Indicate whether the following are true or false.Explain your answer. When a dependent variable is categorical, the ordinary least squares (OLS)method can no longer produce the best linear unbiased estimator (BLUE); thatis, OLS is biased and inefficient.

The given statement is if a dependent var is categorical then the ordinary least square method can…

Answered: When a dependent variable is…

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

Section1.2: The Least Square Line

Problem 5E

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Suppose a car's city miles per gallon rating can be determined by the car's weight. The means and standard deviations of these variables and the correlation coefficient between them are reported in the following table. Determine the coefficients of the least squares line for predicting a car's miles per gallon rating from its weight. Report the equation of this line. 2 decimals for "a" and 5 decimals for "b"
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In a study of 2000 model cars, a researcher computed the least-squares regression line of price (in collars) on horsepower. He obtained the following equation of this regression line: Price = -7000 + 170 horsepower Based on the least-squares regression line, what would we predict the cost of a 2000 model car with horsepower equal to 230 to be (assuming no extrapolation error). Please show calculations as tutorial on how to answer the question.
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One day in gym class students took a physical fitness test bydoing push-ups and sit-ups. The standard deviation of the number of sit-ups they were able to do was 7 and the stand-ard deviation of the number of push-ups was 2. A Statistics student used these data to create a least squares regressionline to predict the number of sit-ups a student was able to dobased on the number of push-ups the student did. Which ofthe following could NOT be the slope of that line?A) -2 B) -0.5 C) 1D) 3 E) 4
Suppose the manager of a gas station monitors how many bags of ice he sells daily along with recording the highest temperature each day during the summer. The data are plotted with temperature, in degrees Fahrenheit (F), as the explanatory variable and the number of ice bags sold that day as the response variable. The least squares regression (LSR) line for the data is Bags = -151.05 +2.65Temp. On one of the observed days, the temperature was 82 °F and 68 bags of ice were sold. Determine the number of bags of ice predicted to be sold by the LSR line, Bags, when the temperature is (82\ \text (°F. J\\) Enter your answer as a whole number, rounding if necessary. Bags = 1.11 residual Incorrect Using the predicted value you just found, compute the residual at this temperature. 1.11 Incorrect ice bags ice bags
under which conditions measuremnt error is problematic in terms of bias and inconsistency of the ordinary least squares(OLS) estimator.

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When a dependent variable is categorical, the ordinary least squares (OLS) method can no longer produce the best linear unbiased estimator (BLUE); that is, OLS is biased and inefficient.