Question
For which of these sets of data would all the points be displayed on a scatterplot if the window size on a regression calculator were set to 5 less-than-or-equal-to x less-than-or-equal-to 15; 25 less-than-or-equal-to y less-than-or-equal-to 75?
A 2-column table with 6 rows. Column 1 is labeled x with entries 6, 7, 9, 11, 13, 14. Column 2 is labeled y with entries 27, 33, 39, 49, 58, 71.
A 2-column table with 6 rows. Column 1 is labeled x with entries 6, 7, 9, 11, 13, 16. Column 2 is labeled y with entries 27, 33, 39, 49, 58, 71.
A 2-column table with 6 rows. Column 1 is labeled x with entries 27, 33, 39, 49, 58, 71. Column 2 is labeled y with entries 6, 7, 9, 11, 13, 14.
A 2-column table with 6 rows. Column 1 is labeled x with entries 27, 33, 39, 49, 58, 71. Column 2 is labeled y with entries 6, 7, 9, 11, 13, 16.
A 2-column table with 6 rows. Column 1 is labeled x with entries 6, 7, 9, 11, 13, 14. Column 2 is labeled y with entries 27, 33, 39, 49, 58, 71.
A 2-column table with 6 rows. Column 1 is labeled x with entries 6, 7, 9, 11, 13, 16. Column 2 is labeled y with entries 27, 33, 39, 49, 58, 71.
A 2-column table with 6 rows. Column 1 is labeled x with entries 27, 33, 39, 49, 58, 71. Column 2 is labeled y with entries 6, 7, 9, 11, 13, 14.
A 2-column table with 6 rows. Column 1 is labeled x with entries 27, 33, 39, 49, 58, 71. Column 2 is labeled y with entries 6, 7, 9, 11, 13, 16.
Answers
GPT-4o mini
To determine which set of data would have all points displayed on a scatterplot with the specified window size of \(5 \leq x \leq 15\) and \(25 \leq y \leq 75\), we will analyze each option given.
### Option A:
- Column 1 (x values): 6, 7, 9, 11, 13, 14
- All these values are within the range \(5 \leq x \leq 15\).
- Column 2 (y values): 27, 33, 39, 49, 58, 71
- All these values are within the range \(25 \leq y \leq 75\).
### Conclusion for Option A:
**All points will be displayed on the scatterplot.**
### Option B:
- Column 1 (x values): 6, 7, 9, 11, 13, 16
- The value 16 is **outside** the \(5 \leq x \leq 15\) range.
- Column 2 (y values): 27, 33, 39, 49, 58, 71
- All these values are within the range \(25 \leq y \leq 75\).
### Conclusion for Option B:
**Not all points will be displayed (16 is out of range).**
### Option C:
- Column 1 (x values): 27, 33, 39, 49, 58, 71
- All these values are **outside** the \(5 \leq x \leq 15\) range.
- Column 2 (y values): 6, 7, 9, 11, 13, 14
- All these values are within the range \(25 \leq y \leq 75\), but since x values fail, it doesn’t matter.
### Conclusion for Option C:
**Not all points will be displayed (x values are out of range).**
### Option D:
- Column 1 (x values): 27, 33, 39, 49, 58, 71
- All these values are **outside** the \(5 \leq x \leq 15\) range.
- Column 2 (y values): 6, 7, 9, 11, 13, 16
- All these values are also **outside** the \(25 \leq y \leq 75\) range.
### Conclusion for Option D:
**Not all points will be displayed (both x and y values are out of range).**
### Final Answer:
**Only Option A will have all points displayed on the scatterplot.**
### Option A:
- Column 1 (x values): 6, 7, 9, 11, 13, 14
- All these values are within the range \(5 \leq x \leq 15\).
- Column 2 (y values): 27, 33, 39, 49, 58, 71
- All these values are within the range \(25 \leq y \leq 75\).
### Conclusion for Option A:
**All points will be displayed on the scatterplot.**
### Option B:
- Column 1 (x values): 6, 7, 9, 11, 13, 16
- The value 16 is **outside** the \(5 \leq x \leq 15\) range.
- Column 2 (y values): 27, 33, 39, 49, 58, 71
- All these values are within the range \(25 \leq y \leq 75\).
### Conclusion for Option B:
**Not all points will be displayed (16 is out of range).**
### Option C:
- Column 1 (x values): 27, 33, 39, 49, 58, 71
- All these values are **outside** the \(5 \leq x \leq 15\) range.
- Column 2 (y values): 6, 7, 9, 11, 13, 14
- All these values are within the range \(25 \leq y \leq 75\), but since x values fail, it doesn’t matter.
### Conclusion for Option C:
**Not all points will be displayed (x values are out of range).**
### Option D:
- Column 1 (x values): 27, 33, 39, 49, 58, 71
- All these values are **outside** the \(5 \leq x \leq 15\) range.
- Column 2 (y values): 6, 7, 9, 11, 13, 16
- All these values are also **outside** the \(25 \leq y \leq 75\) range.
### Conclusion for Option D:
**Not all points will be displayed (both x and y values are out of range).**
### Final Answer:
**Only Option A will have all points displayed on the scatterplot.**