Mathematics, 01.08.2019 21:30 khuak877

Acoach is assessing the correlation between the number of hours spent practicing and the average number of points scored in a game. the table below 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 which best fits the data. (3 points) part c: what does the slope and y-intercept of the plot indicate? (3 points)

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Part a.we can actually see that for every 0.5 increase in the value of x, there is a corresponding and constant increase of 3 in the value of y. so the answer to this is: yes and the correlation is linear. part b.the general form of a linear function is: y = m x + bwhere m is the slope and b is the y –intercept calculating for m using the formula: m = (y2 – y1) / (x2 – x1)m = (8 – 5) / (0.5 – 0)m = 3 / 0.5m = 6 the y-intercept b is the value of y when x = 0, therefore: b = 5 the complete equation of the function is: y = 6 x + 5 part c.the slope represents the rate of change, this means that there is an increase of 6 in the value of y for every increase of 1 in the value of x.

Answer from: amandavelez12122005

A. when the score is plotted on a graph against hours spent practicing, the points all fall on a straight line. this means there is perfect correlation between hours and score. (the correlation coefficient is r=1.)b. the regression function of the calculator shows the function to be.. score = 6*hours +5or.. y = 6x +5c. the slope is the score added for each additional hour of practice (6 points). the y-intercept is the score with no hours of practice.

Answer from: Quest

step-by-step explanation:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since 2010 0 1 2 3 4 5

profits made in 1000's 39 84 111 120 111 84

we find that profit gradually increases form 2010 to 2013 upto 120, then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is: