Given are five observations for two variables, and y. Excel File: data14-25.xlsx The estimated regression equation is û = 7.6 +0.9x. a. What is the value of the standard error of the estimate (to 4 decimals)? b. Test for a significant relationship by using the t test. Use a = 0.05. What is the value of the t test statistic (to 2 decimals)? X What is the p-value? Use Table 2 of Appendix B. Select your answer - What is your conclusion (α = 0.05)? Cannot conclude a significant relationship exists between x and y c. Use the F test to test for a significant relationship. Use α = Compute the value of the F test statistic (to 2 decimals). = 0.05. What is the p-value? Use Table 4 of Appendix B. - Select your answer - What is your conclusion? - Select your answer - X Yi 2 7 6 9 13 20 18 9 26 23

Given are five observations for two variables, and y. Excel File: data14-25.xlsx The estimated regression equation is û = 7.6 +0.9x. a. What is the value of the standard error of the estimate (to 4 decimals)? b. Test for a significant relationship by using the t test. Use a = 0.05. What is the value of the t test statistic (to 2 decimals)? X What is the p-value? Use Table 2 of Appendix B. Select your answer - What is your conclusion (α = 0.05)? Cannot conclude a significant relationship exists between x and y c. Use the F test to test for a significant relationship. Use α = Compute the value of the F test statistic (to 2 decimals). = 0.05. What is the p-value? Use Table 4 of Appendix B. - Select your answer - What is your conclusion? - Select your answer - X Yi 2 7 6 9 13 20 18 9 26 23

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 1TU: The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t=...

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The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.
The following estimated regression equation relating sales to inventory investment and advertising expenditures was given. ŷ = 21 + 13x1 + 9x2 The data used to develop the model came from a survey of 10 stores; for those data, SST = 19,000 and SSR = 14,630. (a)For the estimated regression equation given, compute R2. R2 = 0.77 (b)Compute Ra2. (Round your answer to two decimal places.) Ra2 = ?? (c) Does the model appear to explain a large amount of variability in the data? Explain. (For purposes of this exercise, consider an amount large if it is at least 55%. Round your answer to the nearest integer.) The adjusted coefficient of determination shows that ?? ( not 71)% of the variability has been explained by the two independent variables; thus, we conclude that the model does explain a large amount of variability.
Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 4 6 6 11 13 Develop the estimated regression equation by computing the values of b0 and b1 using b1 = Σ(xi − x)(yi − y) Σ(xi − x)2 and b0 = y − b1x. ŷ = (e) Use the estimated regression equation to predict the value of y when x = 2.
Given are five observations for two variables, and . Excel File: data14-25.xlsx 2 6 9 13 20 x 7 18 9 26 23 y The estimated regression equation is . a. What is the value of the standard error of the estimate (to decimals)? b. Test for a significant relationship by using the t test. Use .What is the value of the t test statistic (to decimals)? What is the -value? Use Table 2 of Appendix B. - Select your answer -between 0.01 and 0.02between 0.02 and 0.05between 0.05 and 0.10between 0.10 and 0.20between 0.20 and 0.40greater than 0.40less than 0.01Item 3 . What is your conclusion ()? - Select your answer -Conclude a significant relationship exists between x and yCannot conclude a significant relationship exists between x and yItem 4 c. Use the test to test for a significant relationship. Use . Compute the value of the test statistic (to decimals). What is the -value? Use Table 4 of Appendix B. - Select your answer -between 0.01 and 0.025between 0.025 and 0.05between…
Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes. These data provided the estimated regression equation ŷ = 28,240 − 1,419x. For these data, SSE = 7,209,342.96 and SST = 50,969,800. Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level of significance. -Find the value of the test statistic. (Round your answer to two decimal places.)
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Given below are results from the regression analysis where the dependent variable is the number of weeks a worker is unemployed due to a layoff (Unemploy) and the independent variables are the age of the worker (Age), the number of years of education received (Edu), the number of years at the previous job (Job Yr), a dummy variable for marital status (Married: 1=married, 0=otherwise), a dummy variable for head of household (Head: 1=yes, 0=no) and a dummy variable for management position (Manager: 1=yes, 0=no). We shall call this Model 1. The coefficient of partial determination (R2Yj.(All variables except j)) of each of the six predictors are, respectively, 0.2807, 0.0386, 0.0317, 0.0141, 0.0958, and 0.1201. Model 2 is the regression analysis where the dependent variable is Unemploy and the independent variables are Age and Manager. The results of the regression analysis are given. Refer to model 1. Which of the following is the correct null hypothesis to test…
The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4 The values of SST and SSR are 1,801 and 1,758, respectively. (a)Compute R2. (Round your answer to three decimal places.) R2 = (b)Compute Ra2.(Round your answer to three decimal places.) Ra2 = (c) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.    The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.The estimated regression equation provided a good fit as a…
The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4 The values of SST and SSR are 1,807 and 1,757, respectively. (a) Compute R2. (Round your answer to three decimal places.) R2 = (b) Compute Ra2. (Round your answer to three decimal places.) Ra2 = (c) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation. The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.    The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. The estimated regression equation did not provide a good…
Consider the following data for two variables, x and y. x 22 24 26 30 35 40 y 11 20 32 36 40 36 (a) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x. (Round b0 to one decimal place and b1 to three decimal places.) ŷ = ???? (b) Use the results from part (a) to test for a significant relationship between x and y. Use ? = 0.05. Find the value of the test statistic. (Round your answer to two decimal places.) F = ?? Find the p-value. (Round your answer to three decimal places.) p-value = ?? Is the relationship between x and y significant? Yes, the relationship is significant.No, the relationship is not significant.     (c) Develop a scatter diagram for the data. -A scatter diagram has 6 points. The horizontal axis ranges from 20 to 45 and is labeled: x. The vertical axis ranges from 0 to 45 and is labeled: y. Moving from left to right, the leftmost point is at (22, 40), with the next 5 points extending downward in a diagonal…