QUESTION IMAGE
Question
average futsalog tlnr
womens team, in ml
complete the table by filling in the missing residual values.
| x - value | actual y - value | predicted y - value | residual value |
|---|---|---|---|
| 1 | 21 | 20.772 | |
| 3 | 20.9 | 20.131 |
Step1: Recall residual formula
The residual value is calculated as the actual \(y -\)value minus the predicted \(y -\)value, i.e., \(e=y - \hat{y}\).
Step2: Calculate residual for \(x = 0\)
For \(x = 0\), \(y=21.4\) and \(\hat{y}=21.092\). So, \(e_1=21.4 - 21.092=0.308\).
Step3: Calculate residual for \(x = 1\)
For \(x = 1\), \(y = 21\) and \(\hat{y}=20.772\). So, \(e_2=21 - 20.772 = 0.228\).
Step4: Calculate residual for \(x = 3\)
For \(x = 3\), \(y=20.9\) and \(\hat{y}=20.131\). So, \(e_3=20.9 - 20.131=0.769\).
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| \(x - \)value | Actual \(y - \)value | Predicted \(y - \)value | Residual Value |
|---|---|---|---|
| 1 | 21 | 20.772 | 0.228 |
| 3 | 20.9 | 20.131 | 0.769 |