Part A: Is there any correlation between the number of hours spent practicing and the score in the game? Justify your answer. (4 points) Part B: Write a function that best fits the data. (3 points) Part C: What does the slope and y-intercept of the plot indicate? (3 points)

A coach is assessing the correlation between the number of hours spent practising and the average number of points scored in a game. The table shows the data:

Number of hours spent practising

(x) 0 0.5 1 1.5 2 2.5 3 3.5 4

Score in the game

(y) 5 8 11 14 17 20 23 26 29

Part A: Is there any correlation between the number of hours spent practising and the score in the game? Justify your answer. (4 points)

Part B: Write a function that best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate? (3 points)

What is a Function ?

A function is a law that connects the y and x variable , i.e. the dependent and independent variable.

Part (A)

There is a positive correlation between the number of hours spent practising and the score in the game , as the time is increasing the scores is also seen to be increasing.

Part (B)

From the online scatter point equation calculator or by using three points which best fits the linear regression the equation can be determined

y = 6x + 5

x represents the timeline spent in practising

Part C:

slope = 6

When the time spent practising increases by 1 hour, the average scores increases by 1 hour, the score in a game is predicted to increase by an average of 6 and

as intercept = 5

When no time is spent on the practice the score obtained is 5.

To know more about Function

https://brainly.com/question/12431044

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