For an activity in class, a team of students was given the line of best fit, y=−0.9x+18
=
−
0.9
+
18
. If one of the actual data points is (1,16.88)
(
1
,
16.88
)
, what is the residual of the data point? Round the answer to the nearest hundredths.
To find the residual, we first need to find the predicted y-value using the given line of best fit:
y = -0.9x + 18
y = -0.9(1) + 18
y = -0.9 + 18
y = 17.1
Now we can find the residual by subtracting the actual y-value from the predicted y-value:
Residual = actual y-value - predicted y-value
Residual = 16.88 - 17.1
Residual = -0.22
Therefore, the residual of the data point (1, 16.88) is -0.22.