Low blood oxygen saturation (02 saturation) is a common clinical indicator in COVID-19 patients who need to come to hospital. Do men and women COVID-19 patients have different 02 saturation when they come to hospital? Researchers want to compare mean 02 saturation on arrival at hospital between men and women in a sample of COVID-19 patients. O Two sample t-test O Paired t-test OZ Score method O Regression and correlation O Chi square test O One sample t-test O ANOVA
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- 1. If we choose the significance level α=0.05, is Gender a significant factor in explaining Salary? Explain. 2. Use Excel’s Data Analysis tool to conduct a multiple regression, using Salary as the dependent variable, and all the rest of variables as independent variables.(Choose confidence level at 95 %.) 3. Based on the multiple regression analysis output, write the estimated regression equation. (Keep 2 decimal places) Salary Gender Years Of Service Years Of Education 52,100 0 5 13 55,015 0 20 13 55,520 0 23 12 43,430 0 7 12 43,813 0 5 12 51,903 0 6 12 54,580 0 24 14 54,913 0 18 12 52,100 0 29 12 50,693 0 14 12 47,878 0 10 12 46,555 0 6 14 47,878 0 7 16 47,878 0 9 12 54,913 0 16 13 50,123 0 4 13 50,693 0 20 12 48,933 0 29 12 58,270 0 12 12 50,538 0 5 13 48,933 0 12 12 45,078 0 5 12 47,878 0 5 14 53,508 0 24 12 42,250 0 1 16 53,508 1 8 15 42,250 1 3 15 47,808 1 1 13 50,180 1 11 13 44,163 1 9 10 41,718 1 3 10 47,878…The manager of a concert production company analyzes a regression relating ticket sales to the independent variables "spending on advertising" and "unemployment rate" in the region. The regression was based on a random sample of 30 observations. She computes the D-W statistic to be 1.2 to determine if positive autocorrelation might be a problem. At the 5% significance level, what can we conclude? Multiple Choice We do not reject the null hypothesis and conclude there is likely no autocorrelation. We reject the null hypothesis and conclude there is likely positive autocorrelation. he test is inconclusive. We cannot say whether positive autocorrelation exists. We reject the alternate hypothesis and conclude that there is likely no positive autocorrelation.True or False: Explain Suppose that OLS is unbiased for the following bivariate model: Y = B0 +B1X +u and suppose that the true slope coefficient B1 = 7. If you use the standard t-statistic to test the null hypothesis that the slope coefficient is equal to 0, the probability that you will reject the null hypothesis will increase if you reduce your sample size.
- A researcher wants to measure average cardiovascular health of university students and compare those scores to the average scores in the general population. Assuming that population variance is known, what statistical test is most appropriate for this study? independent-samples t-test single-sample t-test z-test for sample mean related-samples t-testThe researcher wishes to use numerical descriptive measures to summarize the data on each of the two variables: hours worked per week and yearly income.a) Prepare and display a numerical summary report for each of the two variables including summary measures such as mean, median, range, variance, standard deviation, smallest and largest values and the three quartiles.Notes: Use QUARTILE.EXC command to generate the three quartiles. b) Compute the correlation coefficient using the relevant Excel function to measure the direction and strength of the linear relationship between the two variables. Display and interpret the correlation value. Hours Per Week Yearly Income ('000's) 18 43.8 13 44.5 18 44.8 25.5 46.0 11.5 41.2 18 43.3 16 43.6 27 46.2 27.5 46.8 30.5 48.2 24.5 49.3 32.5 53.8 25 53.9 23.5 54.2 30.5 50.5 27.5 51.2 28 51.5 26 52.6 25.5 52.8 26.5 52.9 33 49.5 15 49.8 27.5 50.3 36 54.3 27 55.1 34.5 55.3 39 61.7 37 62.3 31.5…10. The data in chocolate_nobels.xls is not bivariate normal. Plot a scatter plot of the data. Based on the scatter plot, how does the data deviate from bivariate normality? 11. (This question has 3X the normal weight). What is the value of Spearman's correlation coefficient for the association between chocolate consumption and number of Nobel prize winners in chocolate_nobels.xls? 12. Perform a formal test for correlation on the chocolate consumption / Nobel prize winners data in chocolate_nobels.xls. H0: There is no correlation between chocolate consumption and the number of Nobel prize winners (=0) H1: There is a correlation between chocolate consumption and the number of Nobel prize winners ( is not 0) What is the critical value of Spearman's correlation coefficient, which is required to reject the null hypothesis at a 0.05 confidence level?
- The 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?Define errors of prediction in a scatter plot with a regression line?the researcher wishes to use numerical descriptive measures to summarize the data on each ofthe two variables: hours worked per week and yearly income.a) Prepare and display a numerical summary report for each of the two variables including summary measures such as mean, median, range, variance, standard deviation, smallest and largest values and the three quartiles.Notes: Use QUARTILE.EXC command to generate the three quartiles. b) Compute the correlation coefficient using the relevant Excel function to measure the direction and strength of the linear relationship between the two variables. Display and interpret the correlation value.
- Explain in details that how do you evaluate if your data are a good fit for the assumptions of those statistical tests like T test ,Paired t test,one way and two way anova,Chisquare,regression?The average depth of the Hudson Bay is 305 feet. Climatologists were interested in seeing if theeffects of warming and ice melt were affecting the water level. Fifty-five measurements over a periodof weeks yielded a sample mean of 306.2 feet. The population variance is known to be 3.57. Can it beconcluded at the 0.05 level of significance that the average depth has increased?