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

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                         

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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

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On this case n=17,        

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

And replacing we have:

The answer is b. 2,497 TL

The total expected expenses (E) is the sum of flight costs (x), lodging costs (y), and food allowance (z):
E = x + y + z
x = 928 TL
y = 755 TL
z = 814 TL

E = 928 TL  +  755 TL  +  814 TL = 2497 TL