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Sagot :
Let's analyse the table data and categorize the results according to the consistency with the model.
We have the following data from the table:
[tex]\[ \begin{array}{|c|c|c|c|} \hline Week & \text{Soccer Balls} & \text{Baseball Bats} & \text{Tennis Rackets} \\ \hline 1 & 85 & 30 & 31 \\ \hline 2 & 110 & 22 & 23 \\ \hline 3 & 64 & 21 & 23 \\ \hline \end{array} \][/tex]
We need to determine the total sales for all three weeks for each category and classify the results as consistent or inconsistent.
1. Total of all 3 weeks' results:
- Soccer Balls: [tex]\( 85 + 110 + 64 = 259 \)[/tex]
- Baseball Bats: [tex]\( 30 + 22 + 21 = 73 \)[/tex]
- Tennis Rackets: [tex]\( 31 + 23 + 23 = 77 \)[/tex]
These results are classified as:
- Soccer Balls: Consistent
- Baseball Bats: Consistent
- Tennis Rackets: Consistent
2. Week 2 results:
- Soccer Balls: 110
- Baseball Bats: 22
- Tennis Rackets: 23
These results are classified as:
- Soccer Balls: Consistent
- Baseball Bats: Consistent
- Tennis Rackets: Consistent
3. Week 3 results:
- Soccer Balls: 64
- Baseball Bats: 21
- Tennis Rackets: 23
These results are classified as:
- Soccer Balls: Inconsistent
- Baseball Bats: Inconsistent
- Tennis Rackets: Consistent
4. Week 1 results:
- Soccer Balls: 85
- Baseball Bats: 30
- Tennis Rackets: 31
These results are classified as:
- Soccer Balls: Inconsistent
- Baseball Bats: Consistent
- Tennis Rackets: Consistent
Now, we will classify these results in the table:
[tex]\[ \begin{array}{|c|c|} \hline \text{Consistent with Model} & \text{Inconsistent with Model} \\ \hline \begin{array}{c} 259 \text{ (Soccer Balls)} \\ 73 \text{ (Baseball Bats)} \\ 77 \text{ (Tennis Rackets)} \\ 110 \text{ (Week 2 Soccer Balls)} \\ 22 \text{ (Week 2 Baseball Bats)} \\ 23 \text{ (Week 2 Tennis Rackets)} \\ \end{array} & \begin{array}{c} 64 \text{ (Week 3 Soccer Balls)} \\ 21 \text{ (Week 3 Baseball Bats)} \\ 85 \text{ (Week 1 Soccer Balls)} \\ \end{array} \\ \hline \begin{array}{c} 23 \text{ (Week 3 Tennis Rackets)} \\ 30 \text{ (Week 1 Baseball Bats)} \\ 31 \text{ (Week 1 Tennis Rackets)} \\ \end{array} & \\ \hline \end{array} \][/tex]
Therefore, based on the given model, we have categorized the results as consistent or inconsistent with the model.
We have the following data from the table:
[tex]\[ \begin{array}{|c|c|c|c|} \hline Week & \text{Soccer Balls} & \text{Baseball Bats} & \text{Tennis Rackets} \\ \hline 1 & 85 & 30 & 31 \\ \hline 2 & 110 & 22 & 23 \\ \hline 3 & 64 & 21 & 23 \\ \hline \end{array} \][/tex]
We need to determine the total sales for all three weeks for each category and classify the results as consistent or inconsistent.
1. Total of all 3 weeks' results:
- Soccer Balls: [tex]\( 85 + 110 + 64 = 259 \)[/tex]
- Baseball Bats: [tex]\( 30 + 22 + 21 = 73 \)[/tex]
- Tennis Rackets: [tex]\( 31 + 23 + 23 = 77 \)[/tex]
These results are classified as:
- Soccer Balls: Consistent
- Baseball Bats: Consistent
- Tennis Rackets: Consistent
2. Week 2 results:
- Soccer Balls: 110
- Baseball Bats: 22
- Tennis Rackets: 23
These results are classified as:
- Soccer Balls: Consistent
- Baseball Bats: Consistent
- Tennis Rackets: Consistent
3. Week 3 results:
- Soccer Balls: 64
- Baseball Bats: 21
- Tennis Rackets: 23
These results are classified as:
- Soccer Balls: Inconsistent
- Baseball Bats: Inconsistent
- Tennis Rackets: Consistent
4. Week 1 results:
- Soccer Balls: 85
- Baseball Bats: 30
- Tennis Rackets: 31
These results are classified as:
- Soccer Balls: Inconsistent
- Baseball Bats: Consistent
- Tennis Rackets: Consistent
Now, we will classify these results in the table:
[tex]\[ \begin{array}{|c|c|} \hline \text{Consistent with Model} & \text{Inconsistent with Model} \\ \hline \begin{array}{c} 259 \text{ (Soccer Balls)} \\ 73 \text{ (Baseball Bats)} \\ 77 \text{ (Tennis Rackets)} \\ 110 \text{ (Week 2 Soccer Balls)} \\ 22 \text{ (Week 2 Baseball Bats)} \\ 23 \text{ (Week 2 Tennis Rackets)} \\ \end{array} & \begin{array}{c} 64 \text{ (Week 3 Soccer Balls)} \\ 21 \text{ (Week 3 Baseball Bats)} \\ 85 \text{ (Week 1 Soccer Balls)} \\ \end{array} \\ \hline \begin{array}{c} 23 \text{ (Week 3 Tennis Rackets)} \\ 30 \text{ (Week 1 Baseball Bats)} \\ 31 \text{ (Week 1 Tennis Rackets)} \\ \end{array} & \\ \hline \end{array} \][/tex]
Therefore, based on the given model, we have categorized the results as consistent or inconsistent with the model.
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