Suppose that the LFPR in 1968 was 0.58 (or 58 percent). On the basis of the regression results given above, what is the mean LFPR in 1972? Establish a 95% confidence interval for the mean prediction. Consider the following regression output:Ŷt= 0.2033 +0.656Xtse (0.0976) (0.1961)r² = 0.397 RSS=0.0544 ESS = 0.0358Where:Y = labor force participation rate (LFPR) of women in 1972 andX = LFPR of women in 1968. The regression results were obtained from a sample of 19 cities in theUnited States.

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Answered: Consider the following regression…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Suppose that the LFPR in 1968 was 0.58 (or 58 percent). On the basis of the regression results given above, what is the mean LFPR in 1972? Establish a 95% confidence interval for the mean prediction.

Consider the following regression output:
Ŷt
= 0.2033 +0.656Xt
se (0.0976) (0.1961)
r² = 0.397 RSS=0.0544 ESS = 0.0358
Where:
Y = labor force participation rate (LFPR) of women in 1972 and
X = LFPR of women in 1968. The regression results were obtained from a sample of 19 cities in the
United States.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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