The table below shows the results of three days of business, with breakdowns for how many customers ordered pasta, salad, and enchiladas.

\begin{tabular}{|c|c|c|c|}
\hline
Day & Pasta & Salad & Enchiladas \\
\hline
1 & 130 & 37 & 38 \\
\hline
2 & 175 & 17 & 14 \\
\hline
3 & 105 & 31 & 33 \\
\hline
\end{tabular}

Classify the results for each category as either consistent or inconsistent with the model.

\begin{tabular}{|c|c|}
\hline
\begin{tabular}{c}
Consistent with \\
Model
\end{tabular} & \begin{tabular}{c}
Inconsistent with \\
Model
\end{tabular} \\
\hline
& \\
& \\
& \\
& \\
& \\
\hline
\end{tabular}

- Day 2 results
- Day 3 results
- Total of all 3 days results
- Day 1 results



Answer :

Let's classify the results into consistent or inconsistent based on the given model. The model expectations for each category (assumed as per our context for this problem) are:
- Model Pasta orders per day: 130
- Model Salad orders per day: 30
- Model Enchiladas orders per day: 30

We are also determining consistency using a threshold of ±20.

Here's the step-by-step classification:

### Day 1 Results:
- Pasta: 130 (consistent, as it matches the model exactly)
- Salad: 37 (consistent, as 30 ± 20 includes 37)
- Enchiladas: 38 (consistent, as 30 ± 20 includes 38)

### Day 2 Results:
- Pasta: 175 (inconsistent, as it exceeds the range 130 ± 20)
- Salad: 17 (consistent, as 30 ± 20 includes 17)
- Enchiladas: 14 (consistent, as 30 ± 20 includes 14)

### Day 3 Results:
- Pasta: 105 (inconsistent, as it is below the range 130 ± 20)
- Salad: 31 (consistent, as 30 ± 20 includes 31)
- Enchiladas: 33 (consistent, as 30 ± 20 includes 33)

### Total of All 3 Days Results:
- Total Pasta: [tex]\(130 + 175 + 105 = 410\)[/tex] (consistent with the model expectation: 130 3 = 390 ± 60)
- Total Salad: [tex]\(37 + 17 + 31 = 85\)[/tex] (consistent with the model expectation: 30
3 = 90 ± 60)
- Total Enchiladas: [tex]\(38 + 14 + 33 = 85\)[/tex] (consistent with the model expectation: 30 * 3 = 90 ± 60)

### Classification Table
\begin{tabular}{|c|c|}
\hline \begin{tabular}{c}
Consistent with \\
Model
\end{tabular} & \begin{tabular}{c}
Inconsistent with \\
Model
\end{tabular} \\
\hline
Day 1 results & Day 2 Pasta results \\
Day 2 Salad results & Day 3 Pasta results \\
Day 2 Enchiladas results & \\
Day 3 Salad results & \\
Day 3 Enchiladas results & \\
Total of all 3 days results & \\
\hline
\end{tabular}

The results are summarized as consistent or inconsistent based on our model expectations and given thresholds.