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Question

The data shows the number of hours different players practice basketball each week and the number of baskets each player scored during a game.

Alan - 5 hours Practiced - 6 baskets

Brenda - 10 hours Practiced - 11 baskets

Caleb - 7 hours Practiced - 8 baskets

Shawna - 2 hours Practiced - 4 baskets

Fernando - 0 hours Practiced - 2 baskets

Gabriela - 21 hours Practiced - 19 baskets

a. Find an equation for a line of best fit Round decimals to the nearest tenth.

b. Interpret the meaning of the slope and y-intercept

c. Find the correlation coefficient

Solution

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Step 1
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(a)\textbf{(a)} The equation of a line of the best linear fit model is

y=0.8x+2.3y=0.8x+2.3

(b)\textbf{(b)} The slope line represents that for each hour of practice, a player will score 0.810.81 baskets and y-intercept represents a player who practices 00 hour will score 2.32.3 baskets

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