Question 17 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 the total test score variance?
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- If a researcher randomly assigns participants to one of two conditions, that researcher is likely to use a(n): a. correlational design b. quasi-experimental design c. experimental design d. descriptive designThe following matrix shows the bivariate correlations for houses with garages. Baths Beds Sqft Age Price Baths 1 Beds 0.591 1 Sqft 0.696 0.626 1 Age -0.427 -0.133 -0.069 1 Price 0.643 0.374 0.767 -0.099 1 Baths: # of bathrooms in the house Beds: # of bedrooms in the house Sqft: # of square feet in the house Age: age of the house in years Price: selling price of house Answer the following: a) Do older houses with garages sell for lower or higher prices than newer houses with garages on average? Are older houses with garages smaller or larger than newer houses with garages on average? b) Is the correlation between baths and age weaker or stronger than correlation between beds and price? c) Is the correlation between age and sqft weaker or stronger than the correlation between age and price?The following is the correlation matrix. SALES GENDER OWNHOME MARRIED INCOME CHILDREN CATALOGS SALES 1.0000 GENDER 0.1950 1.0000 OWNHOME 0.3480 0.0844 1.0000 MARRIED 0.4711 0.1161 0.2640 1.0000 INCOME 0.6845 0.2583 0.4494 0.6652 1.0000 CHILDREN -0.2248 -0.1055 -0.0323 0.0098 0.0479 1.0000 CATALOGS 0.4664 0.0874 0.0931 0.1371 0.1779 -0.1135 1.0000 The regression equation is: estimated SALES = 247.0745 + 78.6075*CATALOGS question: What is the slope coefficient for the regression equation?
- Three funds have the following annual expected returns (E[R]), variances and covariances: Fund E[R] Variance-Covariance Matrix US Equity African Bond UK Directional US Equity 0.06 0.04 0.015 0.008 African Bond 0.08 0.015 0.09 0.018 UK Directional 0.12 0.008 0.018 0.16 (i) Calculate the correlation coefficients between each pair of funds. (ii) Calculate the expected returns and standard deviations for the following portfolios.Consider that in a retrospective cohort study involving job type and heart disease among railroad workers, the following data was obtained. heart disease job type yes no clerk 50 500 track worker 22 390 calculate the association between the two variables - The first is the covariance, and the second is the correlation coefficient.You are given the following course metrics from the 1000 students thatcompleted 'Introduction to the Matrix' for the Fall 2021 semester thatresulted in a perfectly normal distribution: Mean Course Grade - 75.0Standard Deviation of Course Grades - 5.0 You are asked to evaluate the following Course Grades from an unidentifiedclass of students:# Grade # Grade # Grade # Grade # Grade1 75 6 60 11 55 16 90 21 952 55 7 70 12 80 17 65 22 603 60 8 75 13 85 18 80 23 904 75 9 65 14 70 19 75 24 755 60 10 90 15 95 20 80 25 95(a) Is this class 25 student class representative of an 'Introduction to theMatrix' class? Provide statistical analysis (Table, Graphs, metrics, etc.) and anexplanation of the rationale used for comparison between this classof 25 students and the 1000 'Introduction to the Matrix' students.
- 1.1 The alternative hypothesis is: H1: CVD and Enrollment Site are dependent. H1: The correlation between CVD and Site is zero. H1: CVD and Enrollment Site are independent. H1: The covariance between CVD and Enrollment Site is negative. H1: The covariance between CVD and Site is zero. H1: The covariance between CVD and Enrollment Site is positive. 1.2 Under independence, calculate the expected number of patients with a family history of CVD, at Hospital 2. 1.3 A necessary condition to perform the hypothesis test is: The observed frequencies must be at least 5. The expected frequencies must be at least 5. The expected frequencies must be at least 30. The cell χ2-values must be at least z0.975=1.96. The row and column totals must be at least 3030. The cell χ2-values must be at least z0.95=1.645. The observed frequencies must be at least 30. The sample size must be at least 30. 1.4 Since the critical value is - we have sufficient evidence - the null hypothesis at α=0.01 level of…Subject Extroversion Neuroticism 1 43 49 2 46 53 3 48 67 4 48 57 5 48 56 6 50 48 7 51 60 8 51 41 9 53 51 10 58 47 11 62 41 12 63 51 13 63 30 14 63 28 15 67 55 16 67 47 17 67 39 6. What is the lower bound of the population correlation coefficient (rho) calculated from the data in personalities.xls? -the answer is NOT 0.8021 that was given when I submitted this last time.