**Problem 1 (Use R, please show your R codes and output)**The dataset *prostate* (in R package "faraway") is from a study on 97 men with prostate cancer who were due to receive a radical prostatectomy.Fit a model with *lpsa* as the response variable (y) and *lcavol* as the predictor variable (x) and answer the following questions:- **a)** Construct the analysis of variance table (ANOVA) and test for significance of regression.- **b)** Calculate the coefficient of determination (R²) and interpret it.- **c)** Find a 95% confidence interval on the slope (β₁);- **d)** Find a 95% confidence interval on the mean *lpsa* when *lcavol* = 1.35;- **e)** Calculate a 95% prediction interval of *lpsa* when *lcavol* = 1.35.

The objective is to fit a model with lpsa as the response variable (y) and lcavol as the predictor…

Answered: Problem 1 (Use R, please show your R…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Hi, I'm stuck with question 2. Question 1 given the example for this question
The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of fifteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. The least-squares regression line for these data has equation y = 40.86-0.45x. This line is shown in the scatter plot below. Mileage, x (in thousands) 29.7 27.8 26.8 24.2 21.1 23.0 24.3 15.4 37.7 23.6 34.4 27.8 23.5 20.9 259 Used selling price, y (in thousands of dollars) 27.4 29.4 31.2 30.1 31.7 31.7 27.2 34.2 23.4 28.2 26.3 26.5 33.7 30.6 267 Used selling price (in thousands of dollars) 40- 35+ 30- 25- 20 THIS 15 X 20 X X X 30 Mileagex (in thousands) X 35 40
I need the answer to this question, please? An article included a summary of findings regarding the use of SAT I scores, SAT II scores, and high school grade point average (GPA) to predict first-year college GPA. The article states that "among these, SAT II scores are the best predictor, explaining 17 percent of the variance in first-year college grades. GPA was second at 15.5 percent, and SAT I was last at 13.5 percent." If the data from this study were used to fit a least squares line with y = first-year college GPA and x = high school GPA, what would the value of r2 have been? r2 =
Please answer the question contained in the following picture
"A large candy manufacturer produces, packages and sells packs of candy targeted to weigh 52 grams. A quality control manager working for the company was concerned that the variation in the actual weights of the targeted 52-gram packs was larger than acceptable. That is, he was concerned that some packs weighed significantly less than 52-grams and some weighed significantly more than 52 grams. In an attempt to estimate the variance of the weights of all of the 52-gram packs the manufacturer makes, he took a random sample of n = 20 packs off of the factory line. The random sample yielded a sample variance of 3.5 grams. Use 90% confidence level. What is the confidence interval for the variance of the weight of the candy?"
An article on the cost of housing in California that appeared in the San Luis Obispo Tribunet included the following statement: "In Northern California, people from the San Francisco Bay area pushed into the Central Valley, benefiting from home prices that dropped on average $4000 for every mile traveled east of the Bay area." If this statement is correct, what is the slope of the least-squares regression line, ý = a + bx, where y = house price (in dollars) and x = distance east of the Bay (in miles)? Your answer cannot be understood or graded. More Information
Use the following information to answer the question. A researcher wants to study different messaging platforms by collecting data on 40 individuals. Half of the individuals only use iMessage while the other half only use What's App. For the individuals who only used iMessage, they sent an average of 280 messages with a sample variance of 170 in the past week. For the individuals who only used What's App, they sent an average of 295 messages with a sample variance of 182 in the past week. Determine if there is a significant difference between the average messages sent between the two groups of individuals. Use a significance level of 1%. What is the null hypothesis? Group of answer choices A. The iMessage group on average sent more messages than the What's App group. B. The iMessage group on average sent less messages than the What's App group. C. There is no difference in the average number of messages sent between the two groups. D. There is a difference in the average…
QUESTION 2 A study is being carried out to see any differences in life satisfaction between young, middle- aged, and older men and women. A life satisfaction questionnaire is given to each participant in the research. A high degree of life satisfaction is indicated by a high score on the questionnaire. The results are listed in the table below. Adult Categories Gender Young Middle Older Men 7 10 Women 11 10 The MINITAB output for the above data is as follows. Analysis of Variance Source gender adult categories DF MS 6.000 8.667 C 0.225 4.334 0.187 6.000 A 4.000 27.333 Error B Total 5 Assume all the assumptions of ANOVA are met, answer the following questions. c) Using the given data, show that SST is 27.333
QUESTION 4 In general, an experienced quality control inspector of measurement of sheet metal stamping would have a variance of 0.18 (inch)². A new joint inspector measures 101 stampings with variance of 0.165 (inch)². Assume data is normally distributed, by using 95% significance level, test whether the new joint inspector is making satisfactory measurements. QUESTION 5 A marketing study was done on consumer from two age groups for their spending on 20 categories of consumer items. Based on 15 respondents in the 18 – 34 age group, the average spending is RM76.40 with a variance of RM25.30. Meanwhile, based on 18 respondents in the 35+ group, the mean and variance were RM71.20 and RM22.20 respectively. By assuming the population variance are not equal, test if there is any difference in the mean spending between these two populations in 95% significance level.
The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of sixteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. The least-squares regression line for these data has equation Ŷ=42.80-0.53x. This line is shown in the scatter plot below. (The 2nd picture contains the rest of the data as it would not fit in the first pic and it includes the question as well.)
Please use ANOVA
QUESTION 2 A study is being carried out to see any differences in life satisfaction between young, middle- aged, and older men and women. A life satisfaction questionnaire is given to each participant in the research. A high degree of life satisfaction is indicated by a high score on the questionnaire. The results are listed in the table below. Adult Categories Gender Young Middle Older Men 7 10 Women 7 11 10 The MINITAB output for the above data is as follows. Analysis of Variance Source DF ss MS F P 6.000 C 0.225 gender adult categories 1 6.000 2 A 8.667 4.334 0.187 Error 2 4.000 в Total 27.333 Assume all the assumptions of ANOVA are met, answer the following questions. a) Identify the experimental design that was applied by the researcher. Give one advantage of this design.

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS