QUIZ 1

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East Tennessee State University *

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MISC

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Statistics

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Apr 3, 2024

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docx

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6

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ALL QUIZES Quiz 1 1. Which of the following is a nominal variable? A. Gender B. Blood type C. Temperature D. City 2. Simple linear regression is used to compare two means. A. True B. Fals e 3. Nominal variables allow only for quantitative classification. A. True B. Fa lse 4. Which of the following variables allows us to rank items that are measured? A. Nominal B. Ratio C. Ordinal D. B,c, and d 5. Type I error is made when a researcher rejects the null hypothesis when it is actually true. A. Tru e B. False 6. A researcher wants to compare a sample mean with a population mean, which of these tests will be employed? A. Paired T-Test B. One Sample t est
C. ANOVA D. Two independent t-tests 7. Correlation analysis is always used to evaluate the relationship between two continuous variables and can take values -1, +1 or any number between -1 and +1. A. True B. Fa lse 8. In testing the null hypothesis, the overall T-test obtained in a one-way ANOVA is useful in making inferences. A. True B. Fa lse *Anova uses F-tests 9. The result of a study shows that when the level of HDL cholesterol increases in an individual, the risk of cardiovascular disease increases. We can conclude that the two variables are highly negative correlated. A. True B. Fal se 10. Analysis of variance (ANOVA) is mainly used to compare more than two means. However, it will give the same results as two sample- independent T-test if we compare two means. A. Tru e B. False QUIZ 2 1. One usefulness of scatter plots is its ability to detect outliers A. Tru e B. False 2. Regression analysis is used to predict the value of the independent variable on the basis of the other dependent variables. A. Tru e B. False
3. For linear regression analysis, which of these variables will not be used to predict the response? A. Predictor variable B. Explanatory variable C. Independent variable D. Risk Factor E. None of the ab ove 4. The least squared method is used to minimize the sum of squares of the residuals, or the sum of distances from the regression line to the observed data points. A. Tr ue B. False 5. A deviation between the predicted and mean values of the response variable ( ^ y - (y-bar)) is the explained deviation be the regression line. A. Tru e B. False 6. Suppose we do a linear regression analysis, the best linear regression model to fit the data will be the one that minimizes the sum of squared errors. A. Tr ue B. False 7. Assume that the simple linear regression model we have fitted is y=b 0 +b 1 x. We can conclude that there is no negative association between two variables x and y if b 0 <0. A. True B. Fals e
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8. Assume that the sum of squared errors (SSE) of a simple linear regression model is 18 and the number of observations is 5, what will the mean squared error (MSE) be? A. 23 B. 13 C. 6 D. 11 9. Simple linear regression analysis has been performed. An R 2 value close to 0 shows that there is no evidence for a linear and non-linear relationship between 2 variables. A. True B. Fal se 10. Simple linear regression analysis has been performed. Which of the following estimated 95% confidence intervals of the slope indicates the significant linear association between x and y at alpha=0.05 significance level? A. (0.078, 0 .086) B. (-0.040, 5.967) C. (-0.12, 2.56) D. (-0.925, 234.1) QUIZ 3 1. Which of the following models is suitable for determining the relationship between one continuous dependent variable and two or more independent variables? A. Simple logistic regression B. Simple linear regression C. Multiple linear regres sion D. A and C 2. The parameters B 0 and B 1 are sometimes called partial regression coefficients because they reflect the partial effect of one predictor
variable when the other predictor variable is included in the model and held constant. A. True B. Fals e 3. Any standardized multiple regression coefficient measures the change in Y in standard deviations, per standard deviation change in the related independent variable, controlling for all other predictors. A. Tru e B. False 4. Which of the following will be useful in testing if a slope parameter is zero given that all others remain in the model? A. F-test B. ANOVA C. T-te st D. None of the above 5. Errors in MLR have normal distribution and are dependent. A. True B. Fals e 6. Which of the following tests will be used in testing a simple linear regression coefficient? A. Paired T-test B. F-test C. ANOVA D. One sample t-te st 7. Which of the following tests will be useful in testing if two or more slope parameters are zero? A. Studentized t-test B. F-tes t C. Independent t-test D. Dependent t-test
8. When we add one or more independent variables to a simple or MLR model, what happens to the value of coefficient of determination R 2 ? A. Decreases B. Never decreas es C. Unchanged D. A and B 9. b i =sample regression coefficients SST= total sum of squares Rx 1 , x 2 =correlation coefficients among predictors Se= standard deviation of errors R 2 =coefficient of determination F-test= test if MSR is significantly higher than MSE SSE= Sum of squares error R= coefficient of multiple correlation B i = population regression coefficients Sbi=standard error of regression coefficients SSR= regression of sum of squares t-test= test significance of a single regression coefficient
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