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whats the rule (-2,-7) (0,-1) (7, 22)

Sagot :

The rule of the points is y = 3.2x - 0.7

How to determine the rule?

The points are given as:

(-2,-7) (0,-1) (7, 22)

The above points form an approximate linear equation.

So, we make use of a linear regression to determine the rule

When the above points are entered in a statistical calculator, we have the following summary:

  • Sum of X = 5
  • Sum of Y = 14
  • Mean X = 1.6667
  • Mean Y = 4.6667
  • Sum of squares (SSX) = 44.6667
  • Sum of products (SP) = 144.6667

The regression equation is then represented as:

y = bx + a

Where

b = SP/SSX = 144.67/44.67 = 3.23881

a = MY - bMX = 4.67 - (3.24*1.67) = -0.73134

This gives

y = 3.23881x - 0.73134

Approximate

y = 3.2x - 0.7

Hence, the rule of the points is y = 3.2x - 0.7

Read more about regression at:

https://brainly.com/question/17844286

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