Answer :
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.
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.