a. What is the p value of the test of B2 = 0? b. Вi + 2B2 %3D 5? c. B1 – B2 + 2ß3 = 5?
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![2) If we have y = xB + e = B1 + x2B2 + X3ß3 + e, with 63 observations,
3
B = [2,3,1] with var
= |-2
4
3.
What is the p value of the test of ß2 = 0?
b. B1 + 2B2 = 5?
с. В — В2 + 2вз 3 5?
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- Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x=104.18, y=105.25, r=0.892, P-value=0.000, and y=17.77+0.84x, where x represents the IQ score of the younger child. Find the best-predicted value of y given that the younger childhas an IQ of 108? The best-predicted value of y is?Suppose the manager of HRD would like to examine the relationship between increment in the salary (Y ) BDT and years of experience(X1)among the employees with different job categories (X2) such as clerical, custodial, and The data on 56 employees on these variables were obtained. Two dummy variables were created for the categorical independent variable X2 as D1=1 if he/she is doing custodial job and 0 for otherwise and D2=1 if s/he is doing managerial job and 0 for otherwise.. The least squares estimate are given below: Y = 120 + 10.3X1 + 20.8D1 + 32.4D2 with SE(βˆ1) = 0.876; SE(βˆ2) = 3.26 SE(βˆ2) = 3.87 and SST=12036, SSE=3050 (a) Interpret the estimate of the each of the coefficient corresponding to X1, D1 and D2. What is the difference in the estimated average increment for two employees both doing managerial job whose experience differ by 5 years? (b) What is the difference in the estimated average increment for two employees both doing managerial job whose…CBS news reported that 4% of adult Americans have a food allergy consider selecting 10 adult Americans at random define the variable x as: x= number of people in the sample of 10 that have a food allergy a. p(x<3) b. p(x lesss than or equal to 3) c. p (x greater than or equal to 4) d. p (1 less than or equal to x less than or equal to 3)
- Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=99.69, y=101.15, r=0.903, P-value=0.000, and y=−0.2+1.02x, where x represents the IQ score of the twin born second. Find the best predicted value of y given that the twin born second has an IQ of 108? Use a significance level of 0.05. The best predicted value of Y is?An aircraft company wanted to predict the number of worker-hours necessary to finish the design of a new plane. Relevant explanatory variables were thought to be the plane’s top speed, its weight, and the number of parts it had in common with other models built by the company. A sample of 27 of the company’s planes was taken, and the following model was estimated:y = β0 + β1x1 + β2x2 + β3x3 + εwherey = design effort, in millions of worker-hoursx1 = plane’s top speed, in miles per hourx2 = plane’s weight, in tonsx3 = percentage number of parts in common with other modelsThe estimated regression coefficients were as follows:b1 = 0.661 b2 = 0.065 b3 = -0.018and the estimated intercept was 2.0.Predict design effort for a plane with a top speed of Mach 1.0, weighing 7 tons, and having 50% of itsparts in common with other models.The television show Lett3rs has been successful for many years. That show recently had a share of 19, which means, that among the TV sets in use, 19% were tuned to Lett3rs. An advertiser wants to verify that 19% share value by conducting its own survey, and a pilot survey begins with 10 households have TV sets in use at the time of a Lett3rs broadcast. If at most one household is tuned to Lett3rs, does it appear that the 19% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Lett3rs unusual?) A. no, it is not wrongB. yes, it is wrong
- If 25% of the oranges produced by a farm is defective in a random sample of 20 oranges, then if the variable X represents the number of defective oranges in the required sample: Calculate (X> 3) exactlySuppose IQ scores were obtained for 20randomly selected sets of twins. The 20 pairs of measurements yield x=104.38, y=103.25, r=0.826, P-value=0.000, and y=19.99+0.8x, where x represents the IQ score of the twin born first. Find the best predicted value of y given that the twin born first has an IQ of 110?Use a significance level of 0.05. The best predicted value of y is:For example, for student ID s1243657, the 4th digital of s1243657 is “3”, therefore variable “A” is “Use interactive activities”; the 5th digital of s1243657 is “6”, therefore variable “B” is “Give a lot of assignments”; the 6th digital of s1243657 is “5”, therefore variable “C” is “Good communication skills. Take student id S12042516 as an example. With the data collected, Dr Tian ran a test to see if there were significant relationships between A, B, C and satisfaction toward e-learning. i ) Suggest the test that should be used and explain your reason. State the independent and dependent variables, underlying null and alternative hypotheses.
- A set of 15 different integers has a median of 25 and a range of 15. 1. What is the greatest possible integer that could be in this set? 2. If the second largest number is 39 and the mode is 33, what is the coefficient of the variation? 3. What will be the value of kurtosis and its description?Suppose that in a research it was discovered that those who majored in math, engineering, or computer science scored higher on tests measuring "problem-solving" ability at the end of 4 years of college than did those students who did not major in these fields. A. What is (are) the independent variable(s)?At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B Consider a random sample of n=9 people who donated blood over the past three months. a) The expected number of people with blood type O+ is _____and the expected number of people with blood type A- is ______Round your answers to 2 decimal places. b) Calculate the following probabilities: P(X=5)=_________ Round your answer to 4 decimal places. P(X>2)=_________ Round your answer to 4 decimal places.
