b. Do you think it was reasonable to assume that the first six of the classical assumptionsare fulfilled for the simple linear regression model stated above? Which one of theclassical assumptions do you think is most likely to be violated in this model? Please 4. Suppose you specify the following linear regression model relating exchange rate inyear t (x,) and growth rate in exports in year t (y) for a small country in Asia.y, = B, + B,x, + ɛ,where & is the error terma. Assuming that this simple linear regression model fulfills all the classical assumptionswe discussed in class, please show that the OLS estimator for the intercept of the simplelinear regression model is an unbiased estimator. [Hint: Use the same technique we used3in class to demonstrate the unbiasedness of the OLS estimator of the slope.]

Consider the simple linear regression model yt=β0 +β1xt + εt where xt= exchange rate in year tyt=…

Suppose you specify the following linear regression model relating exchange rate in year t (x,) and growth rate in exports in year t (y) for a small country in Asia. у, 3 Во + В,х, + €, where ɛ is the error term a. Assuming that this simple linear regression model fulfills all the classical assumptions we discussed in class, please show that the OLS estimator for the intercept of the simple linear regression model is an unbiased estimator. [Hint: Use the same technique we used

Suppose you specify the following linear regression model relating exchange rate in year t (x,) and growth rate in exports in year t (y) for a small country in Asia. у, 3 Во + В,х, + €, where ɛ is the error term a. Assuming that this simple linear regression model fulfills all the classical assumptions we discussed in class, please show that the OLS estimator for the intercept of the simple linear regression model is an unbiased estimator. [Hint: Use the same technique we used

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy

Problem 5EA

See similar textbooks

Similar questions

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?
If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use it to find a second model for the data. Graph this new equation along with your first model. How do they compare?
Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
Does Table 1 represent a linear function? If so, finda linear equation that models the data.