Using the following values: sum squared of deviations on variable X equals 140, sum squared of deviations on variable Y equals 60; sum of product of deviations between the variables X and Y equals -80 ; arithmetic mean for variable X equals 3, arithmetic mean for variable Y equals 12. Number of observations = 30. Xpredict=2Estimate the coefficients: intercept and slope.Calculate the coefficient of determination. Give the interpretation.Calculate the standard error on the estimated equation.Make the tests on statistical significance for level of significance 0,05 (t-test only for coefficient slope, F-test).List all levels of significance for which the null hypothesis is rejected.Calculate the pointed forecasting and confidence intervals.Calculate the average coefficient of elasticity, interpretation.Write a general conclusion about the quality of fitting the estimated equation. Solve the problem:Using the following values: sum squared of deviations on variable X equals 140,sum squared of deviations on variable Y equals 60; sum of product of deviationsbetween the variables X and Y equals -80; arithmetic mean for variable X equals3, arithmetic mean for variable Y equals 12. Number of observations = 30.Xpredict=2Estimate the coefficients: intercept and slope.Calculate the coefficient of determination. Give the interpretation.Calculate the standard error on the estimated equation.Make the tests on statistical significance for level of significance 0,05 (t-test onlyfor coefficient slope, F-test).List all levels of significance for which the null hypothesis is rejected.Calculate the pointed forecasting and confidence intervals.Calculate the average coefficient of elasticity, interpretation.Write a general conclusion about the quality of fitting the estimated equation.

Given that,sum squared of deviation on variable X is sum squared of deviation on variable Y is the…

Answered: sing the following values: sum squared…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Using the following values: sum squared of deviations on variable X equals 140, sum squared of deviations on variable Y equals 60; sum of product of deviations between the variables X and Y equals -80 ; arithmetic mean for variable X equals 3, arithmetic mean for variable Y equals 12. Number of observations = 30. Xpredict=2

Estimate the coefficients: intercept and slope.
Calculate the coefficient of determination. Give the interpretation.
Calculate the standard error on the estimated equation.
Make the tests on statistical significance for level of significance 0,05 (t-test only for coefficient slope, F-test).
List all levels of significance for which the null hypothesis is rejected.

Calculate the pointed forecasting and confidence intervals.
Calculate the average coefficient of elasticity, interpretation.
Write a general conclusion about the quality of fitting the estimated equation.

Solve the problem:
Using the following values: sum squared of deviations on variable X equals 140,
sum squared of deviations on variable Y equals 60; sum of product of deviations
between the variables X and Y equals -80; arithmetic mean for variable X equals
3, arithmetic mean for variable Y equals 12. Number of observations = 30.
Xpredict=2
Estimate the coefficients: intercept and slope.
Calculate the coefficient of determination. Give the interpretation.
Calculate the standard error on the estimated equation.
Make the tests on statistical significance for level of significance 0,05 (t-test only
for coefficient slope, F-test).
List all levels of significance for which the null hypothesis is rejected.
Calculate the pointed forecasting and confidence intervals.
Calculate the average coefficient of elasticity, interpretation.
Write a general conclusion about the quality of fitting the estimated equation.

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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