Which equation of the least squares regression line most closely matches the data set? note: the variable x represents the years after 1972. x y 1972 -28 1974 8 1976 39 1978 62 1980 98 a. y = 0.06x - 28 b. y = 15.3x - 25.4 c. y = 15.3x + 25.4 d. y = 1.03x - 56

b. y = 15.3 x - 25.4

Step-by-step 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.

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