Supply the answers to the incorrect answers. Please write the question # and the question part (ex. 1a, 1b, 2a, 2b, etc...).

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Given are five observations for two variables, x and y. The estimated regression equation is if = 0.8 + 2.63: a. Compute the mean square error using the following equation (to 3 decimals). 0 b. Compute the standard error of the estimate using the following equation (to 3 decimals). 0 c. Compute the estimated standard deviation In using the following equation (to 3 decimals). 0 d. Use the t test to test the following hypotheses (a = 0.05 ): Hot1=0 Ha:l70 Compute the value of the t test statistic (to 2 decimals). 0 Use Table 2 of Appendix B to find the pvalue. The pvalue is between 0.02 and 0.05 v Q0. What is your conclusion? Conclude a significant relationship exists between x and y V] w \fe. Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format. Complete the F table below. Give the Sum of Squares to 1 decimal, the Mean Squares to 3 decimals, F ratio to 2 decimals and the p-value to 4 decimals. Do not round intermediate calculations. Source of Variation Degrees of Freedom Sum of Squares Mean Square F p-value Regression 0 Q 0 0 0 Error 0 0 0 Total 0 a What is your conclusion, based on this F test? Conclude a significant relationship exists between x and y VI w Given are five observations for two variables, :1: and y. Excel File: data 1425.xlsx 3731-2691320 311' 7 18 9 26 23 The estimated regression equation is if = 7. 6 + 0. 993. a. What is the value of the standard error of the estimate (to 4 decimals)? 0 b. Test for a signicant relationship by using the t test. Use a = 0.05. What is the value of the t test statistic (to 2 decimals)? 0 What is the p-value? Use Table 2 of Appendix B. between 0.10 and 0.20 V 9. What is your conclusion (a = 0.05)? I Cannot conclude a signicant relationship exists between x and V V] M c. Use the F test to test for a significant relationship. Use a = 0.05. Compute the value of the F test statistic (to 2 decimals). (3 What is the p-value? Use Table 4 of Appendix B. greater than 0.10 v M What is your conclusion? I Cannot conclude a signicant relationship exists between x and V V] M \fThe following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is 11} = 24.706 + 0.33933. Brand Price Score Bose 180 78 Scullcandy 150 79 Koss 85 65 Phillips/O'Neill 80 57 Denon 70 50 NC 45 26 a. Does the t test indicate a significant relationship between price and the overall score? Compute the value of the t test statistic. Use a = 0.05 t = 0 (to 2 decimal places.) Use Table 2 of Appendix B to find the pvalue. The pvalue is between 0.01 and 0.02 v 9 What is your conclusion? Use a = 0.05. There is a significant relationship between price and overall scor b. Test for a significant relationship using the F test. Use Table 4 of Appendix B. pvalue is between 0.01 and 0.025 v M What is your conclusion? Use a = 0.05. ., v w 0-05. we 9 H. .. w- c. Show the ANOVA table for these data. Round your answers to three decimal places, if necessary. Do not round intermediate calculations. Source of Sum of Degrees of Variation Squares Freedom Mean Square F p-value (to 4 decimals) Rsrssssns o o o o 0 Error 0 0 0 Total 0 0 In the table below ratings data on m = the quality of the speed of execution and y = overall satisfaction with electronic trades provided the estimated regression equation 3) = 0.2781 + 0.8897m (AAII website). Brokerage Speed Satisfaction Scottrade, Inc. 3.8 3.7 Charles Schwab 2.7 3.1 Fidelity Brokerage Services 3.3 3.1 TD Ameritrade 2.8 2.3 E*Trade Financial 3.0 3.4 Vanguard Brokerage Services 3.2 2.7 USAA Brokerage Services 3.6 4.0 Thinkorswim 3.1 2.7 Wells Fargo Investments 4.0 3.7 Interactive Brokers 2.7 2.8 Zecco.com 2.8 2.7 At the 0.05 level of significance, test whether speed of execution and overall satisfaction are related. Show the ANOVA table. What is your conclusion? Source Sum of Squares Degrees Mean Square F p-value of Variation (to 4 decimals) of Freedom (to 4 decimals) (to 2 decimals) (to 4 decimals) Regression O 0 0 Q 0 Error 0 O 0 Total 0 0 P-veue M We \\'0 reject H0 : ,31 = 0, we conclude that speed of execution and overall satisfaction \\'9 related. Consider the following data on production volume (1:) and total cost (y) for a particular manufacturing operation. Excel File: data 14-29.x|sx Production Volume (units) Total Cost ($) 400 4,000 450 5,000 550 5,400 600 5,900 700 6,400 750 7,000 The estimated regression equation is 3) = 1246.67 + 7.63:. Use a = 0.05 to test whether the production volume is significantly related to the total cost. Complete the ANOVA table. Enter all values with nearest whole number, except the F test statistic (to 2 decimals) and the pvalue (to 4 decimals). Source of Degrees of Sum Mean Variation Freedom of Squares Square F p-value Regression 0 0 0 0 0 Error 0 0 Q Total 0 0 What is your conclusion? Conclude production volume and total cost are related V M \fThe following data on X = weight (pounds) and y = price ($) for ten roadracing bikes provided the estimated regression equation 3;? = 28,574 14391? (Bicycling website). For these data SSE = 7,102,922.54 and SST 2 52,120,800. Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level of significance. Click on the datafile logo to reference the data. DATA, Calculate the value of the test statistic (to 1 decimal). The p-value is M. Use Table 4 of Appendix B. What is your conclusion? conclude that weight and price are related. V w \fIf your answer is zero, enter "0". a. Select a scatter diagram with the car mileage on the horizontal axis and the price on the vertical axis. 1. Price ($1000s) 18 16 14 12 10 20 40 60 80 100 120 Miles(1000s)Scatter diagram 1 V w b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? Negative relationship v w c. Develop the estimated regression equation that could be used to predict the price ($10005) (to 4 decimals). Q = 0 0 a: d. Test for a significant relationship at the 0.05 level of significance (to 3 decimals). pee: 0wee- e. Did the estimated regression equation provide a good fit? 9 f. Provide an interpretation for the slope of the estimated regression equation (to 4 decimals but dollar value to the nearest cent). Enter negative values as negative numbers. The slope of the estimated regression is 0. Therefore, every additional 1,000 miles on the car's odometr will result in a $ 0 M in the predicted price. 9. Suppose that you are considering purchasing a previously owned 2007 Camry that has been driven 60,000 miles. Using the estimated regression equation developed in part (c), predict the price for this car (round to nearest dollar). is 0 Is this the price you would offer the seller? No v9