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Diano4ka-milaya [45]
3 years ago
11

Which equation of the least squares regression line most closely matches the data set?

Mathematics
2 answers:
OleMash [197]3 years ago
8 0

Answer:

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,

\sum x = 20

\sum y = 179

\sum x^2=120

\sum xy = 1328

Since, the linear regression equation is,

y = b + ax

Where,

b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}

a=\frac{(\sum y) (\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}

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.

Goshia [24]3 years ago
4 0
B. y^ = 15.3x - 25.4
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We're going to go ahead and eliminate one answer out of the four. It <u>cannot be B</u> (the second answer) <em>because the graph is made of dotted lines. </em>

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