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- You conduct a regression of the squared residuals against the dummy variables X1, X2, and X3 and find that for the squared residuals regression: Multiple R 0.4145 R Square 0.1718 Adjusted R Square 0.1600 SEE 92.3760 Conduct a test at the level to see if conditional heteroskedasticity is present In view of your answer for a), what needs to be done?A test of hypothesis has the following details: H0: µ = 50 vs Ha: µ < 50, n = 64, σ = 8, α = 0.04, x¯ = 47, and σ is What is the critical value for this test? (Hint: You will need to use R to calculate the solution to this question). (a) CV = −1.750686 (b) CV = 1.554774 (c) CV = 1.750686 (d) CV = −1.554774If the value of Cronbach’s alpha is 0.07, it means ___________; a. Research instrument is not reliable b. Research instrument is internally consistent c. Data is reliable d. Data is internally consistent
- Solve for the BIAS, MAD, MAPE and MSE of the following data: Period Actual Sales 1 21 2 25 3 28 4 31 5 35 6 25 7 29 8 30 9 24 10 26 11 27 12 24 13 27 Solve for d) exponential smoothing alpha of 0.2 and the first forecast is the same with the actual salesSee the attached image for the introduction. In terms of variables xi and parameters βi, write the null and alternative hypotheses for testing whether, after including Price/Square Feet(x2) in the model already, the further incorporation of the other 2 explanatory variables (x1, x3) adds any useful information for explaining pricey. Also, give the value of the F statistic and its degrees of freedom (df).A Sociologist wishes to see whether the number of years of schooling a person has is dependent on the person’s location. The information is classified as follows: Location No education Four-year degree Advanced degree Total Metropolis 15 12 8 35 Suburban 8 15 9 32 Countryside 6 8 7 21 Total 29 35 24 88 At alpha 0.05, can the Sociologist conclude that a person’s location is dependent on the number of years of schooling? Find p-value and on the basis of the p-value, should the null hypothesis be rejected?
- a) Find Beta1_hat from the above information.b) Find Beta0_hat from the above information.c) Find the standard error of the residual from the above information.d) Find the R-squared of the mode e) Which of the following parameters are statistically significant?beta0_hatbeta1_hatAll of the aboveNone of the aboveA regression on the original regressors, ?̂t2 and a constant term yields the following statistics: R2 = 0.296041 F = 1.177507 coeff of ?̂t2 has a t-statistic of 2.876 With this information, which test can you implement to deal with the problem omitted variables and why? Implement the test as stated in b(i) and interpret the results. What is (are) the consequence(s) of the problem alluded to above on the estimators?Suppose that we want to compare the cleansing action of three detergents on the basis of the following whiteness readings made on 15 swatches of white cotton cloth, first soiled with motor oil and then washed in an agitator-type washing machine: If the tabular values of F are 3.89 and 6.93 at 5% and 1% level of significance, what is the appropriate decision? (note: CRD). (show your solution) choices of correct answer: a. No significant difference b. Significant at 5% c. Highly significant at 1% d. Not significant at 1%
- In a typical multiple linear regression model where x1 and x2 are non-random regressors, the expected value of the response variable y given x1 and x2 is denoted by E(y | 2,, X2). Build a multiple linear regression model for E (y | *,, *2) such that the value of E(y | x1, X2) may change as the value of x2 changes but the change in the value of E(y | X1, X2) may differ in the value of x1 . How can such a potential difference be tested and estimated statistically?For some genetic mutations, it is thought that the frequency of the mutant gene in men increases linearly with age. If m1 is the frequency at age t1, and m2 is the frequency at age t2, then the yearly rate of increase is estimated by r = (m2 − m1)/(t2 − t1). In a polymerase chain reaction assay, the frequency in 20-year-old men was estimated to be 17.7 ± 1.7 per μgDNA, and the frequency in 40-year-old men was estimated to be 35.9 ± 5.8 per μg DNA. Assume that age is measured with negligible uncertainty.a) Estimate the yearly rate of increase, and find the uncertainty in the estimate.b) Find the relative uncertainty in the estimated rate of increase.Note- bolded quiz have already answered A possible important environmental determinant of lung function in children is the amount of cigarette smoking in the home. Suppose this question is studied by selecting two groups: Group 1 consists of 23 nonsmoking children 5-9 years of age, both of whose parents smoke, who have a mean forced expiratory volume (FEV) of 2.1 L and a standard deviation of 0.7 L; group 2 consists of 20 nonsmoking children of comparable age, neither of whose parents smoke, who have a mean FEV of 2.3 L and a standard deviation of 0.4 L.*8.31 What are the appropriate null and alternative hypotheses to compare the means of the two groups? *8.32 What is the appropriate test procedure for the hypotheses in Problem 8.31? *8.33 Carry out the test in Problem 8.32 using the criticalvalue method. *8.34 Provide a 95% CI for the true mean difference in FEV between 5- to 9-year-old children whose parents smoke and comparable children whose parents do not smoke. *8.35 Assuming…