**17.36 Genetic Engineering for Cancer Treatment, Continued**This section explores another outcome in the cancer experiment described in Exercise 17.35. The measurement is taken through a test that detects the presence of cells that trigger an immune response in the body, potentially aiding in the fight against cancer. Below are the data for 11 subjects, detailing counts of active cells per 100,000 cells before and after the infusion of modified cells. The difference (after infusion minus before infusion) serves as the response variable.| | Subject 1 | Subject 2 | Subject 3 | Subject 4 | Subject 5 | Subject 6 | Subject 7 | Subject 8 | Subject 9 | Subject 10 | Subject 11 ||---------------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|------------|------------|| **Before** | 14 | 0 | 1 | 0 | 0 | 0 | 20 | 1 | 6 | 0 | 0 || **After** | 41 | 7 | 1 | 215 | 20 | 700 | 13 | 530 | 35 | 92 | 108 || **Difference**| 27 | 7 | 0 | 215 | 20 | 700 | -7 | 510 | 29 | 92 | 108 |**Questions:**(a) Examine the data. Is it reasonable to use t procedures?(b) If your conclusion in part (a) is "Yes," do the data give convincing evidence that the count of active cells is higher after treatment?

Given information: Subject Before After d 1 14 41 27 2 0 7 7 3 1 1 0 4 0 215 215 5 0 20…

Answered: 17.36 Genetic engineering for cancer…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Research was conducted on the amount of training for 5K and the time a contestant took to run the race. The researcher recorded the number of miles during training ( a 1 month period) and the time to complete the 5K. The results are below. Miles Trained 45 77 37 25 60 64 Time (Minutes) 32.9 28 36.2 27.5 19.5 18.3 a) Give the correlation coefficient. r = b) Give the equation of the regression line. Round the values to 4 deimal places.This is in the form y = ax + b, so the slope goes in the first box and the y-inercept in the 2nd box.y = x + c) Interpret the y-intercept (Explain it's meaning, do not just give its value.)d) Predict the time in the 5K if someone trained 37 miles.Use the rounded values entered for the slope and intercept of the regression line to compute the predicted y-value.y = e) Give the residual for 37 miles trained.This is the actual y value for the runner who trained for miles minus the predicted value.Residual=
Q1 An engineering student wants to study the impact of temperature and humidity on yield. The following data was recorded by the student. S.N Temperature Humidity Yield 1 40 57 112 2 45 54 118 3 50 54 128 4 55 60 121 60 66 126 65 59 136 7 70 61 144 8 75 58 142 80 59 149 10 85 56 165
Q2 Fifteen adults of males between age of 35 and 50 participated in a study to evaluate the effect of diet and exercise on blood cholesterol level. The total cholesterol was measure in each subject initially and then three month after participating in aerobic exercise program and switching to low fight diet. The data are shown in the table below: Before 256 240 258 295 251 205 238 247 225 294 238 229 After 229 231 227 234 218 218 230 243 221 240 219 211 a. Do the data support the claim that low fat diet and aerobic exercises are of value in producing a mean reduction in blood cholesterol level at 5 % level of significance? (show all steps of hypothesis testing) b. Construct a one sided confidence interval that can be used to answer the question in part a. Check the results obtained in part a using R-Studio. Write your conclusion based on the p-value obtained in R studio. C.
Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 15.8 17.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1,540.45; Σxy = 272 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = y = b = ŷ = + x (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. (c) Find the sample correlation coefficient r and the coefficient of determination r2. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is…
A psychologist would like to examine the effects of a new drug on the activity level of animals. Three samples of rats are selected with n=5 in each sample. One group gets no drug, one group gets s small dose, and the third group gets a large dose. The psychologist records the activity level for each animal. The data from this experiment are presented below. No drug Small dose Large dose 5, 3 , 1 , 1 , 5 5, 5, 9, 6, 5 10, 12, 9, 6, 8 =3, SS=16 =6, SS=12 =9, SS=20 Do these data indicate any significant differences among the three groups? Test with α=0.05. Compute the effect size and interpret the result.
Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 13.8 19.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1554.45; Σxy = 274b) Find the equation of the least-squares line. (Round your answers to two decimal places.) ŷ = + x (c) Find r. Find the coefficient of determination r2. (Round your answers to three decimal places.) r = r2 = d) Test the claim that the population correlation coefficient is positive at the 1% level of significance. (Round your test statistic to three decimal places.) t =
A random sample of 42 earthquakes that have occurred between January 2015 and September 2017 was selected and for each earthquake the magnitude of the earthquake and the number of people killed was recorded. The data appear in the scatterplot below. 400 350 300 250 200 150 100 50 0 3 -50 4 5 6 7 8 9 10 -100 -150 Magnitude of Earthquake 8 Consider the scatterplot above question 2. Use this scatterplot to describe completely the relationship between the magnitude of the earthquake and the number of people killed. Positive and linear Negative, moderate, linear O Negative, strong, linear Positive, moderate, linear Number of People Killed ---
Education Influences attitude and festyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n, = 37 U.S. cities. The sample mean for these cities showed that x, 25.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in a,- 32 U.S. attes. The sample mean for these aties showed that x, = 19.6% of the young adults had attended college. From previous studies, t is known that o, - 6.H% and o, 5.6%. Does this Information Indicate that the population mean percentage of young adults who attended college Is higher? Use a = D.05. (a) what is the level of signifcance? state the null and altemate hypotheses. O Hai H, = Hi H H, H O H, H,
Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 15.8 17.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1,540.45; Σxy = 272 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = y = b = ŷ = + x
2. A researcher had rats engage in a lever-press task for either a small, medium, or larger reward. The number of lever presses was the dependent variable. The data were as follows: Reward Size Small Medium Large 1 4 6 4 3 5 1 4 4 2 5 T = 13 SS = 2.75 T= 6 T= 20 SS = 9 SS = 2 EX2 = 165 a. Do the data indicate that reward size had a significant impact on lever-pressing? Use the hypothesis testing steps & p = .05. Compute any necessary post-hoc tests. b. Compute eta-squared to measure the effect size.
A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number of Facilities Average Distance (miles) 9 1.67 11 1.11 16 0.84 21 0.61 27 0.51 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. CELL 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1.8 Number Number Number Distance @ (b) Does a simple linear regression model appear to be appropriate? Explain. O Yes, the scatter diagram suggests that there is a linear relationship. O No, the scatter diagram suggests that there is no relationship. O No, the scatter diagram suggests that there is a curvilinear relationship. (c) Develop an estimated regression equation for the data of the form ý = b + b₁x + b₂x²: a second-order model with one predictor variable. (Round your numerical values to four decimal places.) ŷ =
A statistical program is recommended. A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number of Facilities Average Distance (miles) 9 1.66 11 1.12 16 0.83 21 0.63 27 0.50 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8T 35 1.8 1.8- 1.6 1.6- 1.6- 30 1.4 1.4 1.4 1.2 25- 1.2- 1.2- 1. 1. 1. 20 0.8 0.8 0.8 0.6 15 0.6 0.6 .. 0.4 0.4 0.4 104 A scatter diagram has 6 points. The horizontal axis ranges from O to 1.8 and is labeled: Distance. The vertical axis ranges from 5 to 35 and is labeled: Number. Moying, from, left to right, the leftmost point is at'approximately (0.48, 36), with the next five points extending downward. The points d @O and then level off. 0.2 0.2 0.2 0. 0. 0. 5 10 15 20 25 30 35 10 15 20 25 30 35 10 15 20 25 30 35 Number ecrease steeply…

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