Using a calculator, inserting the values of x and y, the correlation coefficient for the given data-set is of -0.9422.
<h3>How to find the correlation coefficient of a data-set?</h3>
Using a calculator, the correlation coefficient is found inserting the ordered pairs (x,y) in the calculator.
In this problem, we have that:
- The values of x are: 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5.
- The values of y are: 112.5, 110.875, 106.8, 100.275, 91.3, 79.875, 70.083, 59.83, 30.65, 0.
Hence, using a calculator, the correlation coefficient is of -0.9422.
More can be learned about correlation coefficients at brainly.com/question/25815006
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Answer:
(a) 0.1414
(b) 0.1010
Step-by-step explanation:
(a)
The density curve is rectangular in shape.
This implies that the distribution of donations is Uniform.
(b)
Compute the probability of donations at least 85 cents as follows:

![=\frac{1}{99}\times [x]^{99}_{85}\\\\=\frac{99-85}{99}\\\\=0.1414\\\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B99%7D%5Ctimes%20%5Bx%5D%5E%7B99%7D_%7B85%7D%5C%5C%5C%5C%3D%5Cfrac%7B99-85%7D%7B99%7D%5C%5C%5C%5C%3D0.1414%5C%5C%5C%5C)
Thus, the proportion of donations that are at least 85 cents is 0.1414.
(b)
Compute the probability of donations between 30 and 40 cents as follows:

![=\frac{1}{99}\times [x]^{40}_{30}\\\\=\frac{40-30}{99}\\\\=0.1010](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B99%7D%5Ctimes%20%5Bx%5D%5E%7B40%7D_%7B30%7D%5C%5C%5C%5C%3D%5Cfrac%7B40-30%7D%7B99%7D%5C%5C%5C%5C%3D0.1010)
Thus, the probability of donations between 30 and 40 cents is 0.1010.
Answer:
-3.81176345205
Step-by-step explanation:
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Answer:
On the screenshot below, each little line represents 0.1. It's not labeled 2.7 and 2.8, but if you count the tick marks by 0.1, it shows that exact approximation.
I hope this helps!