In the analysis the explained sum of squares (SSE) is equal to .346 O 323.70 551.39 O 875.09

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Use the Stata output below to answer the following question. The data used in this analysis is from a sample of airlines. The variables used are:

- **fare**: average price of a one-way fare, in dollars
- **dist**: distance of the flight, in miles

```
. reg lfare ldist

Source          |        SS           df       MS               Number of obs =    4,596
----------------+----------------------------------   F(1, 4594)       =   2696.98
Model           |   323.702686     1    323.702686    Prob > F          =    0.0000
Residual        |   551.391705    4,594  .120024135   R-squared         =    0.3699
----------------+----------------------------------   Adj R-squared     =    0.3698
Total           |   875.094374    4,595  .190444913   Root MSE          =    .34645

------------------------------------------------------------------------------
             | Coef.  Std. Err.           t       P>|t|    [95% Conf. Interval]
------------------------------------------------------------------------------
ldist        | .4025646   .0077577   51.93   0.000    .3873676     .4177617
_cons        | 2.399834   .0521601   46.01   0.000    2.297575     2.502093
------------------------------------------------------------------------------
```

In the analysis, the explained sum of squares (SSE) is equal to __________.

- 0.346
- 323.70
- 551.39
- 875.09

**Explanation:**

The table displays results from a regression analysis where the model attempts to predict the average price of a one-way fare (`lfare`) based on the distance of the flight (`ldist`). The key sections show:

1. **SS (Sum of Squares):**
   - **Model SS** (SSE): 323.702686, representing the explained sum of squares, which indicates the variation in the dependent variable explained by the model.
   - **Residual SS**: 551.391705, representing the unexplained variation (error) in the model.
   - **Total SS**: 875.094374, the total variation in the dependent variable
Transcribed Image Text:Use the Stata output below to answer the following question. The data used in this analysis is from a sample of airlines. The variables used are: - **fare**: average price of a one-way fare, in dollars - **dist**: distance of the flight, in miles ``` . reg lfare ldist Source | SS df MS Number of obs = 4,596 ----------------+---------------------------------- F(1, 4594) = 2696.98 Model | 323.702686 1 323.702686 Prob > F = 0.0000 Residual | 551.391705 4,594 .120024135 R-squared = 0.3699 ----------------+---------------------------------- Adj R-squared = 0.3698 Total | 875.094374 4,595 .190444913 Root MSE = .34645 ------------------------------------------------------------------------------ | Coef. Std. Err. t P>|t| [95% Conf. Interval] ------------------------------------------------------------------------------ ldist | .4025646 .0077577 51.93 0.000 .3873676 .4177617 _cons | 2.399834 .0521601 46.01 0.000 2.297575 2.502093 ------------------------------------------------------------------------------ ``` In the analysis, the explained sum of squares (SSE) is equal to __________. - 0.346 - 323.70 - 551.39 - 875.09 **Explanation:** The table displays results from a regression analysis where the model attempts to predict the average price of a one-way fare (`lfare`) based on the distance of the flight (`ldist`). The key sections show: 1. **SS (Sum of Squares):** - **Model SS** (SSE): 323.702686, representing the explained sum of squares, which indicates the variation in the dependent variable explained by the model. - **Residual SS**: 551.391705, representing the unexplained variation (error) in the model. - **Total SS**: 875.094374, the total variation in the dependent variable
Expert Solution
Step 1

Given that 

SStotal = 875.094374

dfModel = 1 , dfE = 4594

steps

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