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------------------------------------------------ What values should be entered for [tex]x[/tex] and [tex]y[/tex] into a regression calculator to find the equation of the trend line?

A. [tex]x: 3, 4, 6, 8, 9, 12[/tex]
[tex]y: 2, 5, 7, 10, 11, 15[/tex]

B. [tex]x: 3, 4, 6, 8, 9, 15[/tex]
[tex]y: 2, 5, 7, 10, 11, 12[/tex]

C. [tex]x: 2, 5, 7, 10, 11, 15[/tex]
[tex]y: 3, 4, 6, 8, 9, 12[/tex]

D. [tex]x: 2, 5, 7, 10, 11, 12[/tex]
[tex]y: 3, 4, 6, 8, 9, 15[/tex]

To find the equation of the trend line using a regression calculator, you need to input paired data points. The table you are looking at consists of two columns. Each row forms a pair of values, where the first number is [tex]\( x \)[/tex] and the second number is [tex]\( y \)[/tex].

Let’s list these pairs from the table:

- [tex]\((3, 2)\)[/tex]
- [tex]\((4, 5)\)[/tex]
- [tex]\((6, 7)\)[/tex]
- [tex]\((8, 10)\)[/tex]
- [tex]\((9, 11)\)[/tex]
- [tex]\((12, 15)\)[/tex]

From these pairs, the values that should be entered into a regression calculator are:

- For [tex]\( x \)[/tex]: 3, 4, 6, 8, 9, 12
- For [tex]\( y \)[/tex]: 2, 5, 7, 10, 11, 15

These are the appropriate values as they correctly represent each [tex]\( (x, y) \)[/tex] pair from the table in order. By inputting these values into a regression calculator, you can find the equation of the trend line that best fits these data points. Make sure you enter them as corresponding pairs to maintain their relationships.