6. In a study a number of plants received a dose of a new plant nutrition. A week later, each plant wasobserved. A flowering plant was recorded as 1 and a plant without flowers was recorded as 0. Theresults are given in the table below and is based on the rule;Predict 1 if th≥ 0.6; predict 0 if ft < 0.6True classificationY = 1Y = 0Y = 030232Per set ruleŶ = 11710Total4733In order to make valid predictions for new observations, the prediction error rates must bedetermined.6.1. Find the prediction error rate.6.2. Find the error rates for plants that flowered and those that have no flowers with thenutrition added. Interpret this finding.7. A visual tool to evaluate the model's predictive power is the ROC curve or the receiver operatingcharacteristic.7.1. Find the values for sensitivity and 1- specificity. Draw a rough sketch of the ROC.7.2. Assess the ROC plot in Question 1.9. Is the logistic model used for predicting the outcome offlowers due to nutrient addition is a model? That is, it the logistic regression a goodpredictor based on this rule. If not, what can be done?

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Answered: 6. In a study a number of plants…

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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In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 30 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 30-minute interval) one otter initiates social grooming of another. a) What is ?? b) Write out the formula for the probability distribution of the random variable r. P(r) = _________ c) Find the probability that one otter will initiate social grooming four or more times during the 30-minute observation period. (Round your answer to four decimal places.)
In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 30 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 30-minute interval) one otter initiates social grooming of another. a) Find the probabilities that in your 30 minutes of observation, one otter will initiate social grooming four times, five times, and six times. (Round your answers to four decimal places.) P(4) = P(5) = P(6) = b) Find the probability that one otter will initiate social grooming less than four times during the 30-minute observation period. (Round your answer…
A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?
Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?
A researcher predicts that scores in treatment A will be higher than scores in treatment B. If the mean for the n = 10 participants in treatment A is 4 points higher than the mean for the n = 10 participants in treatment B and the data produce t = 1.985, which decision should be made? a. reject H0 if α = .05 and if α = .01 b. fail to reject H0 if α = .05 and if α = .01 c. fail to reject H0 if α = .05 but reject H0 if α = .01 d. reject H0 if α = .05 but fail to reject H0 if α = .01
Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 150 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should a change be made?
The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 10% of the customers buy specialty clothes for their pets and thinks that she might be able to replace the clothes with more interesting and profitable items on the shelves. Before making a final decision she decides to keep track of the total number of customers for a day, and whether they purchase specialty clothes for their pet. a) Assuming the pet store owner is correct in thinking that only 10% of her customers purchase specialty clothes for their pets, how many customers should she expect before someone buys a garment for their pet? b) What is the probability that she does not sell a garment until the 5th customer? c) What is the probability that exactly 4 of the first 10 customers buy specialty clothes for their pet? d) What is the probability that at least 3 of the first 35 customers buy specialty clothes for their pet?…
A medical researcher says that less than 74%of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600adults in that country, 71% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 andHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) Fill the percentage on the correct answer A. % of adults in the country think that healthy children should be required to be vaccinated. B. Less than %of adults in the country think that healthy children should be required to be vaccinated. C. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. D. More than…
Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…
7.4.1 A medical researcher says that less than 83% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 80% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) B. Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. z0= (Round to two decimal places as needed. Use a comma to separate answers as needed.) (c) Find the standardized test statistic z. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis…
Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 63% were stolen by professionals (P), whereas 37% were stolen by amateurs (primarily for joy rides) (A). Of the vehicles presumed stolen by professionals, 25% were recovered within 48 hours (R<48), 23% were recovered after 48 hours (R>48), and 52% were never recovered (N). Of the vehicles presumed stolen by amateurs, 33% were recovered within 48 hours, 63% were recovered after 48 hours, and 4% were never recovered. (b) What is the probability that a vehicle stolen by a professional in this city will be recovered within 48 hours?(c) What is the probability that a vehicle stolen in this city will never be recovered? (Round your answer to four decimal places.)
Assuming Get Food Now achieved 12,000 interactions, how many of these would have resulted in customer being less than satisfied with their first interaction?

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