Consider a four persons data: Height weight age 45 150 65 145 70 30 120 55 50 160 68 25 Find how similar a new person (155, 66,52) , using Mahalanobis Distance Note: inverse covariance matrix for the given data is as follows: -0.00776 0.002491 -0.00776 0.046868 | 0.010209 0.002491| 0.010209 | 0.012695 0.006407 A) 5.08 В) 4.58 C) 5.56 D) 3.45
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- Question 18 A researcher reported the following covariance matrix for her 3-item (7-option Likert item responses) test. Item1 Item2 Item3 Item4 Item1 3.84 2.63 1.89 2.14 Item2 2.63 3.62 2.10 2.25 Item3 1.89 2.10 3.68 2.52 Item4 2.14 2.25 2.52 3.80 What is the value of coefficient alpha? Question 19 In which of the following test assumptions is coefficient alpha NOT equal to reliability?The following data show a list of 30 observations and an estimated probability of Class 1 membership produced by the classification algorithn. a) Create confusion matrices for cutoff values of 0.75, 0.5, and 0.25. b) Find the the followings for each cutoff values: Class 1 error rate, Class 0 error rate, and overall error rate Sensitivity = ? Specificity = ? Precision = ? F1 Score = ? c) What do you observe? Explain. Actual Class Probability of Class 1 1 1 1 1 1 1 0 0.9 0 0.87 1 0.86 1 0.85 0 0.84 1 0.84 1 0.83 1 0.82 0 0.81 0 0.8 0 0.8 0 0.78 0 0.77 0 0.74 1 0.69 1 0.68 1 0.65 0 0.64 0 0.6 0 0.55 0 0.5 0 0.4 1 0.38 0 0.35 0 0.24 0 0.22 1 0.1You are asked to evaluate 'Introduction to the Matrix' from the statistical data of thefollowing 7 'Introduction to the Matrix' course grade distributions: Class A Class B Class C Class D Class E Class F Class GMean 71.8 75.2 73.8 82.2 79.6 78.0 73.7Median 79.3 78.5 80.1 83.4 81.4 77.6 75.9Mode 80.1 78.5 80.5 83.0 81.0 78.0 70.0Std Dev 18.6 15.9 15.5 5.1 11.4 7.0 15.1Students 24 23 14 17 29 18 13 (a) With 95% Statistical Confidence would you conclude that all Seven (7) CourseResults are consistent with the Same Student Population (Do these results comefrom the same population)? (b) Provide your conclusion (a) in up to 100 words.
- You are asked to evaluate 'Introduction to the Matrix' from the statistical data of thefollowing seven (7) 'Introduction to the Matrix' course grade distributions: Class A Class B Class C Class D Class E Class F Class G Mean 71.8 75.2 73.8 82.2 79.6 78.0 73.7 Median 79.3 78.5 80.1 83.4 81.4 77.6 75.9 Mode 80.1 78.5 80.5 83.0 81.0 78.0 70.0 Std Dev 18.6 15.9 15.5 5.1 11.4 7.0 15.1 Students 24 23 14 17 29 18 13 Provide statistical metrics and analysis presentation (tables, graphs,etc.) you would use for this.You are asked to evaluate 'Introduction to the Matrix' from the statistical data of thefollowing seven (7) 'Introduction to the Matrix' course grade distributions: Class A Class B Class C Class D Class E Class F Class G Mean 71.8 75.2 73.8 82.2 79.6 78.0 73.7 Median 79.3 78.5 80.1 83.4 81.4 77.6 75.9 Mode 80.1 78.5 80.5 83.0 81.0 78.0 70.0 Std Dev 18.6 15.9 15.5 5.1 11.4 7.0 15.1 Students 24 23 14 17 29 18 13 Which 3 'Introduction to the Matrix' classes would you most likely suspectto be possible outliers from these 7 classes?Need help with parts d and k. Data: TSERofReturn AcmeRofReturn 1 0.42478 -0.48194 2 1.61213 -0.73284 3 -0.98754 -2.28445 4 -0.30013 -1.55312 5 1.41215 0.68674 6 0.68725 -1.31132 7 0.03733 -0.83295 8 -1.72494 -1.71975 9 0.33729 1.14443 10 -1.07502 -1.79885 11 0.86222 0.89736 12 1.17468 1.66664 13 -0.38761 -0.02658 14 1.66212 0.9086 15 1.09969 1.99935 16 -0.06266 0.46148 17 -1.96241 -1.41004 18 -1.32499 -0.38086 19 -1.51247 -1.90904 20 0.74974 0.91873 21 -0.38761 -0.49714 22 -0.17514 -1.31385 23 -3.41222 -1.15681 24 -0.01266 2.11718 25 0.16231 1.78766 26 -0.82506 1.30344 27 -0.41261 -0.43377 28 0.2623 -1.70274 29 -1.16251 0.4692 30 -1.05003 0.27671 31 -0.65008 -0.63741 32 0.62475 2.9895 33 -0.68758 1.3613 34…
- A tea company appoints four salesmen A, B, C and D and observes their sales in three months, April, May and June: Months Salesmen A B C D April May June 36 28 26 36 29 28 21 31 29 35 32 29 2 For the two –way analysis of variance model with one observation per cell, we write the observation from the th j group and th i block as ij i j ijY µ β τ ε = + + + (a) Explain each term in the above model in the context of the given information. (b) Consider the observation on agent B and house 1 ( ) 21 28Y = i. Estimate µ ii. Estimate and interpret 2 βThe following shows the Excel spreadsheet for Education and Income . A B C 1 Individual i Education (x) Income (y) 2 1 3 45 3 2 4 56 4 3 6 85 5 4 2 35 6 5 5 57 7 6 4 48 8 7 8 100 9 8 0 38 10 11 =COVARIANCE.S(C2:C9,B2:B9) 12 =CORREL(C2:C9,B2:B9) Group of answer choices The formula in B11 is “=covariance.s(C2:C9,B2:B9)”. It gives the variance of Education and the variance of Income. The values are 51.4287 and 0.9137. The formula in B11 is “=covariance.s(C2:C9,B2:B9)”. It gives the correlation between Education and the variance of Income. The value is 0.9137 The formula in B12 is “=correl(C2:C9,B2:B9)”. It gives the covariance between Education and Income. The value is 51.4286. The formula in B12 is “=correl(C2:C9,B2:B9)”. It gives the correlation between Education and Income. The value is 0.9137.Q3. Use the following data set of 6 observations relating to 7 variables to construct a similarity matrix by: Matching Coefficient method. Jaccard’s Coefficient method. Observation A B C D E F G 1 1 1 0 0 1 0 0 2 1 1 1 1 0 0 1 3 1 0 1 0 0 0 0 4 0 1 0 0 1 1 0 5 0 0 0 1 1 1 1 6 0 0 0 1 0 1 0
- A study showed the following migration matrix, which describes the movement of the population of the United States during 1989. In 1989, about 16.3% of the total population lived in State A. What percentage of the total population would eventually live in State A if the listed migration probabilities were to remain constant over many years?The four brands of soap have the current market share of 0.23, 0.28, 0.25, and 0.24 for brands A, B, C, and D, respectively. Below are the transition probability matrix of the soap brands based on their annual performance and the number of customers using the brands.From/To A B C D Number of Customers A 0.2 0.3 0.1 0.4 2300 B 0 0.2 0.5 0.3 2800 C 0.3 0.5 0 0.2 2500 D 0.3 0.4 0.3 0 2400 a) What is the market share of Brand D in the long run? Answer in 2 decimal places.b) How many customers will shift preference in using Brand C soap in the long run?c) What is the mean return time of Brand 1? Answer in 2 decimal places.d) What is the percentage change of Brand B? Answer in 2 decimal places.Calculate 1) (AA)A’2) Find the trace of matrix ∑, what does the trace of a covariance matrix represent?