QUESTION 1Consider the following bivariate linear regression model y = a + 3x + u. Suppose thatCov(x, u) > 0, Cov(z, x) > 0, and Cov(z, u) = 0. Then, plim(BoLs) > 3 and plim(Biv) >plim (BOLS).O TrueO False

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Answered: Consider the following bivariate linear…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.6: More Applications Of Matrix Operations

Problem 31E

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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?
QUESTION2 The data set provided by JOHN shows the number of yearly values of flood damage relief items represented by y and the annual rainfall (in centimetres) represented by x over a period of 10 years.y(000s) x (cm)4.0 1101.5 2501.2 2203.0 1503.0 4502.5 2002.0 2102.0 2301.1 2903.0 100 (a) Find the standard deviations of x and y. (b) Find the equation of the least-squares regression line, assuming that the value of the relief items for flood damage depend on the amount of rainfall. (c) Calculate the correlation coefficient using the…
5.In a multiple regression analysis involving 15 independent variables and 200 observations, SST=800 and SSE 240. The coefficient of determination is A 0.700 B. 0.300 C. None D. 0.500 E 0.192
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In an instrumental variable regression model with one regressor, Xi, andone instrument, Zi, the regression of Xi onto Zi has R2 = 0.1 and n = 50.Is Zi a strong instrument? Would your answer change if R2 = 0.1 and n = 150?
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Consider the following bivariate linear regression model y = a + 3x + u. Suppose that Cov(x, u) > 0, Cov(z, x) > 0, and Cov(z, u) = 0. Then, plim(BOLS) > 3 and plim(Biv) > plim(BOLS). O True O False