Question

Consider n pairs of numbers (x₁, y₁), (x₂, y₂) and (xn, yn). the mean and standard deviation of the x-values are x = 5 and sx = 4, respectively. the mean and standard deviation of the y-values are y=10 and sy = 10 nrespectively. of the following, which could be the least squares regression line.

Answer 1

No, the case with x = 2 and y = 6.2 does not qualify as an outlier.

Step-by-step explanation:

To determine whether the case with the values x = 2, y = 6.2 qualifies as an outlier, we can calculate the predicted value of y using the equation of the least squares regression line.

The equation of the line is y = 5 + 0.3x.

Substituting x = 2, we get y = 5 + 0.3(2) = 5.6. Comparing this predicted value of y (5.6) with the actual value of y (6.2), we can see that it is not significantly different.

Therefore, the case with x = 2, y = 6.2 does not qualify as an outlier.