A score S is used to predict whether a disease is present. If the score is greater than a thresholdvalue, the corresponding person is classified as ill, otherwise as healthy. Here, the scores S; for 9persons are given. Furthermore, it is known whether the persons are actually ill (Y, = 1) or not(Yi = 0). The data look as follows:S; | Y;0.3 01.210.70.810.10.411.1 00.2 01.41(a) Draw by hand the ROC curve for the given data. Explain your procedure and the calcu-lation methods.(b) Calculate the area under the curve (AUC) by hand. Does this value indicate a good orbad classification?(c) Calculate the partial area under the curve (PAUC) if the specificity is to be at least 0.65.How do you judge this value?

Given information: The data represents the values of the variables Si and Yi.

Answered: A score S is used to predict whether a…

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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During one shift, the express lane clerk recorded how many times customers violated the "10 items or less" rule for his lane. In particular, he recorded how many items over the limit each violator placed on the conveyor belt. This data is summarized in the histogram below. NOTE: The last class actually represents "7 or more items," not just 7 items. Frequency 12+ 298 ans = 10- a 2 0.5 1.5 2.5 3.5 4.5 5.5 6.5 7.5 # items over 10 What is the frequency of times the limit was exceeded by at least 3 items?
For nos. 6 to 8. On a survey conducted at a university, students were asked how they felt about their weight (about right, overweight, or underweight) and also were asked to record their grade point average (GPA). There were 234 responses, with 160 saying their weight was about right, 50 said they were overweight, and 17 underweight. The question of interest is whether mean GPA is the same or different for different weight attitude populations. Output for the study is given below. 6. If μ1, μ2 and μ3 are the population means of GPA for about the right, overweight and underweight groups, respectively, then the alternative hypotheses tested by this analysis is:A. μ1, μ2 and μ3 are all differentB. At least two of μ1, μ2 and μ3 are different from each otherC. μ1= μ2≠μ3D. μ1> μ2>μ37. The F computed value in this study is:A. 0.201B. 0.214C. 1.067D. 4.968. What is the appropriate conclusion to draw from this analysis?A. If a student is underweight, he (she) should gain weight in order…
Suppose an oceanographer monitors the daily salinity of a particular ocean in relation to the temperature of the water. The oceanographer plots the data with temperature, in degrees Celsius (°C), along the horizontal axis and salinity, in parts per thousand (ppt), along the vertical axis. Select the true statement about the data point identified by the arrow. An ocean temperature of 21 °C causes the salinity to be 29 ppt. The predicted salinity is 29 ppt when the ocean temperature for the day is 21 °C. An ocean temperature of 29 °C corresponds to a salinity level of 21 ppt. The observed salinity is 29 ppt when the ocean temperature for the day is 21 °C. There is no relationship between the temperature of the ocean on a given day and salinity.
Please answer all sub-parts A doctor wanted to determine whether there is a relation between a male’s age and his HDL (so-called good cholesterol). He randomly selected 9 of his patients and determined their HDL cholesterol. The data is reported in the table below: Age (Yrs) HDL (?μmol/L) 38 57 42 54 46 34 32 56 55 35 52 40 61 42 61 38 26 47 a) Compute the regression equation for HDL as a function of age. b)Interpret the meaning of the regression parameters. c) Compute r and r2. Interpret these statistics. d) What is your opinion of the usefulness of using age as a predictor of HDL?
The following frequency histogram represents the IQ scores of a random sample of seventh-grade students. IQs are measured to the nearest whole number. The frequency of each class is labeled above each rectangle. Use the histogram to answers parts (a) through (g). 1 OA. 150-160 B. 155 OC. 60-69 OD. 150-159 M (f) What percent of students had an IQ of at least 120? % (Type an integer or a decimal. Do not round.) (g) Did any students have an IQ of 164? OA. Yes, because there is a frequency of a score of 165. OB. Yes, because there is a bar in the 150-159 class. C. No, because there is a bar in the 150-159 class. OD. No, because there are no bars, or frequencies, greater than an IQ of 160. Frequency 80- 60- 40- 20- IQs of 7th Grade Students 12 44 57 43 29 7 2 3 2 + 60 70 80 90 100 110 120 130 140 150 160
researchers calculated for their study that the mean difference () = 5.65 and the SE of the Mean Difference () = 2.58, the t value is _____
Which of the following could most be considered an ordinal variable? a. Height (ft) b. Weight (kg) c. Body mass index (kg/m2) d. Education level e. Annual Income ($)
ILLUSTRATION 22. Two brands of tyres are tested with the following results: life(in 1000 miles) Brand of tyres X Y 20-25 1 0 25-30 22 24 30-35 64 76 35-40 10 0 40-45 3 0 Question 1. Which brand of tyres between x and y have greater average life? Question 2. Compare the variability and the state of which the brand of tyres would use on your trucks?
A recent Nielsen analysis found that the typical U.S. smartphone user is spending an average of 220 minutes per day using apps. We speculate that the average time spent using apps for Generation X smartphone users (aged 41-56 years) is less than the national average. The hypotheses are Ho: H = 220 minutes versus Ha: µ < 220 minutes. Summary results from R are provided. Summary Statistics Std. Dev (s) Mean Sample Size (n) 205 minutes 63.25 minutes 31
A population of N = 20 scores has a mean of = 10. One score in the population is changed from X = 25 to X = 5. What is the value of the new population mean?
Consider the following data set *; | -1|2|3 Yi | 3 |2|1 and the model y = a, + a1¤ Calculate the squared error (SE) for the choice a, = 8 and a1 = -1 Answer:
From the data given below, calculate Karl Pearson's and Bowley's coefficients of skewness. Mean = 150, Median = 142, Q, = 62, Q3 = 195, D, = 30, D, = 230, S.D. = 30

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