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castortr0y [4]
3 years ago
15

Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determinatio

n is:
Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer:

<h2>0.7</h2>

Step-by-step explanation:

The coefficient of determination which is also known as the R² value is expressed as shown;

R^{2} = \frac{sum\ of \ squares \ of \  regression}{sum\ of \ squares \ of total}

Sum of square of total (SST)= sum of square of error (SSE )+ sum of square of regression (SSR)

Given SSE = 60 and SSR = 140

SST = 60 + 140

SST = 200

Since R² = SSR/SST

R² = 140/200

R² = 0.7

Hence, the coefficient of determination is 0.7. Note that the coefficient of determination always lies between 0 and 1.

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Step-by-step explanation:

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1 year ago
A rock is released from rest and freely falls 70 m to the ground. What is its velocity just before impact? A. 1.2 m/s B. 7.0 m/s
Yuri [45]

Answer:

37.04 m/s

Step-by-step explanation:

we can use the equation x = x0 + v0t + 1/2at^2

a = -9.8 m/s^2, the acceleration due to gravity

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v0 = 0 m/s

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this will allow us to solve for time

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5 0
3 years ago
Directions: for questions 1 through 4, find the diagonal length of each solid figure.
Alex787 [66]
\text{The length of the diagonal is }11.2\text{ mm}

Here, we want to find the diagonal of the given solid

To do this, we need the appropriate triangle

Firstly, we need the diagonal of the base

To get this, we use Pythagoras' theorem for the base

The other measures are 6 mm and 8 mm

According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides

Let us have the diagonal as l

Mathematically;

\begin{gathered} l^2=6^2+8^2 \\ l^2\text{ = 36 + 64} \\ l^2\text{ =100} \\ l\text{ = }\sqrt[]{100} \\ l\text{ = 10 mm} \end{gathered}

Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above

Thus, we calculate this using the Pytthagoras' theorem as follows;

\begin{gathered} d^2=5^2+10^2 \\ d^2\text{ = 25 + 100} \\ d^2\text{ = 125} \\ d\text{ = }\sqrt[]{125} \\ d\text{ = }11.2\text{ mm} \end{gathered}

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11 months ago
What's sss, sas, asa, aas, and hi. when it comes to solving triangles?<br>​
tekilochka [14]

Answer:

SSS = side side side

SAS = side angle side

ASA = angle side angle

AAS = angle angle side

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2 years ago
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