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kifflom [539]
3 years ago
5

If a data set has ssr = 400 and sse = 100, then the coefficient of determination is

Mathematics
2 answers:
BARSIC [14]3 years ago
3 0
To solve this problem you must apply the proccedure shown below:

 1. You have that the <span>data set has SSR=400 and SSE=100

 2. Therefore you have </span><span>the coefficient of determination is:

 r</span>²=SSR/SSTO

 SSTO=SSR+SSE

 3. Then, when you substitute the values, you obtain:

 SSTO=400+100
 SSTO=500

 r²=400/500

 4. So, you have that the result is:

 r²=0.8

 Therefore, as you can see,  the answer for the exercise shown above is: <span> the coefficient of determination is 0.8</span>
 
Kipish [7]3 years ago
3 0

To solve this problem you must apply the proccedure shown below:


 1. You have that the data set has SSR=400 and SSE=100


 2. Therefore you have the coefficient of determination is:


 r²=SSR/SSTO


 SSTO=SSR+SSE


 3. Then, when you substitute the values, you obtain:


 SSTO=400+100

 SSTO=500


 r²=400/500


 4. So, you have that the result is:


 r²=0.8


 Therefore, as you can see,  the answer for the exercise shown above is:  the coefficient of determination is 0.8

 


Read more on Brainly.com - brainly.com/question/9981340#readmore

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Answer if u love cats &amp; dogs
eimsori [14]

Answer:

<em>(7, 5.25)</em> lies on the graph.

Step-by-step explanation:

We are given the following values

x = 4,   6,  8, 12 and corresponding y values are:

y = 3, 4.5, 6, 9

Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.

Equation of a line passing through two points (x_1,y_1) and (x_2,y_2) is given as:

y=mx+c

where m is the slope.

(x,y) are the coordinates from where the line passes.

c is the y intercept.

Here,

x_{1} = 4\\x_{2} = 6\\y_{1} = 3\\y_{2} = 4.5

Formula for slope is:

m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \dfrac{4.5-3}{6-4}\\\Rightarrow m = \dfrac{1.5}{2}\\\Rightarrow m = \dfrac{3}{4}

Now, the equation of line becomes:

y=\dfrac{3}{4}x+c

Putting the point (4,3) in the above equation to find <em>c</em>:

3=\dfrac{3}{4}\times 4+c\\\Rightarrow 3=3+c\\\Rightarrow c =0

So, final equation of given function is:

y=\dfrac{3}{4}x

OR

4y=3x

As per the given options, the point <em>(7, 5.25) </em>satisfies the equation.

So correct answer is (7, 5.25).

6 0
3 years ago
What is the standard deviation of the data set? Round to the nearest tenth if needed. 2, 4, 7, 8, 9
barxatty [35]

Hiiiiiiii, okay here's the full- explanation for you, so here's the final answer. The explanation of how i got the answer is also below! Hope this helped you!!

Answer:

2.9

Step-by-step explanation:

First the mean or average = sum / data points (or N) = (2 + 4 + 7 + 8 + 9) / 5 = 6  

Now we take each of the individual values subtract the mean, and then square them, and add it all up.  

(2 - 6)^2 + (4 - 6)^2 + (7 - 6)^2 + (8 - 6)^2 + (9 - 6)^2 = 34  

Then we divide this by degrees of freedom = N - 1 to find the sample standard deviation. Note that this is different from the population standard deviation, where we would just divide N, but we use this because our data set is small, like less than 30 points.  

34 / (N - 1) -----> = 34 / (5 - 1) = 8.5  

Now, this is the variance, so we take the square root of the variance to get the sample standard deviation:  

√(8.5) = 2.9 (rounded to 1 decimal place)  

Note that scientific calculators, even my $20 version can do these kind of statistics calculations. Just enter the data set as a table of values in statistics mode, and press a few buttons, you're done!

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Plz subscribe to my channel Mr.PorkXchop 101
Tomtit [17]
No thanks buddy bye
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3 years ago
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