Question

5. The following Scatter diagram shows the correlation between height and weight of a sample of 27 people: Scatter diagram to show the relationship between Height and Weight of 17 people Weight (kg) 100 90 80 70 60 50 40 30 20 10 0 150 155 160 165 170 175 180 185 190 Height (cm) a) Describe the correlation shown in the scatter diagram (2 marks) b) Explain how you know that the correlation shown is not perfect (2 marks) c) Which of the following Coefficient of Correlation values would be most likely for the data represented in the scatter diagram: i) 0.99 ii) 0.7 iii) -0.8 Explain your answer (2 marks) d) According to your selected Coefficient of Correlation, calculate what the coefficient of Determination is and explain what it shows about the relationship between height and weight (3 marks) e) Use the best fit line to estimate the weight of a person of height 190cm and explain whether this estimate is an accurate estimate or not (3 marks)

          5. The following Scatter diagram shows the correlation between height and weight of a sample of 27
people:
Scatter diagram to show the relationship
between Height and Weight of 17 people
Weight (kg)
100
90
80
70
60
50
40
30
20
10
0
150 155 160 165 170 175 180 185 190
Height (cm)
a) Describe the correlation shown in the scatter diagram (2 marks)
b) Explain how you know that the correlation shown is not perfect (2 marks)
c) Which of the following Coefficient of Correlation values would be most likely for the data
represented in the scatter diagram: i) 0.99 ii) 0.7 iii) -0.8 Explain your answer (2 marks)
d) According to your selected Coefficient of Correlation, calculate what the coefficient of
Determination is and explain what it shows about the relationship between height and
weight
(3 marks)
e) Use the best fit line to estimate the weight of a person of height 190cm and explain
whether this estimate is an accurate estimate or not (3 marks)

5. The following Scatter diagram shows the correlation between height and weight of a sample of 27
people:
Scatter diagram to show the relationship
between Height and Weight of 17 people
Weight (kg)
100
90
80
70
60
50
40
30
20
10
0
150 155 160 165 170 175 180 185 190
Height (cm)
a) Describe the correlation shown in the scatter diagram (2 marks)
b) Explain how you know that the correlation shown is not perfect (2 marks)
c) Which of the following Coefficient of Correlation values would be most likely for the data
represented in the scatter diagram: i) 0.99 ii) 0.7 iii) -0.8 Explain your answer (2 marks)
d) According to your selected Coefficient of Correlation, calculate what the coefficient of
Determination is and explain what it shows about the relationship between height and
weight
(3 marks)
e) Use the best fit line to estimate the weight of a person of height 190cm and explain
whether this estimate is an accurate estimate or not (3 marks)

Added by Christopher B.

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