Question

The table shows the number of free throws a player makes in a basketball game and the number of points the player scores in the game. Number of Free Throws vs. Number of Points Scored Number of Free Throws Made (f) Number of Points Scored (s) 5 15 3 11 8 20 7 18 9 21 Alex used a regression calculator to find the equation of the trend line y = a x + b for the data in the table. He rounded the values for a and b on his calculator as shown below. A = 1. 7. B = 6. 2 Which trend line compares the data in the table? s = 1. 7 f + 6. 2 s = 6. 2 f + 1. 7 f = 1. 7 s + 6. 2 f = 6. 2 s + 1. 7

Answer 1

Explanation:

To determine which trend line compares the data in the table, we need to match the values of 'a' and 'b' from the rounded equation provided by Alex with the correct equation format.

The equation given by Alex is y = a x + b, where 'y' represents the number of points scored (s) and 'x' represents the number of free throws made (f). The rounded values provided are:

a = 1.7

b = 6.2

Comparing these values with the given equation options:

s = 1.7 f + 6.2

s = 6.2 f + 1.7

f = 1.7 s + 6.2

f = 6.2 s + 1.7

From the given values, we can see that 'a' represents the coefficient of 'f' (number of free throws), and 'b' represents the y-intercept or the value of 's' (number of points scored) when 'f' is zero.

Therefore, the correct equation that matches the given values is:

s = 1.7 f + 6.2

Hence, the trend line that compares the data in the table is s = 1.7 f + 6.2.