If ssxy = −16.32 and ssx = 40.00 for a set of data points, then what is the value of the slope for the best-fitting linear equation? a. −0.41 b. −2.45 c. positive d. there is not enough information; you would also need to know the value of ssy.

The value of the slope for the best-fitting linear equation is -0.41

The given parameters are:

--- the correlation between y and x

--- the sum of squared deviations from the mean of X.

The slope (b) is calculated using the following formula

Substitute values for SSxy and SSx

Divide -16.32 by 40.00

Approximate

Hence, the value of the slope for the best-fitting linear equation is -0.41

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a. −0.41

Step-by-step explanation:

The slope for the best-fitting linear equation is given by :-

where , =sum of squared deviations from the mean of X.

= correlation between y and x in terms of the corrected sum of products.

As per given , we have

Then, the value of the slope for the best-fitting linear equation will be

Hence, the value of the slope for the best-fitting linear equation= -0.41

So the correct answer is a. −0.41 .

step-by-step explanation:

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cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x