b d a C e

The correlation coefficient between factor score and the variables included in the study is known as: a. Component Matrix b. Rotated Component Matrix c. Communalities

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

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Encode K5 as vertex/edge lists, as vertex/adjacency lists, and as an adjacency matrix. Do the same with P5. How do the different storage methods compare for these two graphs? Does this suggest any general guidelines to you? Discrete Mathematics Terms: K5: A Complete graph with K vertices Complete graph: A graph that all possible edges has been drawn P5: A graph which is nothing but a path, has 5 vertices and length 4 A path: A walk with no repeat vertices A walk: List of vertices alternating with edges Length of a path: the number of edges it has

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Suppose that we have a data set of college students. This data set includes whether each student graduated with honors and whether the same student went to graduate schools to pursue a PhD degree. Assume that P({Graduate w/ honors} ∩ {Pursusing PhD}) = P({Graduate w/ honors}) x P({Pursuing PhD})   Pursu PhD Not Pursu PhD Total Grad w/ honors x1 x2 0.25 Grad w/o honors x3 x4 0.75 Total 0.20 0.80     What is (x1 + x4) - (x2 + x3) 0.20 0.25 0.30 0.35 What is P({Graduate w/ honors} | {Pursuing PhD})? 0.20 0.25 0.50 0.75

A survey was conducted in 1990 asking American high school students to name their favorite subject inschool. This survey found that, in 1990, the following proportions of students named each subject astheir favorite: 30% History, 25% Math, 20% English, 15% Biology, 10% Chemistry. A researcher in theyear 2020 conducts an identical survey, in order to see if students’ favorite subjects have shifted overthe 30 years that have passed since the 1990 study was done. The researcher gives the survey to n=60high school students, and gets the following observed frequencies and expected frequencies. FREQUENCY   History        Math      English     Biology     Chemistry    TOTAL      fo                    20          18            10                5               7              60      fe           (.30)(60) =  (.25)(60) =   (.20)(60) =  (.15)(60) =  (.10)(60) =                       18                15             12                9                6         60   What is the χ2critical that you…

Let A be the adjacency matrix of a complete graph K4.(a) Write down matrix A.(b) How many possible walks with length 2 are there from a (any) node to itself (e.g., from Node 2 to itself) (c) How many possible walks with length 3 are there from a (any) node to the other node (e.g., from Node 2 to Node 3 or Node 1 to Node 4)

Refer the following graph: Number of words recalled 9 5 4 ambient Memory Experiment 0 warm ab$WordType real nonsense Learning Environment (warm room vs cool room) a. Indicate whether there is a main effect of Word Type (real word or nonsense word). b. Indicate whether there is a main effect of Learning Environment (cool room or warm room). c. Indicate whether there is an A x B interaction effect.