QUESTION IMAGE
Question
using the same data, it was found that the regression line or line of best fit is given by the equation y = - 0.41x + 120.9
major league baseball team sample
for 2018 regular season
| total errors | wins |
|---|---|
| 76 | 58 |
| 82 | 91 |
| 82 | 90 |
| 88 | 97 |
| 93 | 100 |
| 100 | 73 |
| 120 | 67 |
use the equation to predict the average wins for a team with total errors of 110.
75.8
26.6
166
70.0
Step1: Identify the regression - line equation
The regression - line equation is $y=-0.41x + 120.9$, where $x$ is the total errors and $y$ is the number of wins.
Step2: Substitute the value of $x$
We are given $x = 110$. Substitute $x = 110$ into the equation: $y=-0.41\times110 + 120.9$.
Step3: Calculate the value of $y$
First, calculate $-0.41\times110=-45.1$. Then, $y=-45.1 + 120.9$. So, $y = 75.8$.
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75.8