Question
In: Physics
To complete this exercise you need a software package that allows you to generate data from...
To complete this exercise you need a software package that allows you to generate data from the uniform and normal distributions.
(i) Start by generating 500 observations xi - the explanatory variable - from the uniform distribution with range [0,10]. (Most statistical packages have a command for the Uniform[0,1] distribution; just multiply those observations by 10.) What are the sample mean and sample standard deviation of the xi?
(ii) Randomly generate 500 errors, ui, from the Normal[0,36] distribution. (If you generate a Normal[0,1], as is commonly available, simply multiply the outcomes by six.) Is the sample average of the ui exactly zero? Why or why not? What is the sample standard deviation of the ui?
(iii) Now, generate the yi as
??=1+2??+??≡?0+?1??+??
that is, the population intercept is one and the population slope is two. Use the data to run the regression of yi on xi. What are your estimates of the intercept and slope? Are they equal to the population values in the above equation? Explain.
(iv) Repeat parts (i), (ii), and (iii) with a new sample of data, starting with generating the xi
??=0.5×??
Now what do you obtain for b0 and b1? Why are these different from what you obtained in part (iii)? Explain why in detail.
Solutions
genius_generous answered 2 years agoRelated Solutions
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```{r warning=FALSE, message=FALSE}
# install packages if necessary
if (!require(mosaic)) install.packages(`mosaic`)
if (!require(dplyr)) install.packages(`dplyr`)
if (!require(gapminder)) install.packages(`gapminder`)
# load the package in R
library(mosaic) # load the package mosaic to use its
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library(dplyr) # load the package dplyr to use its functions
library(gapminder) # load the package gapminder for question
1
```
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% M-File: ML0803
%
% Dipole antenna movie shows radiation
% pattern as dipole length grows from 0.1
% lambda to 2.1 lambda.
%
% Variables
% L dipole length (in wavelengths)
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//The code
package arraylists;
import java.util.ArrayList;
import java.util.Scanner;
/**
*
*
*/
public class SoftOpening {
public static void main(String[] args) {
Scanner input = new Scanner(System.in);
ArrayList foodList = generateMenu();
User user = generateUser(input);
user.introduce();
userBuyFood(foodList, user, input);
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public static ArrayList generateMenu(){
ArrayList foodList = new ArrayList<>();
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"Software and System Updates" Please respond to the
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Height vs Weight - Erroneous Data: You will need to use software to answer these questions....
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Below is the scatterplot and corresponding data for the height and
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index
height (x)
weight (y)
inches
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1
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2
72
200
3
65
130
4
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205
5
67
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69
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8
71
195
9
63
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10
62
140...
Height vs Weight - Erroneous Data: You will need to use software to answer these questions....
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Below is the scatterplot, regression line, and corresponding data
for the height and weight of 11 randomly selected adults. You
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index
height (x)
weight (y)
inches
pounds
1
60
120
2
72
200
3
65
130
4
71
205
5
69
180
6
68
180
7
69
193
8
69
195
9
63
115
10...
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● The password should contain at least one uppercase and at
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● The password should have at least one digit.
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password should contain at least one uppercase and at least one
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