Question: Given are five observations for two variables,X andY. The estimated regression equation isy = 0.2 + 2.6z NEED ANSWER FOR P-VALUE Given are five observations
Given are five observations for two variables,X andY.
The estimated regression equation isy = 0.2 + 2.6z
NEED ANSWER FOR P-VALUE

Given are five observations for two variables, z and y. 1 2 3 4 5 3 7 5 11 14 The estimated regression equation is y = 0.2 + 2.6x a. Compute the mean square error using the following equation (to 3 decimals). 4.133 b. Compute the standard error of the estimate using the following equation (to 3 decimals). 2.033 C. Compute the estimated standard deviation bj using the following equation (to 3 decimals). 0.643 d. Use the t test to test the following hypotheses (or = 0.05 ): Ho : 81 =0 Compute the value of the + test statistic (to 2 decimals). 4.04 0 Use Table 2 of Appendix B to find the p-value. The p-value is |between 0.02 and 0.05 v . What is your conclusion? Conclude a significant relationship exists between x and y e. Use the / 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 1 67.6 67.600 16.35 0.027 Error 3 0 12.4 4.133 Total 4 0 80.0
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