2 years ago

If a data set produces SSR = 400 and SSE = 100, then the coefficient of determination is a. .10. b. .80. c. .25. d. .40.

Mathematics

1 answer:

SOVA2 [1]2 years ago

4 0

Answer: 0.8

Step-by-step explanation:

Given the following :

Sum of Square Error Error (SSE) = 100 which is the difference between the actual and predicted value.

Sum of Square due to regression (SSR) = 400

The Coefficient of determination (R^2) :

(Sum of Square Regression(SSR)) / Sum of Squared total (SST))

Sum of Squared total (SST) = SSE + SSR

Sum of Squared Total = (100 + 400) = 500

R^2 = 400 / 500

R^2 = 0.8

You might be interested in

A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet to the nearest whole unit what is

RideAnS [48]

Check the picture below.

$\bf \textit{total surface area of a cone}\\\\
SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~
\begin{cases}
r=radius\\
h=height\\
-------\\
r=17\\
\sqrt{r^2+h^2}=12
\end{cases}
\\\\\\
SA=\pi (17)(12)+\pi (17)^2\implies SA=204\pi +289\pi \implies SA=493\pi$