Concept explainers
Workplace bullying and intention to leave. Refer to the Human Resource Management Journal (October 2008) study of workplace bullying, Exercise 12.91 Q (p. 741). Recall that multiple regression was used to model an employee’s intention to leave (y) as a
- a. Explain why the two models are nested. Which is the complete model? Which is the reduced model?
- b. Give the null hypothesis for comparing the two models.
- c. If you reject H0 in part b, which model do you prefer? Why?
- d. If you fail to reject H0 in part b. which model do you prefer? Why?
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- Forensic scientists can learn about events at a crime scene by collecting data. Ex: Properties of glass shards at a crime scene such as chemical composition can indicate what type of glass was broken at the scene. Possible types include building glass (building windows or doors), vehicle glass (car windows or doors), or household glass (lightbulbs, baking dishes). The fitted logistic regression model for predicting whether a glass shard is building glass based on sodium is: = 20.02+(-1.42) (sodium) 1+e20.02+(-1.42) (sodium) Calculate the log-odds that a glass shard with sodium = 13.08 is building glass. Ex: 1.23 C Calculate the probability that a glass shard with sodium = 13.08 is building glass.arrow_forwardThe following table shows the starting salary and profile of a sample of 10 employees in a certain call center agency. Run a multiple regression analysis with starting salary as the dependent variable (pesos) and GPA, years of experience and civil service ratings as the independent variables. Use .05 level of significance. starting salary GPA Years of experience Civil Service Ratings 15000 80.1 1 79.5 15000 81.2 1 78.0 15500 81.3 2 79.0 16000 82.4 3 80.0 16200 83.4 3 85.0 17500 87.9 4 89.9 18000 90.3 5 89.1 16300 84.2 3 84.1 17000 87.0 4 89.0 17900 88.1 5 89.2 In the ANOVA F test output, what is the computed F and the conclusion of the test regarding the overall significance of the model?arrow_forwardThe following table shows the starting salary and profile of a sample of 10 employees in a certain call center agency. Run a multiple regression analysis with starting salary as the dependent variable (pesos) and GPA, years of experience and civil service ratings as the independent variables. Use .05 level of significance. starting salary GPA Years of experience Civil Service Ratings 15000 80.1 1 79.5 15000 81.2 1 78.0 15500 81.3 2 79.0 16000 82.4 3 80.0 16200 83.4 3 85.0 17500 87.9 4 89.9 18000 90.3 5 89.1 16300 84.2 3 84.1 17000 87.0 4 89.0 17900 88.1 5 89.2 Based on the multiple regression output, if GPA and civil service ratings are held fixed, how much is the expected increase in the starting salary (pesos) for every one year increase in the years of experience?arrow_forward
- In the context of regression analysis, what is an a. outlier? b. influential observation?arrow_forwardA regression model to predict Y, the state burglary rate per 100,000 people, used the following four state predictors: X₁ = median age, X₂ = number of bankruptcies per 1.000 population, X3 = federal expenditures per capita (a leading predictor), and X4 = high school graduation percentage. Click here for the Excel Data File (a) Using the sample size of 50 people, calculate the calc and p-value in the table given below. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 4 decimal places.) Predictor Intercept AgeMed Bankrupt FedSpend HSGrad% Answer is complete but not entirely correct. *calc 5.2526 -2.1764✔✔ 1.4101✔ Coefficient 4,198.5808 -27.3540 17.4893 -0.0124 -29.0314 SE 799.3395 12.5687 12.4033 0.0176 7.1268 -0.7045 -4.0736 p-value 0.0000 0.0348 0.2935 0.4848 0.0002arrow_forwardWe wish to determine if there is a correlation between the birth weight (in grams) of nine newborn infants and the length of their mothers’ stay (in days) in the hospital. The results of a correlation and regression analysis are indicated in the Excel output below. The mean birth weight of the newborn infants (the independent variable) was 3162.5 grams, and the mean length of their mothers’ stay in the hospital (the dependent variable) was 7 days. SUMMARY OUTPUT Regression Statistics Multiple R 0.862675 R Square 0.744208 Adjusted R Square 0.707666 Standard Error 6.02142 Observations 9 ANOVA df SS MS F Significance F Regression 1 738.4198 738.4198 20.36599 0.002756 Residual 7 253.8025 36.25749 Total 8 992.2222…arrow_forward
- Let's study the relationship between brand, camera resolution, and internal storage capacity on the price of smartphones. Use α = .05 to perform a regression analysis of the Smartphones01CS dataset, and then answer the following questions. When you copy and paste output from MegaStat to answer a question, remember to choose to "Keep Formatting" to paste the text. a. Did you find any evidence of multicollinearity and variance inflation among the predictors. Explain your answer using a VIF analysis. b. Copy and paste the normal probability plot for your analysis. Is there any evidence that the errors are not normally distributed? Explain. c. Copy and paste the Residuals vs. Predicted Y-values. Does the pattern support the null hypothesis of constant variance for the errors? Explain. d. Study the residuals analysis. Which observations, if any, have unusual residuals? e. Study the residuals analysis. Calculate the leverage statistic. Which observations, if any, are high leverage…arrow_forwardThe systolic blood pressure of individuals is thought to be related to both age and weight. Let the systolic blood pressure, age, and weight be represented by the variables x1, x2, and x3, respectively. Suppose that Minitab was used to generate the following descriptive statistics, correlations, and regression analysis for a random sample of 15 individuals. Relative to its mean, which variable has the greatest spread of data values?arrow_forwardThe following table shows the starting salary and profile of a sample of 10 employees in a certain call center agency. Run a multiple regression analysis with starting salary as the dependent variable (pesos) and GPA, years of experience and civil service ratings as the independent variables. Use .05 level of significance. Based on the multiple regression output, if GPA and civil service ratings are held fixed, how much is the expected increase in the starting salary (pesos) for every one year increase in the years of experience? avil Years of Starting salary GPA service experience ratings 79.5 78.0 79.0 80.0 15000 80.1 1 15000 81.2 1 15500 81.3 2 16000 82.4 3 16200 83.4 17500 87.9 18000 90.3 16,300 84.2 17000 87.0 17900 88.1 85.0 89.9 89.1 4 3 84.1 89.0 89.2 4 Php 291.50 Php 296.50 Php 396.39 Php 94.76arrow_forward
- Q2 A study was conducted to test the effect of melatonin on female dementia patients. A random sample of 10 patients was given a dose of 2.5 mg of melatonin daily, while a control group of 10 patients was given a placebo. The data below are the subjective well-being scores for each of the patients after two months on the assigned treatment. Higher scores indicate greater well-being. Is there a difference in mean well-being score between the two treatments? Assume Equal Variances. Run the test at a 5% level of significance. 1 ) the appropriate null and alternative hypotheses ( 2) the appropriate test ); 3) the decision rule ; 4) the calculation of the test statistic, 5) your conclusion including a comparison to alpha or the critical value, What do the results mean?arrow_forwardWhat percentage of the variation in can be explained by the corresponding variations in and taken together?arrow_forwardA regression model to predict Y, the state burglary rate per 100,000 people, used the following four state predictors: X1 = median age, X2 = number of bankruptcies per 1,000 population, X3 = federal expenditures per capita (a leading predictor), and X4 = high school graduation percentage. Click here for the Excel Data File (a) Using the sample size of 45 people, calculate the tcalc and p-value in the table given below. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your t-values to 3 decimal places and p- values to 4 decimal places.) Predictor Intercept AgeMed Coefficient SE tcalc p-value 4,641.0430 798.0634 -28.8630 12.4684 Bankrupt 20.1604 12.1079 FedSpend HSGrad% -0.0181 0.0181 -30.3196 7.1136 (b-1) What is the critical value of Student's tin Appendix D for a two-tailed test at a = .01? (Round your answer to 3 decimal places.) -value =arrow_forward
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