a) The probability limit of the OLS estimator in the case of omitted variables is given by the following formula: Ou B, B1 + Pxu Ox Give an intuitive explanation for conditions under which the bias term in this equation will be small.
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- Jean puts 12 books on a shelf in random order. Three are by the same author. What is the probability that those 3 books will be next to each other?Suppose that and 2 are unbiased estimators of the parameter . We know that V (₁) - 10and V(₂) - 5. Which E = estimator is the best? Enter the number of estimator, 1 or 2. Statistical Tables and ClFor the situation described below, state the null and alternative hypotheses to be tested. (Enter != for ≠ as needed.) A new variety of pearl millet is expected to provide an increased yield over the variety presently in use, which has a mean yield of about 55 bushels per acre.
- Please answer this question asap I will rate you for sure. The fair dice are rolled at once. Let x denotes the positive difference in the number that appears on the top faces of the two dice. Find the P(x)=(3).4. Suppose you are given the following information: = 49.6870 – 2.1586X; r2 = 0.9757 (0.7463) (0.12113) df=8 T= (66.578) (-17.821) p-value = (0.000) (0.000) a) Conduct a two tailed hypothesis test that: i) The intercept is 49 and the slope coefficient is -2, use 1% significance. ii) Confirm your deductions to 4(a) (i) using a confidence interval approach b) What does the r2 tell you? c) Perform a hypothesis using r2, such that p=D0, what do you conclude?8. Given E(x,-)-78 and N= 80, then the population standard deviation, a, is approximately O a) 0.975 O b) 0.987 O0.994 Od) 0.110 SAMSUNG
- A study is conducted to determine factors in solving missing persons cases. The outcome is Y; which is equal to 1 if the i-th missing person case is unsolved and 0 if it is solved. Let covariate X1; be an indicator equal to 1 if the i-th case is female and 0 for male. Let X2i be a categorical covariate of age group for the i-th case. Categories are less than 14 years old (base level/group), between 14 and 19 years old, and older than 19 years. Set u = P(Y = 1) and the following model is fit: logit(u) = Bo + BịI(Female) + B2I(14 to 19 yrs old) + B3I(> 19 yrs old) The output from the model is below: Estimate S.E. p-value Bo -4.565 0.128 0.380 0.087 B2 Вз -0.198 0.042 0.163 1.128 0.133 a. Using the logistic regression output, calculate the estimated odds ratio of a case being unsolved (again Y=1 is unsolved and Y=0 is solved) comparing females to males (female is the numerator odds) of the same age. Interpret this odds ratio in context of the problem. iii b. Create a 95% confidence…How would a person set up the hypotheses if they wanted to test the claim: the mean temperature of a October day in Oahu is different from 81 degrees? A: Ho µ = 81° vs HA H > 81° B: Ho H = 81° vs HA H 81° AIf the life expectacy in county A is 65 years with CI of (55, 75) and in county B is 87 years with CI of (40, 98), are the two life expectancies likely to be statistically different?