Determine (a) the score function s, (b) the Fisher information I. 1
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![(1) Recall that the probability mass function f for Poisson random variable X is given by
be a
9
ƒ (k) = P [X = k] = e-for k = 0, 1, 2, ..., where A is the parameter. Let x₁, ... XJ
sequence of J independent samples of X. Denote the log likelihood function by l, namely,
J
l(X|x₁,...,xj)
Determine
(a) the score function s,
(b) the Fisher information I.
=
j=1
In P [X = x₂] .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9ff5cc5-ffa0-4d62-80cc-4b5d73842eb0%2F2eab7f5f-cbf2-4143-a93e-a940edac7fa3%2F2280f0r_processed.jpeg&w=3840&q=75)
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- J. 1. Find out co-efficient or correlation from the following: x= 40 50 55 45 50 -60 65 65 70 80. y= 10 12 13 11 12 15 18 18 21 30.Below is my script for some problems I am doing in RStudio. How do I code to get the statistical data that shows how the male tv hours differ to the female tv hours? Chapter 2 R Lab.R X StudentSurvey.(1) x Source on SaveE T # 3- Ine Exercise nours are skewea Tert 8 xtabs (~Year, Student Survey. (1)) 9 # 1- The highest concentration of students are Sophomores 10 table(Year)/length (Year) II # 2- The relative frequency for seniors was 0.1% (rounded) 11 Student Survey. (1) STV 12 12 TV 13 14 23 15 16 29 18 19 20 21 22 23 21 24:1 hist (TV) →→Run boxplot (TV) # 6- Based on the box plot there is not a smallest outlier, but there are large outliers # The outliers for hours spent watching TV are any values above 20 hours Survey - Student Survey. (1) #Renaming xtabs (~Sex, Survey) install.packages ("lattice") library("lattice") bwplot (TV Sex, Survey) # 7- Men on average watch more TV # 8- Men have more variability in hours watching TV (Top Level) + Source R Script =Remaining Time: 1 hour, 28 minutes, 34 seconds. Question Completion Status: 20 30 50 90 100 10 120 130 140 150 6 170 180 190 20 21 A Click Submit to complete this assessment. Question 21 Save and Submit Question 21 of 21 5 points Save Answer Provide an appropriate response. The data below are the final exam scores of 10 randomly selected chemistry students and the number of hours they slept the night before the exam. What is the best predicted value for y given x=3? Hours, x 3 Scores, y 65 5 2 8 2 4 4 5 6 3 80 60 88 66 78 85 90 90 71 O72 O 70 O 71 O 69 جا A Click Submit to complete this assessment. 61°F Sunny RYZEN AND RADEON GRAPHICS 30 ATOMY ANSWE Esc ion AN LEMB tab AK F1 F2 F3 2 # 3 W E % Q Search 8 R Y Question 21 of 21 Save and Submit G H K C Par Hel
- in certain shopping mall, resturant charges are p 125,p150, p200,p165,p175,p190,p230,and p180 for a regular dinner compute the following a.q2For a data set of chest sizes (distance around chest in inches) and weights (pounds) of eight anesthetized bears that were measured, the linear correlation coefficient is r = 0.996. Use the table available below to find the critical values of r. Number of Pairs of Data n Critical Value of r 4 0.950 0.878 0.811 7 0.754 8. 0.707 9. 0.666 10 0.632 11 0.602 12 0.576 А. -0.707, +0.707 В. +0.707 С. +0.754 D. -0.707Braking Reaction Times: Histogram Listed below are sorted braking reaction times (in 1/10,000 sec) for male and female subjects (based on data from the RT-2S Brake Reaction Time Tester). Construct a histogram for the reaction times of males. Use a class width of 8 and use 28 as the lower limit of the first class. For the horizontal axis, use class midpoint values. Does it appear that the data are from a population with a normal distribution?
- A movie studio wishes to determine the relationship between the revenue from the streaming rental of comedies and the revenue generated from the theatrical release of such comedies. The studio has the following bivariate data from a sample of fifteen comedies released over the past five years. These data give the revenue x from theatrical release (in millions of dollars) and the revenue y from streaming rentals (in millions of dollars) for each of the fifteen movies. The data are displayed in the Figure 1 scatter plot. Also given is the product of the theater revenue and the rental revenue for each of the fifteen movies. (These products, written in the column labelled "xy", may aid in calculations.) Theater Rental revenue, y revenue, x xy (in millions of (in millions of dollars) dollars) 61.7 9.7 598.49 15.1 1.7 25.67 45.3 6.3 285.39 28.1 12.1 340.01 49.1 16.1 790.51 xx 12.9 10.2 131.58 28.1 2.4 67.44 66.0 9.7 640.2 20.6 5.8 119.48 7.5 2.8 21 25.8 6.9 178.02 Theater revenue 36.2 12.8…HW22: Please help me answer all sectionsX y 1 1 É Consider the following table of data. a. Calculate the least squares line and the correlation coefficient. b. Repeat part (a), but this time delete the last point. c. Draw a graph of the data, and use it to explain the dramatic difference between the answers to parts (a) and (b). a. The least squares line is Y= x +. (Use integers or decimals for any numbers in the equation. Round to four decimal places as needed.) 1 2 2 1 22 11 11
- Show necessary calculation/justification for each answer. a) In regression analysis, the residuals represent the:a. difference between the actual y values and their predicted values.b. difference between the actual x values and their predicted values.c. square root of the slope of the regression line.d. change in y per unit change in x. b) The least squares method for determining the best fit minimizes:a. total variation in the dependent variableb. sum of squares for errorc. sum of squares for regressiond. All of these choices are true. c) The regression line has been fitted to the data points (4, 8), (2, 5), and (1, 2).The sum of the squared residuals will be:a. 7b. 15c. 8d. 22Listed below are systolic blood pressure measurements ( in mm Hg ) from the same woman. Right arm 102 101 94 79 79 Left arm 175 169 182 146 144 a) Find the linear coefficient correlation r. What is the critical value in this case ?? ? b) Is there sufficient evidence to conclude that there is a linear correlation between right and left arm systolic blood pressure measurements? c) Find the equation of the regression line between right and left arm systolic. d) What proportion of left arm systolic can be explained by the right arm systolic ? e) Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 100 mm Hg.
