Photo AI
A familiar question among professional tennis players is whether the speed of a tennis serve (in km/h) depends on the height of a player (in metres) - NSC Mathematics - Question 2 - 2018 - Paper 2
Question 2
A familiar question among professional tennis players is whether the speed of a tennis serve (in km/h) depends on the height of a player (in metres). The heights of ... show full transcript
Worked Solution & Example Answer:A familiar question among professional tennis players is whether the speed of a tennis serve (in km/h) depends on the height of a player (in metres) - NSC Mathematics - Question 2 - 2018 - Paper 2
Step 1
Step 2
Step 3
Use the scatter plot and least squares regression line to motivate your answer to QUESTION 2.2.1.
Answer
The scatter plot shows points that are fairly scattered, with an increasing trend as we move upward. The least squares regression line indicates a moderate positive relationship, supporting the choice of r = 0,52, which suggests a weak correlation.
Step 4
What does the data suggest about the speed of a tennis serve (in km/h) and the height of a player (in metres)?
Answer
The data suggests that there is a weak positive relationship between the speed of a tennis serve and the height of a player, implying that taller players may have slightly faster serves. However, this correlation is not strong enough to definitively conclude that height directly influences serve speed.
Step 5
Explain why, in this context, the least squares regression line CANNOT intersect the y-axis at (0; 27,07).
Answer
In this context, a serve speed would not be meaningful at a height of 0 m. Thus, it is impossible for a player to have a height of 0 m. This implies that the regression line cannot intersect the y-axis at (0; 27,07), as this would suggest an unrealistic scenario where the player does not exist.