Mathematics, 28.11.2019 21:31 bellabasketball5412

The following data gave x = the water content of snow on april 1 and y = the yield from april to july (in inches) on the snake river watershed in wyoming for 1919 to 1935. (the data were taken from an article in research notes, vol. 61, 1950, pacific northwest forest range experiment station, oregon). x 23.1 32.8 31.8 32.0 30.4 24.0 39.5 24.2 52.5 37.9 30.5 25.1 12.4 35.1 31.5 21.1 27.6 y 10.5 16.7 18.2 17.0 16.3 10.5 23.1 12.4 24.9 22.8 14.1 12.9 8.8 17.4 14.9 10.5 16.1 (a) estimate the correlation between y and x. round your answer to 3 decimal places

Answers: 2

Show answers

Answers

Answer from: sarahsompayrac

r=0.933

Step-by-step explanation:

X = the water content of snow on April 1

Y = the yield from April to July (in inches) on the Snake River watershed in Wyoming for 1919 to 1935.

x: 23.1 32.8 31.8 32.0 30.4 24.0 39.5 24.2 52.5 37.9 30.5 25.1 12.4 35.1 31.5 21.1 27.6

y: 10.5 16.7 18.2 17.0 16.3 10.5 23.1 12.4 24.9 22.8 14.1 12.9 8.8 17.4 14.9 10.5 16.1

We can construct the following table

n $\sum x$ $\sum y$ $\sum x^2$ $\sum y^2$ $\sum xy$

______________________________________________

1 23.1 10.5 533.61 110.25 242.55

2 32.8 16.7 1075.84 278.89 547.76

3 31.8 18.2 1011.24 331.24 578.76

4 32.0 17.0 1024 289 544

5 30.4 16.3 924.16 265.69 495.52

6 24.0 10.5 600.25 110.25 252

7 39.5 23.1 1560.25 533.61 912.45

8 24.2 12.4 585.64 153.76 300.48

9 52.5 24.9 2756.25 620.01 1307.25

10 37.9 22.8 1436.41 519.84 864.12

11 30.5 14.1 930.25 198.81 430.05

12 25.1 12.9 630.01 166.41 323.79

13 12.4 8.8 153.76 77.44 109.12

14 35.1 17.4 1232.01 302.76 610.74

15 31.5 14.9 992.25 222.01 469.35

16 21.1 10.5 445.21 110.25 221.55

17 27.6 16.1 761.76 259.21 444.36

____________________________________________

On this case n=17, $\sum x = 511.5$ $\sum y=267.1$ $\sum x^2 =16628.65$ $\sum y^2 =4549.43$ $\sum xy =8653.45$

And we can use the following formula to calculate the correlation coefficient:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]}}$

And replacing we have:

$r=\frac{17(8653.45)-(511.5)(267.1)}{\sqrt{[17(16628.65)-(511.5)^2][17(4549.43)-(267.1)^2]}}=0.933$

Answer from: Quest

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

$(zy )^{2} +10^{2} = {(10 \sqrt{2}) }^{2}$

$(zy )^{2} +100= 200$

group similar terms to get,

$(zy )^{2}= 200 - 100$

this implies that,

$(zy )^{2}=100$

take positive square root of both sides to get,

$zy = \sqrt{100}$

this implies that,

$zy = 10$

What is the distance from point y to wx in the figure below

Answer from: Quest

step-by-step explanation:

divide 13.5 by 9 to get the scale factor. it equals 1.5

2 * 1.5 = 3

Can someone plz answer this for me? whoever answers it first, i will give !

Another question on Mathematics

Mathematics, 21.06.2019 18:40

Which statements regarding efg are true? check all that apply.

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

Worth 100 points need the answers asap first row -x^2 2x^2 (x/2)^2 x^2 x is less than 2 x is greater than 2 x is less than or equal to 2 x is greater than or equal to 2 second row -5 -5/2 4 5 •2 is less than x& x is less than 4 •2 is less than or equal to x & x is less than or equal to 4 •2 is less than or equal to x& x is less than 4 •2 is less than x& x is less than or equal to 4

Answers: 2

Answer

Mathematics, 22.06.2019 00:00

How can i differentiate this equation?

Answers: 1

Answer

Mathematics, 22.06.2019 02:40

Ineed the answers for this one as well!

Answers: 1

Answer

You know the right answer?

The following data gave x = the water content of snow on april 1 and y = the yield from april to jul...