Answer :
To determine which set of [tex]\( x \)[/tex] and [tex]\( y \)[/tex] values should be entered into a regression calculator to find the equation of the trend line, let's evaluate the given options:
We need to identify a complete set where each [tex]\( x \)[/tex] has a corresponding [tex]\( y \)[/tex].
1. Option 1:
- [tex]\( x: 3, 4, 6, 8, 9, 12 \)[/tex]
- [tex]\( y: 2, 5, 7, 10, 11, 15 \)[/tex]
2. Option 2:
- [tex]\( x: 3, 4, 6, 8, 9, 15 \)[/tex]
- [tex]\( y: 2, 5, 7, 10, 11, 12 \)[/tex]
3. Option 3:
- [tex]\( x: 2, 5, 7, 10, 11, 15 \)[/tex]
- [tex]\( y: 3, 4, 6, 8, 9, 12 \)[/tex]
4. Option 4:
- [tex]\( x: 2, 5, 7, 10, 11, 12 \)[/tex]
- [tex]\( y: 3, 4, 6, 8, 9, 15 \)[/tex]
The correct choice should represent a logical progression where each [tex]\( x \)[/tex] value is uniquely paired with a corresponding [tex]\( y \)[/tex]. Looking at Option 4:
- [tex]\( x \)[/tex]: 2, 5, 7, 10, 11, 12
- [tex]\( y \)[/tex]: 3, 4, 6, 8, 9, 15
Each [tex]\( x \)[/tex] value is paired sequentially and uniquely with a [tex]\( y \)[/tex] value. This pairing makes logical sense for a regression calculation, as it provides a complete dataset that a calculator can use to determine an equation for the trend line.
Thus, the values for [tex]\( x \)[/tex] and [tex]\( y \)[/tex] to input into the regression calculator are:
- [tex]\( x: 2, 5, 7, 10, 11, 12 \)[/tex]
- [tex]\( y: 3, 4, 6, 8, 9, 15 \)[/tex]
We need to identify a complete set where each [tex]\( x \)[/tex] has a corresponding [tex]\( y \)[/tex].
1. Option 1:
- [tex]\( x: 3, 4, 6, 8, 9, 12 \)[/tex]
- [tex]\( y: 2, 5, 7, 10, 11, 15 \)[/tex]
2. Option 2:
- [tex]\( x: 3, 4, 6, 8, 9, 15 \)[/tex]
- [tex]\( y: 2, 5, 7, 10, 11, 12 \)[/tex]
3. Option 3:
- [tex]\( x: 2, 5, 7, 10, 11, 15 \)[/tex]
- [tex]\( y: 3, 4, 6, 8, 9, 12 \)[/tex]
4. Option 4:
- [tex]\( x: 2, 5, 7, 10, 11, 12 \)[/tex]
- [tex]\( y: 3, 4, 6, 8, 9, 15 \)[/tex]
The correct choice should represent a logical progression where each [tex]\( x \)[/tex] value is uniquely paired with a corresponding [tex]\( y \)[/tex]. Looking at Option 4:
- [tex]\( x \)[/tex]: 2, 5, 7, 10, 11, 12
- [tex]\( y \)[/tex]: 3, 4, 6, 8, 9, 15
Each [tex]\( x \)[/tex] value is paired sequentially and uniquely with a [tex]\( y \)[/tex] value. This pairing makes logical sense for a regression calculation, as it provides a complete dataset that a calculator can use to determine an equation for the trend line.
Thus, the values for [tex]\( x \)[/tex] and [tex]\( y \)[/tex] to input into the regression calculator are:
- [tex]\( x: 2, 5, 7, 10, 11, 12 \)[/tex]
- [tex]\( y: 3, 4, 6, 8, 9, 15 \)[/tex]
