 4.8 5.3 4.6
Height (m) 1.64 1.50 1.67 1.75 1.45 1.35 1.87 1.67 1.56 1.70
Weight (kg) 60 60 64 76 48 45 75 75 52 60
Fastening time (s) 9.1 10.5 13.4 9.6 10.5 9.2 8.8 8.5 10.4 6.3

Use the line of best fit to estimate the reaction distance of a student who took 12 seconds to fasten their shoelaces.

HARD
MYP:4-5
IMPORTANT
MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 1

The table shows data on 10 students:

  • Reaction distance, in a test to measure visual responses
  • Height, in meters
  • Weight, in kilograms
  • Time, in seconds, taken to fasten their shoelaces.
  A B C D E F G H I J
Reaction distance (cm) 5.3 4.6 7.7 3.7 4.6 3.6 4.2 4.8 5.3 4.6
Height (m) 1.64 1.50 1.67 1.75 1.45 1.35 1.87 1.67 1.56 1.70
Weight (kg) 60 60 64 76 48 45 75 75 52 60
Fastening time (s) 9.1 10.5 13.4 9.6 10.5 9.2 8.8 8.5 10.4 6.3

Explain which of your graphs would give the most accurate predictions.

HARD
MYP:4-5
IMPORTANT
MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 2

The table shows information on road deaths and vehicle ownership in ten countries.

Country Vehicles per 100 population Road deaths per 100000 population
UK  31 14
Belgium 32 29
Denmark 30 22
France 47 32
Germany 30  25
Ireland 19 20
Italy 36 21
Netherlands 40 22
Canada  47 30
USA 58 35

Draw a scatter diagram with vehicles per 100 population on the x-axis and road deaths per 1 00 000 population on the y-axis. Does the graph show any correlation?

HARD
MYP:4-5
IMPORTANT
MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 2

The table shows information on road deaths and vehicle ownership in ten countries.

Country Vehicles per 100 population Road deaths per 100000 population
UK  31 14
Belgium 32 29
Denmark 30 22
France 47 32
Germany 30  25
Ireland 19 20
Italy 36 21
Netherlands 40 22
Canada  47 30
USA 58 35

Draw a line of best fit to represent the pattern in the data.

HARD
MYP:4-5
IMPORTANT
MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 2

The table shows information on road deaths and vehicle ownership in ten countries.

Country Vehicles per 100 population Road deaths per 100000 population
UK  31 14
Belgium 32 29
Denmark 30 22
France 47 32
Germany 30  25
Ireland 19 20
Italy 36 21
Netherlands 40 22
Canada  47 30
USA 58 35

The road death data for Switzerland is missing Switzerland has 25 vehicles per 100 population. Use your line of best fit to estimate the number of road deaths per 1 00 000 population in Switzerland.