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ISYE 6414 Midterm Summer Study Guide 2024 Questions & Answers 100% Correct Verified $7.99   Add to cart

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ISYE 6414 Midterm Summer Study Guide 2024 Questions & Answers 100% Correct Verified

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Assuming that the residuals are normally distributed, the estimated variance of the error terms has the following sampling distribution under SLR: - Chi-square with n-2 degrees of freedom fitted values def - the regression line with parameters replaced with the estimated regression coefficients ...

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  • July 6, 2024
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ISYE 6414 Midterm Summer Study Guide
| 2024 Questions & Answers | 100%
Correct | Verified
Assuming that the residuals are normally distributed, the estimated variance of the error terms has the
following sampling distribution under SLR: - ✔✔Chi-square with n-2 degrees of freedom



fitted values def - ✔✔the regression line with parameters replaced with the estimated regression
coefficients



the estimators of the linear regression model are derived by - ✔✔minimizing the sum of squared
differences between observed and expected values of the response variable



the estimators for the regression coefficients are - ✔✔unbiased regardless of the distribution of the data
data



the assumption of normality is needed for - ✔✔the sampling distribution of the estimators of the
regression coefficients and hence for inference



the estimated versus predicted regression line for a given x* have - ✔✔the same expectation



the variability in the prediction comes from - ✔✔the variability due to a new measurement and due to
estimation



residual analysis is used for - ✔✔assessing uncorrelated errors; goodness of fit assessment



we detect departure from the assumption of constant variance - ✔✔when the residuals increase as the
fitted values increase (or decrease, etc)

, There is a direct relationship between the coefficient of determination and the correlation between the
predicting and response variables (T/F) - ✔✔True



The coefficient of determination is interpreted as - ✔✔the percentage of variability in the response
variable explained by the model



Box-Cox transformation is commonly used to improve upon the linearity assumption (T/F) - ✔✔FALSE



If a departure from independence assumption is detected, we transform the response variable to
improve assumption (T/F) - ✔✔FALSE



pooled variance estimator is - ✔✔the variance estimator assuming equal variances



total sum of squares / N-1 = - ✔✔the sample variance estimator assuming equal means and equal
variances



MSE measures - ✔✔the within-treatment variability



if we reject the test of equal means, we conclude - ✔✔that some treatment means are not equal



objective of pairwise comparison - ✔✔to identify the statistically significantly different means



estimated SLP coefficient beta zero measures strength of linear relationship between predicting and
response variables (T/F) - ✔✔FALSE - beta zero is intercept



in SLR, we lose three degrees of freedom when estimating the variance of the error terms (T/F) -
✔✔FALSE - we lose two degrees of freedom because variance estimator only uses estimates for beta
zero and beta one in its calculation



sampling distribution of the estimator of the variance is ____ distributed with ____ degrees of freedom -
✔✔chi-squared, n-2 (under assumption of normality of error terms)

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