Question

I REALLLY NEED HELP, PLZ PLZ WILL MARK BRAINEST ANS 10 POINTS
A coach is assessing the correlation between the number of hours spent practicing and the average number of points scored in a game. The table shows the data:


Number of hours spent practicing
(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 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)

Answer 1

Answer:

Part A:

Is there any correlation between the number of hours spent practicing and the score in the game? Justify your answer.

Yes, there appears to be a positive correlation between the number of hours spent practicing and the score in the game as seen in the scatter diagram. The pattern formed is a straight line that rises as one moves from 0 along the x axis.

Part B:

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

y = 5 + 6x

Score in the game = 5 + 6*(Number of hours spent practicing)

Part C:

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

slope = 6

When the number of hours spent practicing increases by by 1 hour, the score in a game is predicted to increase by an average of 6.

y-intercept = 5

Score in a game is predicted to be 5 when the Number of hours spent practicing is equal to 0.

Step-by-step explanation: