Determine the simple regression model to predict the waiting time Interpret the meaning of the regression coefficient of the independent variable What is the coefficient of determination? Interpret its meaning.
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- Consider the following ANOVA table for a multiple regression model relating housing prices (in thousands of dollars) to the number of bedrooms in the house and the size of the lot on which the house was built (in square feet). There were 9090 total observations. Estimated Price=20,160.07+2188.83(Bedrooms)+0.2139(Lot Size)Estimated Price=20,160.07+2188.83(Bedrooms)+0.2139(Lot Size) ANOVA dfdf SSSS MSMS F� Significance F� Regression 22 306,443.7975306,443.7975 153,221.8988153,221.8988 21.727421.7274 2.2211E-082.2211E-08 Residual 8787 613,525.5190613,525.5190 7052.01757052.0175 Total 8989 919,969.3165919,969.3165 What percent of variation in housing prices is explained by the number of bedrooms and lot size? Round your answer to two decimal placesConsider the following ANOVA table for a multiple regression model relating housing prices (in thousands of dollars) to the number of bedrooms in the house and the size of the lot on which the house was built (in square feet). There were 7979 total observations. Estimated Price=20,206.07+2567.28(Bedrooms)+0.2110(Lot Size)Estimated Price=20,206.07+2567.28(Bedrooms)+0.2110(Lot Size) ANOVA dfdf SSSS MSMS F� Significance F� Regression 22 347,853.9414347,853.9414 173,926.9707173,926.9707 19.665619.6656 1.3090E-071.3090E-07 Residual 7676 672,159.9040672,159.9040 8844.20938844.2093 Total 7878 1,020,013.84541,020,013.8454 Compute the adjusted coefficient of determination for this regression model. Round your answer to four decimal placesBased on the ANOVA table given, is there enough evidence at the 0.050.05 level of significance to conclude that the linear relationship between the independent variables and the dependent variable is statistically significant? ANOVA Source df SS MS F Significance F Regression 3 212.987150 70.995717 1.092713 0.448523 Residual 4 259.887850 64.971963 Total 7 472.875000
- consider the partially completed ANOVA table showing the results of a regression analysis shown;In order to determine a realistic price for a new product that a company wants to market the company’s research department selected 10 sites thought to have essentially identical sales potential and offered the product in each at a different price. The resulting sales are recorded in the accompanying table: Price ($) Sales ($1,000s) 15.00 15 15.50 14 16.00 16 16.50 9 17.00 12 17.50 10 18.00 8 18.50 9 19.00 6 19.50 5 c). Find the equation of the sample regression line using Minitab. d). Interpret the meaning of the coefficients of the equation of the sample regression line.Interpret the assocfation between agea nd math scores in the univariate regression model, and is the association between them significant? How much variance in math score is explained by age in the univariate regression model?
- A sample of n = 120 scores were presented using the Tenacity (authority) scores to the following predictors: age gender, SES, tone of voice, and clothing. Using a two-tailed test at the 0.05 level of significance, a multiple regression analysis was computed: 1. tenacity and age (pvalue = 0.043); 2. tenacity and gender (pvalue = 0.102); 3. tenacity and SES (pvalue = 0.40); Using the pvalue, provide your DECISION, whether: Accept Ho or Reject Ho, Accept HaA sample of n = 120 scores were presented using the Tenacity (authority) scores to the following predictors: age gender, SES, tone of voice, and clothing. Using a two-tailed test at the 0.05 level of significance, a multiple regression analysis was computed: 1. tenacity and age (pvalue = 0.043); 2. tenacity and gender (pvalue = 0.102); 3. tenacity and SES (pvalue = 0.40); 4. tenacity and voice (pvalue = 0.001); 5. tenacity and clothing (value = 0.017); SOrs Using the pvalue, provide your DECISION, whether:Accept Ho or Reject Ho, Accept HaSarah 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
- Consider the following ANOVA table for a simple linear regression. Source Sum Degrees of freedom Mean Square F Regression 6789.5 1 6789.5 181.6 Error 336.5 Total 7126.0 10 What is the value of the mean square error for this regression analysis?consider the coefficient estimates of the following market model linear regression of general motors (gm) on the S&P500 market returns coefficient estimate std error tvalue pr(>ItI) intercept 0.005860 0.0003704 1.582 0.12412 sp500 0.0904753 0.266702 3.392 0.00196 The number of observations is 32.At the 1% significance level, what is the (1)test statistic value,(2) the critical values (3) decision regarding the null hypothesis that the beta coefficient on the market returns is equal to 1.61A multiple regression analysis produced the following tables. Predictor Coefficients StandardErrort Statistic p-valueIntercept -139.609 2548.989 -0.05477 0.957154x 24.24619 22.25267 1.089586 0.295682x 32.10171 17.44559 1.840105 0.08869Source df SS MS F p-valueRegression 2 302689 151344.5 1.705942 0.219838Residual 13 1153309 88716.07Total 15 1455998Using = 0.01 to test the null hypothesis H :?1 = ?2 = 0, the critical F value is ____.6.701.964.845.995.70