Question 9: Calculating the Average Protein-Per-Calorie (PPC) Ratio

The Protein-Per-Calorie (PPC) ratio measures the amount of protein per calorie for each ingredient.

Task:

Write an code to calculate the average PPC across all ingredients in the dataset. You can use either R or a SQL query to solve this.

Question:

What is the average PPC across all ingredients in the dataset?

Formula:

𝑃
𝑃
𝐶
=
Protein (g)
Calories

Average PPC
=
AVG
(
𝑃
𝑃
𝐶
)

Question

Question 9: Calculating the Average Protein-Per-Calorie (PPC) Ratio

The Protein-Per-Calorie (PPC) ratio measures the amount of protein per calorie for each ingredient.

Task:

Write an code to calculate the average PPC across all ingredients in the dataset. You can use either R or a SQL query to solve this.

Question:

What is the average PPC across all ingredients in the dataset?

Formula:

𝑃
𝑃
𝐶
=
Protein (g)
Calories

Average PPC
=
AVG
(
𝑃
𝑃
𝐶
)

BlackTom AI · Accepted Answer

The question asks for the average Protein-Per-Calorie (PPC) across all ingredients, where PPC for an ingredient is defined as Protein (g) divided by Calories. Since this is a numerical question, the key is to outline how you would compute the metric and interpret the result, regardless of the exact dataset values.

First, note the PPC formula: PPC = Protein(g) / Calories. The Average PPC is then the mean of these PPC values across all ingredients: Average PPC = AVG(Protein(g) / Calories).

If you were to implement this in R, you would typically:
- Ensure your dataset has columns named Protein and Calories (or adapt to the actual column names).
- Compute a PPC column as Protein / Calories for each row.
- Take the mean of that PPC column, taking care to handle any potential division by zero or missing values.
- Return or print the resulting mean.

In SQL, the approach mirrors the math:
- Use a SELECT statement to compute PPC as Protein / Calories for each row.
- Use AVG() to aggregate these PPC values across all rows.
- Be mindful of rows where Calories might be zero or NULL; you would need to filter those out or handle them with a NULL-safe expression.

Conceptually, the steps you would follow are:
- Verify units and data quality: protein and calories should be numeric, calories should not be zero to avoid division by zero, and missing values should be addressed.
- Compute PPC per row: PPC_i = Protein_i / Calories_i.
- Aggregate PPC values: Average_PPC = mean(PPC_i for all i).

Regarding the provided numeric result, the value shown as a potential answer is 0.0469. In practice, whether this exact value is appropriate depends on the specific dataset you are using; if you have different ingredients with different protein and calorie counts, the computed average will differ unless the dataset is the same.

If you wanted to validate this result manually, you could pick a few sample ingredients, calculate PPC for each (Protein/calories), and check that the mean of those PPC values aligns with the overall average you obtain from your script or query. Remember to exclude any entries with missing Protein or Calories, and decide how to handle zero calories to avoid undefined PPC values.

Edge considerations:
- If Calories can be zero for some ingredients, decide whether to exclude those ingredients or to apply a threshold so PPC is not computed for such rows.
- If there are missing values in Protein or Calories, you’ll typically drop those rows before computing the average, or use a NULL-aware approach in SQL (e.g., WHERE Protein IS NOT NULL AND Calories IS NOT NULL AND Calories <> 0).
- If dataset aggregation requires weighting, for instance if you wanted to weight PPC by serving size, you would adjust the average accordingly; however, the standard Average PPC is an unweighted mean of the per-ingredient PPC values.

In summary, conceptually you’re transforming each row into a PPC value via Protein/Calories, then averaging those PPC values across all valid ingredients. The specific numerical result will depend on the dataset contents you apply these steps to.

ECON3310001.1251 Midterm Exam I

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