The average weekly sales for a clothing store between 2004 and 2008 are given below. Average Weekly Sales for a Clothing Store Year 2004 2005 2006 2007 2008 Thousand Dollars 38.94 53.58 63.88 72.08 68.15 (a) What behavior suggested by a scatter plot of the data indicates that a quadratic model is appropriate? O a single concavity with a change in direction. O no concavities O two concavities with no change in direction O a single concavity with no change in direction (b) Align the input that t=0 in 2000. Find a function for quadratic model for the data that gives the average weekly sales for the clothing store i thousand dollars, with data from 4 Sts 8. (Round all numerical values to three decimal places.) s(t) = (c) Numerically estimate the derivative of the model from part (b) in 2007 to the nearest hundred dollars. per year (d) Interpret the answer to part (c).
The average weekly sales for a clothing store between 2004 and 2008 are given below. Average Weekly Sales for a Clothing Store Year 2004 2005 2006 2007 2008 Thousand Dollars 38.94 53.58 63.88 72.08 68.15 (a) What behavior suggested by a scatter plot of the data indicates that a quadratic model is appropriate? O a single concavity with a change in direction. O no concavities O two concavities with no change in direction O a single concavity with no change in direction (b) Align the input that t=0 in 2000. Find a function for quadratic model for the data that gives the average weekly sales for the clothing store i thousand dollars, with data from 4 Sts 8. (Round all numerical values to three decimal places.) s(t) = (c) Numerically estimate the derivative of the model from part (b) in 2007 to the nearest hundred dollars. per year (d) Interpret the answer to part (c).
MATLAB: An Introduction with Applications
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![### Average Weekly Sales for a Clothing Store (2004-2008)
The average weekly sales for a clothing store between 2004 and 2008 are given below:
#### Average Weekly Sales for a Clothing Store
| Year | Thousand Dollars |
|------|------------------|
| 2004 | 38.94 |
| 2005 | 53.58 |
| 2006 | 63.88 |
| 2007 | 72.08 |
| 2008 | 68.15 |
### Analysis Questions:
**(a)** What behavior suggested by a scatter plot of the data indicates that a quadratic model is appropriate?
- **Options:**
- A single concavity with a change in direction
- No concavities
- Two concavities with no change in direction
- A single concavity with no change in direction
**(b)** Align the input so that \( t = 0 \) in 2000. Find a function for the quadratic model for the data that gives the average weekly sales for the clothing store in thousand dollars, with data from \( 4 \leq t \leq 8 \). (Round all numerical values to three decimal places.)
\[ s(t) = \_\_\_\_\_\_ \]
**(c)** Numerically estimate the derivative of the model from part (b) in 2007 to the nearest hundred dollars.
\[ \text{Estimated Derivative: } \$ \_\_\_\_ \text{ per year} \]
**(d)** Interpret the answer to part (c).
In 2007, the average weekly sales for the clothing store were
\[ \_\_\_\_\_ \]
by
\[ \$ \_\_\_\_ \text{ per year} \].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1446b12-d593-46d1-b995-c0d8e06662e6%2F24581111-85b7-4ef9-8d22-a02c156415d1%2Fud9txsw_processed.png&w=3840&q=75)
Transcribed Image Text:### Average Weekly Sales for a Clothing Store (2004-2008)
The average weekly sales for a clothing store between 2004 and 2008 are given below:
#### Average Weekly Sales for a Clothing Store
| Year | Thousand Dollars |
|------|------------------|
| 2004 | 38.94 |
| 2005 | 53.58 |
| 2006 | 63.88 |
| 2007 | 72.08 |
| 2008 | 68.15 |
### Analysis Questions:
**(a)** What behavior suggested by a scatter plot of the data indicates that a quadratic model is appropriate?
- **Options:**
- A single concavity with a change in direction
- No concavities
- Two concavities with no change in direction
- A single concavity with no change in direction
**(b)** Align the input so that \( t = 0 \) in 2000. Find a function for the quadratic model for the data that gives the average weekly sales for the clothing store in thousand dollars, with data from \( 4 \leq t \leq 8 \). (Round all numerical values to three decimal places.)
\[ s(t) = \_\_\_\_\_\_ \]
**(c)** Numerically estimate the derivative of the model from part (b) in 2007 to the nearest hundred dollars.
\[ \text{Estimated Derivative: } \$ \_\_\_\_ \text{ per year} \]
**(d)** Interpret the answer to part (c).
In 2007, the average weekly sales for the clothing store were
\[ \_\_\_\_\_ \]
by
\[ \$ \_\_\_\_ \text{ per year} \].
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