Question 1 Provide an algebraic proof that the least squares estimator is not consistent when Cov(x,e)=0 with the regression model y =B1+B2E(x)+e where E(e)=0 So that E(y) = B1 + B2E(x)
Q: applicant
A: Given that mean is 152.9 and standard deviation is 9. Let X reprehensible the applicant scores.…
Q: The accompanying data set includes volumes (ounces) of a sample of cans of regular Coke. The summary…
A: It is given that, The sample size is 36. The sample mean is 12.193. The sample standard deviation is…
Q: Identify the test statistics _________________ (Round to two decimal places as needed.) 2. Identify…
A: Given that Sample size n =36 Sample mean =12.189 Sample standard deviation =0.109
Q: Below is a frequency distribution of the number of goals made in each game from a past season of the…
A: Introduction The frequencies of the cases referred are highlighted tabularly in a frequency…
Q: 1C. What amount of time would place a student using the elliptical at the UCF gym in the bottom…
A: It is given that Mean, μ = 18.9 Standard deviation, σ = 2.15
Q: s the degrees of freedom increase, the graph of the chi-square distribution looks more and more…
A: We have to find when the degrees of freedom increase, the graph of the chi-square distribution…
Q: 1. Studies of a specific enzyme activity showed that the time the enzyme activity before complete…
A: Given Mean=10 hours
Q: Consider the density function: ) = {k√x₁ 0, f(x) = (a) Evaluate k (b) Find F (x) and use it to…
A: Given f(x)=k√x 0<x<1 Determine k and also cdf F(X)
Q: 9. A level of significance of 10% means Group of answer choices There is a 10 % chance that we are…
A: In statistics we have two types of errors which are, Type I error : Rejecting the null hypothesis…
Q: 12) Construct a 99% confidence interval for the population mean, μ. Assume the population has a…
A:
Q: To that end let X and Y to be two variables and suppose we have collected data on both of them from…
A: Given Bi-variate analysis of two way table.
Q: standard deviation of 500 hours. ) If a new ballast system shows a mean life of 3,515 hours in a…
A:
Q: The cumulative frequency function of a discrete variable X in group A is given by x < 12 12 < x < 32…
A: Hai
Q: Is the average time to complete an obstacle course shorter when a patch is placed over the right eye…
A:
Q: A random sample of 40 Northern California households yields an average size of 3.21 persons with a…
A: Solution: Given information: n=40 Sample size x= 3.21 Sample mean s=0.61 Sample standard deviation
Q: A graduating class reported starting salaries represented on the following frequency table.…
A: According to the given information in this question We need to find mean of the given data
Q: The accompanying data set includes volumes (ounces) of a sample of cans of regular Coke. The summary…
A: From the provided information, Sample size (n) = 36 Sample mean (x̄) = 12.193 Sample standard…
Q: pressure (SBP) during the test was 118.3 mm HG with a standard deviation of 9.9 mm HG. Construct a…
A: Given that Sample size n =14 Sample mean=118.3 Standard deviation =9.9
Q: 4.52 On a particular test for a very large statistics class, a random sample of n = 4 students has a…
A: Given that Sample size n =4 Sample mean=75 Sample standard deviation =8
Q: The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours.…
A:
Q: When using the Central Limit Theorem, what is the "magic number" for sample size that allows you to…
A: the "magic number" for sample size that allows you to use the C.L.T even if the population is not…
Q: Let π represent the percentage of all male students who would receive a grade of B on this test. Use…
A: It is given that the data in cross-tabulation form. Total students i.e, sample size n = 48…
Q: A new antihistamine that helps prevent seasonal allergies comes on the market. Tests indicate that…
A:
Q: a. Given that the water taxi was rated for a load limit of 3500 lb, what is the maximum mean weight…
A: It is given that Mean, μ = 181 Standard deviation, σ = 38
Q: X is a random variable with mean 30 and standard deviation 4. Y is a random variable with mean 50…
A: Given that. For X E(X) = 30 , Sd(X) = 4 , E(Y) = 50 , Sd(Y) = 8
Q: Exhibit 13-12 SSTR = SSE = 900 nT= 18 .22 736 Refer to Exhibit 13-12. The test statistic to test the…
A: The values given in the question are as : Sum of square for treatments (SSTR) = 736 Sum of square…
Q: Hi There. I need help with this stats question in Excel. I'm totally lost - I believe it relates to…
A: Given The average number of clicks per minute on the website =342 The number of seconds in a minute…
Q: video games showing alcohol use were observed. duration time Thirty-seven test of the claim that the…
A: given data sample size n = 37one sample t test. claim : μ > 88what does df denote and what is its…
Q: The relationship between sales and advertising expenditures (both estimated in millions of dollars)…
A: Comment: As per the our company guidelines we are supposed to answer only three subparts. Kindly…
Q: The following histograms each represent binomial distributions. Each distribution has the same…
A:
Q: a. The Ipad was the device with a score of 81. Find the percentile for this device.
A: Here given, In a recent year, Consumer Reports rated many tablet computers for overall performance…
Q: Let z be a standard normal random variable with mean μ = 0 and standard deviation = 1. Use Table 3…
A: The random variable z follows standard normal distribution with mean µ = 0 and standard deviation σ…
Q: The combined Romer-Solow model (I): Make one change to the basic combined model that we studied in…
A: a ) Production function for the output is Yt = AtKt1/4Lyt3/4 1/4 is added to capital and 3/4 is…
Q: of fruits spoiled frequency 0 3 1 14 2 11 3 9 4 9 5 2 6 2 7 3 14 1 25 1 build a steam and leaf chart…
A: Data given number of fruits spoiled frequency 0 3 1 14 2 11 3 9 4 9 5 2 6 2 7 3…
Q: uppose widget masses have a mean of 20 grams and a standard deviation of 5 grams. It is known that…
A: Given, mean is 20 and standard deviation is 5. We will use z-standard normal distribution to find…
Q: Three people have their birthdays in the same week. What is the probability that the three…
A: (a) Let 3 people be M1, M2 and M3. Also, we know that there are 7 days in a week. M1 may have…
Q: Data on 4500 college graduates show that the mean time required to graduate with a bachelor's degree…
A: given;sample size(n) = 4500mean(x¯)=6.38 yearsstandard deviation(s) =1.39 yearsconfidence level 95%…
Q: The claim is that for 11 AM body temperatures of females, the mean is less than 98.6°F. The sample…
A: Solution: Given information: n= 37 Sample size Claim: For 11 AM the mean body temperature of…
Q: dy A consumer advocacy group is doing a large study on car rental practices. Among other things, the…
A:
Q: A data set includes data from student evaluations of courses. The summary statistics are n=84, x=…
A: Givensample size(n)=84Mean(x)=3.84standard deviation(s)=0.61significance level(α)=0.10
Q: 4.36 What is the probability of X lying between 49 and 50 for a random sample of 36 from a…
A: Given that Mean = 48 , Standard deviation = 12 , n = 36
Q: Complete the class frequency table below. Class interval 6-10 11-15 16-20 21-25 26-30 Total Class…
A: The data are arrange in increase order and the increase order are: 6, 7, 8, 10, 10, 11, 11, 11, 11,…
Q: Please use the accompanying Excel data set or accompanying Text file data set when completing the…
A: Given 3.775302 4.217981 4.030324 4.639692 4.139665 4.824257 4.268119 4.584193 4.395575 4.930027…
Q: The weight of medium-size tomatoes selected at random from a bin at the local supermarket is a…
A: x = weight of medium size tomato μx = 10σx = 1select 4 tomatoes at random y = total weight of those…
Q: To calculate the F statistic A. The MSE and SST is important B. The pooled variances is…
A: Given that MSE = Mean Sum of Square of Error SST = Sum of Square of Treatment dfT = Degree of…
Q: P(A and B) cannot be 0.7. 4.101 Is the calcium intake adequate? In the population of young children…
A:
Q: An online vendor of high-end hiking apparel meticulously tracks the number of clicks on its website.…
A: Given information: Clicks occur completely randomly with an average of 342 clicks per minute.
Q: What is the critical value?
A: It is given that the z-test for one population proportion test.
Q: The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a…
A: Given that Mean = M = 205 , Standard deviation = SD = 8.9
Q: An automatic machine inserts mixed vegetables into a plastic bag. Past experience revealed that some…
A: Given n=4 P(underweight)=2.5%
Question 1
Provide an algebraic proof that the least squares estimator is not consistent when Cov(x,e)=0 with the regression model y =B1+B2E(x)+e where E(e)=0
So that E(y) = B1 + B2E(x)
Step by step
Solved in 2 steps
- Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?a) explain on he strenght and variation of the model (multiple regression) b) At a-value =0.01. test whether there is a significiant relationship between the dependent variable (y) and the independant variables x1, x2 and x3Question 1 Provide an algebraic proof that the least squares estimator is not consistent when Cov(x,e)=0 with the regression model y =B1+B2E(x)+e where E(e)=0 So that E(y) = B1 + B2E(x) Full explain this morning and text typing work only thanks
- tion 13 A least squares regression line a. may be used to predict a value of y if the corresponding value is given O b. implies a cause-effect relationship between x and y O c. can only be determined if a good linear relationship exists between x and y Od. All of these answers are correct.For the regression model Yi = b0 + eI, derive the least squares estimator.Data from a sample of 10 student is used to find a regression equation relating y = score on a 100-point exam to x = score on a 10-point quiz. The least squares regression equation is = 35 + 6 x. The standard error of the slope is 2. The following hypotheses are tested: ŷ 3.1 a. -2.0 b. 2.0 c. 3.0 d. 0 Ho: B₁ = 0 Ha: B₁ 0 What is the value of the t-statistic for testing the hypotheses? What is a 95% confidence interval for P₁ 3.2 a. (1.38, 10.62) b. (1.48, 10.52) c. (1.54, 10.46) d. None of the above
- Find the least-squares regression line ŷ =b0+b1x through the points (-2,2), (2,6), (5,13),(8,20),(10,24). For what value of x is ŷ =0? x =?Detail all the steps involved in testing the hypothesis below for the linear regression model y = XB + e, where X = (50 x 6) for two cases. Ho: X3B3 + x4B4 = 0 На: x3B3 + x4B4 # 0Construct an example of a regression model that satisfies the assumptionE(ui | Xi) = 0 but for which E(U | X ) ≠0n.
- y y 90 54 50 53 80 91 35 41 60 48 35 61 60 71 40 56 60 71 55 68 40 47 65 36 55 53 35 11 50 68 60 70 65 57 90 79 50 79 35 59 A data set consist of dependent variable (y) and independent variable (x) as shown above. It is claims that the relationship between the x and y can be modelled through a regression model as follows: ŷ = a+bx where a and b are the estimated values for a and ß (refer to Appendix). (i) Determine the equation of the regression line to predict the y value from the x value. (ii) If the x value is 75, what is the value of y? (iii) Test the hypothesis that a=10 against the alternative a <10. Use a 0.05 level of significance. (iv) Construct a 95% prediction interval for the y with x=35.Find the least-squares regression line ŷ bo+ b₁z through the points For what value of is y = 0? H= (-2,0), (1, 6), (4, 14), (8, 19), (10, 27).A) A linear regression has a =6 and b=5 what is y predicted as when x=9? B) A linear regression has b=3 and a=4.What is the predicted Y for x=7?
