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VladimirAG [237]
2 years ago
4

Suppose we t a regression line to predict the shelf life of an apple based on its weight. For a particular apple, we predict the

shelf life to be 4.6 days. The apples residual is -0.6 days. Did we over or under estimate the shelf-life of the apple? Explain your reasoning.
Mathematics
1 answer:
Elanso [62]2 years ago
3 0

Answer:

Step-by-step explanation:

Given that we fit a regression line to predict the shelf life of an apple based on its weight.

When we fit regression line for a data set , we use least squares concept.

The line which is very nearly fitting the scatter plot is selected in such a ways that the sum of squares of deviations from this line are minimum.

Normally actual value for a particular x and as per line would be different

Residual = Actual y - predicted y as per regression line

Here prediction is 4.6 and residual is -0.6

A residual is negative if actual observed value is less than the predicted value

Hence here we predicted 4 as 4.6 days hence we overestimated the shelf life by 0.6 days

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Answer: \mu_x=18\text{ hours}

\sigma_x=4\text{ hours}

Step-by-step explanation:

We know that mean and standard deviation of sampling distribution is given by :-

\mu_x=\mu

\sigma_x=\dfrac{\sigma}{\sqrt{n}}

, where \mu = population mean

\sigma =Population standard deviation.

n= sample size .

In the given situation, we have

\mu=18\text{ hours}

\sigma=6\text{ hours}

n= 2

Then, the expected mean and the standard deviation of the sampling distribution will be :_

\mu_x=\mu=18\text{ hours}

\sigma_x=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{2}}=4.24264068712\approx4  [Rounded to the nearest whole number]

Hence, the the expected mean and the standard deviation of the sampling distribution :

\mu_x=18\text{ hours}

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Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ
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In each represent the common form of each argument using letters to stand for component sentences, and fill in the blanks so tha
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Answer:

a

           a \to b

         \neg b

         \neg a

b

If  <u>all prime numbers are odd,</u> then <u>2 is  odd</u>.

2 is not odd.

Therefore, it is not the case that all prime numbers are odd.

Step-by-step explanation:

Considering part A

 The  first sentence is  

If all computer programs contain errors, then this program contains an error.

   The second sentence is

This program does not contain an error.

     The third  sentence is

Therefore, it is not the case that all computer programs contain errors.

Now we will use  a and  b  as the letter to denote the component sentences and   \neg a  and \neg b when the component sentences is not the case

So  a =  If all computer programs contain errors

and  

     b =  this program contains an error.

Generally then is represented as \to

Hence the first sentence is denoted as  

         a \to b

The  second sentence is represented as

            \neg b

The  third sentence is represented as

           \neg a

So part a can be represented as

      a \to b

         \neg b

         \neg a

Considering part B

Here the objective is to fill in the blank spaces so that the logic of the sentence in part b is as that in part a

    Now comparing the second statement  a and  b

                "This program does not contain an error" = "2 is not odd" = \neg b

Hence      "this program contains an error." =  "2 is  odd" =  b

     Now comparing the third  statement  a and  b

Therefore, it is not the case that all computer programs contain errors.  

                                                =

     Therefore, it is not the case that all prime numbers are odd  

                                                =

                                                \neg a

Hence

If all computer programs contain errors, = if all prime numbers are odd.= a                

             

             

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Within 1% , 0.00333 % of the job is complete.

Step-by-step explanation:

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Learn More

Percentage : brainly.com/question/1034126

Keyword : job, percent

#LearnwithBrainly

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