Answer:
D
Explanation:
We know that the residual is the difference between the observed value and the predicted value for a given point. Let's assume that the predicted values for the three points in the data set are denoted by ŷ₁, ŷ₂, and ŷ₃, and the observed values are denoted by y₁, y₂, and y₃.
We can write the residuals as:
e₁ = y₁ - ŷ₁
e₂ = y₂ - ŷ₂
e₃ = y₃ - ŷ₃
We are given that two of the residuals are -7 and 4.
Let's assume that e₁ = -7 and e₂ = 4.
We can use these values to find the third residual e₃.Since the sum of residuals is always equal to zero, we have:
e₁ + e₂ + e₃ = 0
Substituting the values of e₁ and e₂, we get
:-7 + 4 + e₃ = 0
Simplifying, we get:
e₃ = 3
Therefore, the third residual is 3, which is option D.