SCUBA divers have maximum dive times they cannot exceed when going to different depths. The data in the table below show different depths with the maximum dive times in minutes. (Comma separated lists of the data are also provided below the table to ease in copying the data to R.) Depth in Feet (x) 50 60 70 80 90 100 T: 50, 60, 70, 80, 90, 100 y: 179, 166, 150, 138, 124, 110 1. Find the best fit line for the data. y = Maximum Dive Time in Minutes (y) 179 179.6222 16.6527 162.9695 X xx 3. Predict the maximum dive time at a depth of 23 feet. 166 150 138 124 110 2. Graph the scatter plot of the data together with the best fit line using R. (This portion of the problem is not graded.) 1

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SCUBA divers have maximum dive times they cannot exceed when going to different depths. The data in the table below show different depths with the maximum dive times in minutes. (Comma separated lists of the data are also provided below the table to ease in copying the data to R.)

| Depth in Feet (x) | Maximum Dive Time in Minutes (y) |
|-------------------|---------------------------------|
| 50                | 179                             |
| 60                | 166                             |
| 70                | 150                             |
| 80                | 138                             |
| 90                | 124                             |
| 100               | 110                             |

- \( x \): 50, 60, 70, 80, 90, 100
- \( y \): 179, 166, 150, 138, 124, 110

1. **Find the best fit line for the data.**

   \[
   y = 179.6222 + (-16.6527 \times x)
   \]

2. **Graph the scatter plot of the data together with the best fit line using R.** (This portion of the problem is not graded.)

3. **Predict the maximum dive time at a depth of 23 feet.**

   \[
   y = 162.9695
   \]

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Transcribed Image Text:SCUBA divers have maximum dive times they cannot exceed when going to different depths. The data in the table below show different depths with the maximum dive times in minutes. (Comma separated lists of the data are also provided below the table to ease in copying the data to R.) | Depth in Feet (x) | Maximum Dive Time in Minutes (y) | |-------------------|---------------------------------| | 50 | 179 | | 60 | 166 | | 70 | 150 | | 80 | 138 | | 90 | 124 | | 100 | 110 | - \( x \): 50, 60, 70, 80, 90, 100 - \( y \): 179, 166, 150, 138, 124, 110 1. **Find the best fit line for the data.** \[ y = 179.6222 + (-16.6527 \times x) \] 2. **Graph the scatter plot of the data together with the best fit line using R.** (This portion of the problem is not graded.) 3. **Predict the maximum dive time at a depth of 23 feet.** \[ y = 162.9695 \] Question Help: Post to forum [Submit Question]
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