For a data point measured as y = 3.5 for an x value of x = 1.2, the residual would be 0.1
For given question,
we have been given an equation 2x + 1 that represents an equation for a trendline to the data.
General formula with residual is y = 2x + 1 + r, where r is a residual.
We need to find the residual for a data point measured as y = 3.5 for an x value of x = 1.2
We substitute given values of x and y in the residual equation
y = 2x + 1 + r
For y = 3.5 and x = 1.2,
⇒ 3.5 = 2(1.2) + 1 + r
⇒ 3.5 = 2.4 + 1 + r
⇒ r = 3.5 - 3.4
⇒ r = 0.1
Therefore, for a data point measured as y = 3.5 for an x value of x = 1.2, the residual would be 0.1
Learn more about the residual here:
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Convenience sampling.
It's biased, they are only sampling people who are eating out at the time. It leaves out those not currently at the restaurant.
<h3>
Answer: 720</h3>
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Explanation:
The number 8 from "8 year old boy" can be completely ignored. In my opinion, this is an (un)intentional distraction on your teacher's part.
There are 6 toys to arrange. The order is important.
- For the first slot, there are 6 choices.
- Then the second slot has 5 choices (we cannot have a toy occupy more than one slot at a time).
- The third slot has 4 choices, and so on.
We have this countdown: 6,5,4,3,2,1
Those values multiply out to 6*5*4*3*2*1 = 720
There are 720 ways to arrange the 6 different toys. Order matters.
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An alternative approach is to use the nPr permutation formula with n = 6 and r = 6. We use a permutation because order matters.
The nPr formula is

where the exclamation marks indicate factorial. For example, 6! = 6*5*4*3*2*1 = 720.
Answer:
5
Step-by-step explanation: