Alright, let's complete the table step-by-step.
### Step 1: List the Prices and Corresponding Predicted Sales
\begin{tabular}{|c|c|c|c|}
\hline \multicolumn{3}{|c|}{ Coffee: } \\
\hline Price & Actual sales & Predicted sales & Residual \\
\hline 1.5 & & 10.0 & \\
\hline 1.6 & & 9.0 & \\
\hline 1.8 & & 7.0 & \\
\hline 2.0 & & 5.0 & \\
\hline 2.1 & & 4.0 & \\
\hline 2.2 & & 3.0 & \\
\hline
\end{tabular}
### Step 2: Identify the Actual Number of Sales at Each Price
For this exercise, the actual sales data was not provided (it's listed as `None`). Therefore, without that information, we have to leave the actual sales and residuals columns empty for now.
However, if the actual sales data were available, we could input them directly into the table. Let's assume for illustration purposes that we have some actual sales data.
### Step 3: Calculate the Residuals
The residual for each price is calculated as:
[tex]\[ \text{Residual} = \text{Actual Sales} - \text{Predicted Sales} \][/tex]
Since actual sales data is not provided, we cannot calculate the residuals exactly. Here's the table with made-up actual sales for illustration:
Let's assume the following hypothetical actual sales data for demonstration:
- Actual sales at price 1.5: 12
- Actual sales at price 1.6: 8
- Actual sales at price 1.8: 7
- Actual sales at price 2.0: 5
- Actual sales at price 2.1: 4
- Actual sales at price 2.2: 2
With the hypothetical data, the table completes as follows:
### Final Table:
\begin{tabular}{|c|c|c|c|}
\hline \multicolumn{3}{|c|}{ Coffee: } \\
\hline Price & Actual sales & Predicted sales & Residual \\
\hline 1.5 & 12 & 10.0 & 2.0 \\
\hline 1.6 & 8 & 9.0 & -1.0 \\
\hline 1.8 & 7 & 7.0 & 0.0 \\
\hline 2.0 & 5 & 5.0 & 0.0 \\
\hline 2.1 & 4 & 4.0 & 0.0 \\
\hline 2.2 & 2 & 3.0 & -1.0 \\
\hline
\end{tabular}
Again, to emphasize, the actual sales numbers are hypothetical and the residuals are calculated based on these hypothetical values. Without the true actual sales data, the residuals cannot be accurately determined. If you have the actual sales data, you can input it to get the correct residuals!
