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MAXImum [283]
3 years ago
9

What is the r^2 value of the following data to three decimal places???

Mathematics
1 answer:
GaryK [48]3 years ago
4 0

Answer:

0.783

Step-by-step explanation:

To find first r and then r square for the data

correlation coefficient of x and y = Cov (x,y)/std dev x * std dev Y

Cov (x,y) = E(xy) -E(x)E(y)

Hence calculations would be as follows:

x y xy

 

1 2 2

2 10 20

5 5 25

7 18 126

10 25 250

 

Mean 5 12 84.6

 

Cov E(xy)-E(x)E(y)  24.6

r 0.884640297

r^2 0.782588454

so answre is 0.783 after rounding off.

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Is 7.29 a rational number?​
ExtremeBDS [4]

Answer:

Yes

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction. In this case, the fraction is being expressed by a decimal. So therefore 7.29 is a rational number.

Hope This Helps :)

8 0
3 years ago
What are the zeros of the function?
cluponka [151]

The function is:

f ( x ) = x² - x - 72

This is a quatdratic function. So we can find the zeroes of the function with the formula:

x 1/2 = ( - b +/- √(b² - 4 ac) ) / ( 2a )

And we have: a = 1, b = - 1 and c = - 72

x 1/2 = ( 1 +/- √((-1)² - 4 · 1· ( - 72 )) ) / 2

x 1/2 = ( 1 +/- √( 1 + 288 ) ) / 2

x 1/2 = ( 1 +/- √289 ) / 2

x 1/2 = ( 1 +/- 17 ) / 2

x 1 = ( 1 - 17 ) 2 = - 16 / 2 = - 8

x 2 = ( 1 + 17 ) / 2 = 18 / 2 = 9

Answer: The zeroes are - 8 and 9.

7 0
3 years ago
OMG PLEASE HELP MEEEEEEEEEEEE!!!!!!!!!
Andreas93 [3]

Answer:

I think it is 123 for number 9 i can't see, the other problems

Step-by-step explanation:

7 0
2 years ago
During the first 15 weeks of the 2016 season of a certain professional football​ league, the home team won 141 of the 241 ​regul
rusak2 [61]

Answer:

The answer is 2.0190

Step-by-step explanation:

<em>From the given question,</em>

<em>We recall that,</em>

<em>p = 141/241 = 0.5850</em>

<em>so, p = 0.5</em>

<em>The Hypothesis is:</em>

<em>H₀ : P = 0.5, this means that  H0:50% of the games played will be won</em>

<em>vs</em>

<em>H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.</em>

<em>n=241,x=141</em>

<em>Then,</em>

<em>SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421</em>

<em>z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190</em>

<em>therefore, there is strong evidence that there is home field advantages in professional football.</em>

8 0
3 years ago
Curtis threw 18 darts at a dartboard. 48% of his darts hit the bull’s-eye. How many darts did not hit the bull’s-eye?
Pepsi [2]
Change 48% to 0.48
0.48 x 18 = 8.64
rounded would be 9
4 0
2 years ago
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