QUESTION 53 Which of the following is the purpose of multiple regression analysis? (CHECK ALL THAT O To predict a response variable from several explanatory variables. To determine if there is a significant difference between several different groups. O To predict an explanatory variable based on values of several response variables. To predict an explanatory variable based on values of a response variable. QUESTION 54
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- Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?Bill is the office manager for a group of financial advisors who provide financial services for individual clients. She would like to investigate whether a relationship exists between the number of presentations made to prospective clients in a month and the number of new clients per month. The following table shows the number of presentations and corresponding new clients for a random sample of six employees. Employee Presentations New Clients 1 2 1 2 8 2 3 9 4 4 10 3 5 11 5 6 12 6 Bill would like to use simple regression analysis to estimate the number of new clients per month based on the number of presentations made by the employee per month. The average number of new clients per month for an employee who made 20 presentations per month is ________. 5.02 5.45 3.43 8.69Sarah is the office manager for a group of financial advisors who provide financial services forindividual clients. She would like to investigate whether a relationship exists between the numberof presentations made to prospective clients in a month and the number of new clients per month.The following table shows the number of presentations and corresponding new clients for aa random sample of six employees.Employee Presentations New Clients1 7 22 9 33 9 44 10 35 11 56 12 3Sarah would like to use simple regression analysis to estimate the number of new clients permonth based on the number of presentations made by the employee per month. The test statisticfor testing the hypothesis that the population coefficient of determination is greater than zero is________. A) 1.03 B) 1.45 C) -1.16 D) 0.35
- Sarah is the office manager for a group of financial advisors who provide financial services for individual clients. She would like to investigate whether a relationship exists between the number of presentations made to prospective clients in a month and the number of new clients per month. The following table shows the number of presentations and corresponding new clients for a random sample of six employees. Employee Presentations New Clients 1 7 2 2 9 3 3 9 4 4 10 3 5 11 5 6 12 3 Sarah would like to use simple regression analysis to estimate the number of new clients per month based on the number of presentations made by the employee per month. The expected number of new clients per month for an employee who made 10 presentations per month is ________. 2.3982 1.6753 3.0521 3.4348Do sit down restaurant franchises and fast food franchises differ significantly in stock price? Specifically, is the average stock price for sit-down restaurants less than the average stock price for fast food restaurants? A hypothesis test for two independent samples is run on data recorded from the stock exchange and a p-value is calculated to be 0.6807. What is the appropriate conclusion? Question 15 options: 1) The average stock price of sit-down restaurants is greater than or equal to the average stock price of fast food restaurants. 2) The average stock price of sit-down restaurants is significantly less than the average stock price of fast food restaurants. 3) We did not find enough evidence to say the average stock price of sit-down restaurants is greater than the average stock price of fast food restaurants. 4) We did not find enough evidence to say a significant…A health researcher plans a research project in which they will do a multiple regression analysis and perform all the significance tests at α = 0.01. They expect a medium sized effect, f2 = 0.15. They have a candidate set of eight variables with which to perform the regression. What is the necessary sample size to achieve a power of 0.8?
- In multiple regression, R can be ________. Question 6 options: tested for significance equated with the concept of a proxy variable equated with the concept of a latent variable considered equivalent to covariancea.) There is some evidence that political views are shaped by where one grew up—in a city, in a suburb, or in a rural area. Using the "comm" variable (0 = rural; 1 = suburban; 2 = urban), we run a regression explaining where one lies along the abortion spectrum (0 = pro-life, 4 = pro-choice). Using the results below, assess that relationship. What is the null hypothesis (be specific)? Do we reject it or not? Interpret your findings for the layperson as well. . regress abort comm Source | SS df MS Number of obs = 305 -------------+---------------------------------- F(1, 303) = 2.57 Model | 5.36960305 1 5.36960305 Prob > F = 0.1100 Residual | 633.364823 303 2.09031295 R-squared = 0.0084 -------------+---------------------------------- Adj R-squared = 0.0051 Total | 638.734426 304 2.10110009 Root MSE = 1.4458…In a regression model involving 10 observations and 2 independent variables, SSR = 66 and SST = 80. The computed F-statistic for testing the significance of the above model is _____. In your answer, show one (1) digit to the right of the decimal point, for example, 1.0, 1.2. Apply the appropriate rounding rule if necessary.
- Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). Copy and paste the numbers in an Excel worksheet and then use Excel's Regression tool to conduct a simple linear regression analysis. Choose 95% confidence level. Answer the following questions: x y 2 12 3 9 6 8 7 7 8 6 7 5 9 2 Find out F Statistics (Only report the integer part) F Statistics is statistically significant at 5% level. Answer Yes or No. Yes No Find out t statistics for the independent variable x (Keep 2 decimal places) t statistics is statistically significant at 5% level. Answer Yes or No. Yes No What is the lower bound of the 95% confidence interval for the independent variable x (Keep 2 decimal places) What is the upper bound of the 95% confidence interval for the independent variable x (Keep 2 decimal places)In a multiple regression analysis, two independent variables are considered, and the sample size is 27. The regression coefficients and the standard errors are as follows. b1 = 1.670 Sb1 = 0.52 b2 = −2.018 Sb2 = 0.65 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) H0: β1 = 0 H0: β2 = 0 H1: β1 ≠ 0 H1: β2 ≠ 0 H0 is rejected if t < −2.064 or t > 2.064 1. t values 2.which variables can be deleted? a.the first and second b.Neither c.The secondWhich regressors are meaningful at the 5% significance level according to the Minitab output given below for regression analysis? (n=12) A)Only x3 B)Only x1 C)x2 and x3 D)x1 and x2