Question

Eight pairs of data yield r = 0.708 and the regression equation = 55.8 2.79x. also, = 71.125. what is the best predicted value of y for x = 9.9?

Answer 1

The best predicted value of y for x = 9.9 is y = 83.42.

What is linear equation if two variables?

Linear equations with two variables are equations with one, zero, or infinitely numerous solutions where every of a two variables has the highest exponential order of 1.

Some key features regarding linear equation if two variables are-

• The two-variable linear equation has the conventional form ax + by + c = 0, where x and y are the variables.
• These solutions might also be expressed in pairs, such as (x, y).
• A graphical representation of a linear equation system in two variables involves two straight lines that can be intersecting, parallel, or coincident.

Now, according to the question;

The given equation is;

y = 55.8 + 2.79x

Calculate the value of y by substituting the value of  x = 9.9.

y = 55.8 + 2.79×9.9

y = 83.42

Therefore, the best predicted value of y for x = 9.9 is 83.42.

To know more about linear equation if two variables, here

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The correct question is-

Eight pairs of data yield r = 0.708 and the regression equation y = 55.8 + 2.79x. Also, the mean y-value is 71.125. What is the best predicted value of y for x = 9.9?