Consider the following table, which shows a data set relating the number of full days hikers spent on the Appalachian trail (a very long trail that attracts ambitious hikers), and the number of miles they hiked along the trail. x (full days of hiking) y (miles hiked) 9 139

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The table below illustrates a dataset showing the relationship between the number of full days hikers spent on the Appalachian Trail and the number of miles they hiked. The Appalachian Trail is known for attracting determined hikers due to its extensive length.

| x (full days of hiking) | y (miles hiked) |
|-------------------------|-----------------|
| 9                       | 139             |
| 1                       | 16              |
| 64                      | 800             |
| 8                       | 112             |
| 5                       | 73              |
| 14                      | 249             |
| 10                      | 136             |
| 19                      | 310             |
| 2                       | 32              |
| 13                      | 205             |
| 46                      | 787             |
| 12                      | 210             |

This dataset can be used to analyze and model the relationship between time spent hiking and distance covered on such a challenging trail.
Transcribed Image Text:The table below illustrates a dataset showing the relationship between the number of full days hikers spent on the Appalachian Trail and the number of miles they hiked. The Appalachian Trail is known for attracting determined hikers due to its extensive length. | x (full days of hiking) | y (miles hiked) | |-------------------------|-----------------| | 9 | 139 | | 1 | 16 | | 64 | 800 | | 8 | 112 | | 5 | 73 | | 14 | 249 | | 10 | 136 | | 19 | 310 | | 2 | 32 | | 13 | 205 | | 46 | 787 | | 12 | 210 | This dataset can be used to analyze and model the relationship between time spent hiking and distance covered on such a challenging trail.
To check this is entered correctly on your calculator, press [stat], go to CALC, and select "2:2-Var Stats". Run this on your two lists. When you scroll down the list, you should see Σxy=105915.

Enter this data into your calculator and obtain a linear equation of best fit using the linear regression feature. Type the equation here in \( y = mx + b \) form, rounding \( m \) and \( b \) to two decimal places.

\[ \text{[Equation Box]} \]

Based on your regression equation above, predict how many miles a hiker would be able to hike on the Appalachian trail if they planned to hike for 33 days. Round your answer to the nearest full mile.

\[ \text{[Miles Box]} \] miles

If a typical hiker wanted to see a solid 365-mile stretch of the Appalachian Trail, how many days should they plan to hike? Round up to the next full day.

\[ \text{[Days Box]} \] days
Transcribed Image Text:To check this is entered correctly on your calculator, press [stat], go to CALC, and select "2:2-Var Stats". Run this on your two lists. When you scroll down the list, you should see Σxy=105915. Enter this data into your calculator and obtain a linear equation of best fit using the linear regression feature. Type the equation here in \( y = mx + b \) form, rounding \( m \) and \( b \) to two decimal places. \[ \text{[Equation Box]} \] Based on your regression equation above, predict how many miles a hiker would be able to hike on the Appalachian trail if they planned to hike for 33 days. Round your answer to the nearest full mile. \[ \text{[Miles Box]} \] miles If a typical hiker wanted to see a solid 365-mile stretch of the Appalachian Trail, how many days should they plan to hike? Round up to the next full day. \[ \text{[Days Box]} \] days
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