In a study a group of 50 adults were asked how comfortable they felt around 5 types of animals:dogs, cats, cows, horses and sheep. For each type of animal, each respondent gave a numberbetween 0 and 100 to indicate their comfort level (0 being 'hate being around' to 100 being 'lovebeing around').The data are given in Table 10, along with the loadings of the first two principal components.Variable(b)(c)X₁X₂X3X4X5Animal MeanDogs74.5Cats76.2Cows45.2Horses51.2Sheep 48.3Table 10StandardDeviation Component 1Loadings8.17.57.18.66.90.724-0.6840.080-0.040-0.017Component 20.3870.4250.4640.4490.503(a)The data were not standardized prior to being analyzed using principal components. Give 2reasons why the decision not to standardize is reasonable for these data.Interpret each of the 2 components. Justify your answer.Suppose a decision was taken to standardize the data after all. Calculate the values of thestandardized variables for a person whose comfort level are as follows: Dogs, 84; Cats, 68;Cows, 46; Horses, 55; Sheep, 58.

In the given study, there are 5 animals. Dogs Cats Cows Horses Sheep Variable Animal Mean…

Answered: In a study a group of 50 adults were…

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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A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance without blocking to test whether there is evidence of a significant difference in mean sales of different package designs. Use alpha=0.01. What is the conclusion for the null hypothesis that all treatment means are equal? O Do not reject HO. There is sufficient evidence to conclude that the average sales for all stores are not…
A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance with blocking (analyze this data as a complete block design) to test further whether there is evidence of a significant difference in mean sales of different package designs. Use alpha=0.01. What are the sums of squares for Blocks? Provide your answer to the nearest 2 decimal places.
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A survey of employees at a large financial organisation was conducted to determine the overall sentiment towards various aspects of how the company operates. 30 randomly selected departments in the organisation participated in the study. Every employee in these 30 randomly selected departments filled in a questionnaire, and the data were aggregated to calculate the following two variables of interest: Rating The percentage of favourable responses (in each department) to the overall running of the company. ComplaintsThe percentage of favourable responses (in each department) to how the company handles employee complaints Source: Chatterjee, S. and Price, B. (1977) Regression Analysis by Example. New York: Wiley. (Section 3.7, p.68ff of 2nd ed. (1991).) A simple linear regression was conducted. A scatter plot of Rating versus Complaints is shown in Figure 1 and the results of the regression analysis are shown in Table 1. Rating 80 70 60 50 40 40 Model 1 Figure 1: Rating versus…
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fill blanks underlines.
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