Using the table below how would you solve for these steps? I'm using the table showing over the years the Texas rangers winning. 1. Pick a starting year from your data to correspond to t = 0 (For example, "let 1980 correspond to t=0"). From the table, select a pair of points and use these points to construct a linear model for the data. Show your work. 2. Repeat part 1, selecting a different pair of points. 5. Carefully graph the data set from part B (that is, the 15 or more points of your data) and the equations from parts C and D (these will be lines). Which equation better represents the actual data? Does a linear model seem like a good fit for your data? Explain your answers. 3. Use your starting year and another data point of your choice to construct an exponential model for the data.

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### Data Analysis Steps for Texas Rangers Winning Data

Using the table below, follow these steps to analyze the Texas Rangers' winning data over the years:

1. **Select a Starting Year**: Choose a year from your dataset to correspond to \( t = 0 \). For example, let 1980 correspond to \( t = 0 \). From this table, select a pair of points to construct a linear model for the data. Make sure to show your calculations and reasoning.

2. **Repeat the Process**: Redo the above step by selecting a different pair of points. This helps in comparing different linear models for accuracy.

3. **Construct an Exponential Model**: Using your starting year and another data point of your choice, create an exponential model for the data.

4. **Graphical Representation**: Plot the dataset from part B (comprising 15 or more data points) on a graph. Additionally, add the equations derived in parts C and D to your plot. These should manifest as lines on your graph.

5. **Analysis and Conclusion**: Determine which equation better represents the actual data. Assess if a linear model is a good fit for your dataset and provide explanations for your conclusions. 

This detailed process helps in understanding and modeling the winning trends of the Texas Rangers using various mathematical approaches.
Transcribed Image Text:### Data Analysis Steps for Texas Rangers Winning Data Using the table below, follow these steps to analyze the Texas Rangers' winning data over the years: 1. **Select a Starting Year**: Choose a year from your dataset to correspond to \( t = 0 \). For example, let 1980 correspond to \( t = 0 \). From this table, select a pair of points to construct a linear model for the data. Make sure to show your calculations and reasoning. 2. **Repeat the Process**: Redo the above step by selecting a different pair of points. This helps in comparing different linear models for accuracy. 3. **Construct an Exponential Model**: Using your starting year and another data point of your choice, create an exponential model for the data. 4. **Graphical Representation**: Plot the dataset from part B (comprising 15 or more data points) on a graph. Additionally, add the equations derived in parts C and D to your plot. These should manifest as lines on your graph. 5. **Analysis and Conclusion**: Determine which equation better represents the actual data. Assess if a linear model is a good fit for your dataset and provide explanations for your conclusions. This detailed process helps in understanding and modeling the winning trends of the Texas Rangers using various mathematical approaches.
**Postseason Results**

| Season | Round                      | Opponent                  | Series Result |
|--------|----------------------------|---------------------------|---------------|
| 2023   | World Series               | Arizona Diamondbacks      | W 4-1         |
| 2023   | League Championship Series | Houston Astros            | W 4-3         |
| 2023   | League Divisional Series   | Baltimore Orioles         | W 3-0         |
| 2016   | League Divisional Series   | Toronto Blue Jays         | L 0-3         |
| 2015   | League Divisional Series   | Toronto Blue Jays         | L 2-3         |
| 2012   | Wild Card Game             | Baltimore Orioles         | L 0-1         |
| 2011   | World Series               | St. Louis Cardinals       | L 3-4         |
| 2011   | League Championship Series | Detroit Tigers            | W 4-2         |
| 2011   | League Divisional Series   | Tampa Bay Rays            | W 3-1         |
| 2010   | World Series               | San Francisco Giants      | L 1-4         |
| 2010   | League Championship Series | New York Yankees          | W 4-2         |
| 2010   | League Divisional Series   | Tampa Bay Rays            | W 3-2         |
| 1999   | League Divisional Series   | New York Yankees          | L 0-3         |
| 1998   | League Divisional Series   | New York Yankees          | L 0-3         |
| 1996   | League Divisional Series   | New York Yankees          | L 1-3         |
Transcribed Image Text:**Postseason Results** | Season | Round | Opponent | Series Result | |--------|----------------------------|---------------------------|---------------| | 2023 | World Series | Arizona Diamondbacks | W 4-1 | | 2023 | League Championship Series | Houston Astros | W 4-3 | | 2023 | League Divisional Series | Baltimore Orioles | W 3-0 | | 2016 | League Divisional Series | Toronto Blue Jays | L 0-3 | | 2015 | League Divisional Series | Toronto Blue Jays | L 2-3 | | 2012 | Wild Card Game | Baltimore Orioles | L 0-1 | | 2011 | World Series | St. Louis Cardinals | L 3-4 | | 2011 | League Championship Series | Detroit Tigers | W 4-2 | | 2011 | League Divisional Series | Tampa Bay Rays | W 3-1 | | 2010 | World Series | San Francisco Giants | L 1-4 | | 2010 | League Championship Series | New York Yankees | W 4-2 | | 2010 | League Divisional Series | Tampa Bay Rays | W 3-2 | | 1999 | League Divisional Series | New York Yankees | L 0-3 | | 1998 | League Divisional Series | New York Yankees | L 0-3 | | 1996 | League Divisional Series | New York Yankees | L 1-3 |
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