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The table shows the weight of a dog in pounds at various ages in months.

Age vs. Weight of a Dog
Age in months
Weight in pounds
3
2
4
5
6
7
8
10
9
11
12
15

What values should be entered for x and y into a regression calculator to find the equation of the trend line?
x: 3, 4, 6, 8, 9, 12
y: 2, 5, 7, 10, 11, 15
x: 3, 4, 6, 8, 9, 15
y: 2, 5, 7, 10, 11, 12
x: 2, 5, 7, 10, 11, 15
y: 3, 4, 6, 8, 9, 12
x: 2, 5, 7, 10, 11, 12
y: 3, 4, 6, 8, 9, 15

1 answer

To find the equation of the trend line using the given data, you need to accurately pair the age of the dog (in months) with the corresponding weight (in pounds).

From the data table:

  • At age 3 months, the weight is 2 pounds.
  • At age 4 months, the weight is 5 pounds.
  • At age 6 months, the weight is 7 pounds.
  • At age 8 months, the weight is 10 pounds.
  • At age 9 months, the weight is 11 pounds.
  • At age 12 months, the weight is 15 pounds.

Thus, the proper values to enter into the regression calculator would be:

x (age in months): 3, 4, 6, 8, 9, 12 y (weight in pounds): 2, 5, 7, 10, 11, 15

This matches the first option in your list. So the answer is:

x: 3, 4, 6, 8, 9, 12 y: 2, 5, 7, 10, 11, 15