Question

which equation of the least squares regression line most closely matches the data set? note: the variable x represents the years after 1972.

Answer 1

Answer: B. y^ = 15.3x - 25.4

Explanation:

Here, x represents the number of years after 1972,

Thus, the table of variables will be,

x 0 2 4 6 8

y -28 8 39 62 98

By the above table, We have,

Since, the linear regression equation is,

y = b + ax Where, By substituting the values,

We get, b = -25.4 and a = 15.3

Thus, the required linear regression equation is,

y = 15.3 x - 25.4

⇒ Option b is correct.