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frez [133]
2 years ago
12

In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (b

ushels per acre). Calculate the linear correlation coefficient. Round to three decimal places.
Rainfall (in inches), x 11.7 10 14.6 13.7 20 11.5 8.2 16.8 17.2
Yield (bushels per acre), y 54.5 50.2 62.8 63 86.4 53.2 35.9 80 82.8
Options:
A. 0.998
B. 0.900
C. 0.899
D. 0.981

Mathematics
1 answer:
vovikov84 [41]2 years ago
7 0

Answer: D. 0.981

Step-by-step explanation:

Step 1: For the given data table on x^2

We square all values given to us

Step 2: we repeat Same for Y^2 table too.

Step 3: XY table we multiply x and y

Step 4: we make a summation of them all

Step 5: we input our summer value into our formula.

Step 6 : we arrive at our answer which is 0.981

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2 years ago
Can I please have help with question 2) a and b
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Answer:

\frac{10\sqrt{6} }{3} and \frac{11\sqrt{3} }{3}

Step-by-step explanation:

(a)

A = \frac{1}{2} × 4\sqrt{2} × \frac{5}{\sqrt{3} }

   = 2\sqrt{2} × \frac{5}{\sqrt{3} }

   = \frac{10\sqrt{2} }{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } ← rationalise the denominator

= \frac{10\sqrt{6} }{3} units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4\sqrt{2} )² + (\frac{5}{\sqrt{3} } )²

    = 32 + \frac{25}{3}

    = \frac{96}{3} + \frac{25}{3}

    = \frac{121}{3} ( take the square root of both sides )

h = \sqrt{\frac{121}{3} } = \frac{11}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } ← rationalise the denominator

h = \frac{11\sqrt{3} }{3}

 

7 0
3 years ago
Write a mix number that is greater than 3 but less than 4
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Lets find that number:
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that can easily be thought as 3.5
<span>3 < 3.5 < 4
</span>now lets change the decimal to a mix number:
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8 0
3 years ago
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Answer:

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Step-by-step explanation:

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y ≥ 28 is your answer.

~

4 0
3 years ago
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