### Stock Value Analysis#### Problem StatementThe price of Tommy Hilfiger stock during a 4-hour period is given below. If a third-degree polynomial models this stock, do you expect the stock to go up or down in the fifth period?#### Data RepresentationThe table below shows the price of Tommy Hilfiger stock over a 4-hour period: Period Watching Stock Market Price 1 $15.10 2 $14.76 3 $15.50 4 $14.85 ### Analysis and ConsiderationsTo determine whether the stock price will go up or down in the fifth period using a third-degree polynomial model, we need to consider the trend displayed by the given data points. #### Approach:1. **Plot the Data and Fit a Polynomial:** Fit a third-degree polynomial to the data points. The general form of a third-degree polynomial is: \[ P(x) = ax^3 + bx^2 + cx + d \]2. **Examine the Polynomial:** By fitting the polynomial to the data points for periods 1 to 4, we can evaluate the polynomial at $ x = 5 $ to predict the stock price in the fifth period.3. **Trend Analysis:** Observe the polynomial's behavior around the previous data points to infer the trend and assess if the general direction is increasing or decreasing.#### ConclusionBy following this approach, we can predict if the Tommy Hilfiger stock price will go up or down in the fifth period using third-degree polynomial modeling techniques.

Observe the above table carefully. It is given that the price of the stock follows a cubic…

Answered: third-degree polynomial

Math

Calculus

third-degree polynomial

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

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### Stock Value Analysis

#### Problem Statement

The price of Tommy Hilfiger stock during a 4-hour period is given below. If a third-degree polynomial models this stock, do you expect the stock to go up or down in the fifth period?

#### Data Representation

The table below shows the price of Tommy Hilfiger stock over a 4-hour period:

<table>
<thead>
<tr>
<th>Period Watching Stock Market</th>
<th>Price</th>
</tr>
</thead>
<tbody>
<tr>
<td>1</td>
<td>$15.10</td>
</tr>
<tr>
<td>2</td>
<td>$14.76</td>
</tr>
<tr>
<td>3</td>
<td>$15.50</td>
</tr>
<tr>
<td>4</td>
<td>$14.85</td>
</tr>
</tbody>
</table>

### Analysis and Considerations

To determine whether the stock price will go up or down in the fifth period using a third-degree polynomial model, we need to consider the trend displayed by the given data points.

#### Approach:

1. **Plot the Data and Fit a Polynomial:**
Fit a third-degree polynomial to the data points. The general form of a third-degree polynomial is:
\[
P(x) = ax^3 + bx^2 + cx + d
\]

2. **Examine the Polynomial:**
By fitting the polynomial to the data points for periods 1 to 4, we can evaluate the polynomial at $ x = 5 $ to predict the stock price in the fifth period.

3. **Trend Analysis:**
Observe the polynomial's behavior around the previous data points to infer the trend and assess if the general direction is increasing or decreasing.

#### Conclusion

By following this approach, we can predict if the Tommy Hilfiger stock price will go up or down in the fifth period using third-degree polynomial modeling techniques.

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