Given are five observations for two variables, x and y. 8 14 18 Yi 50 57 41 16 Use the estimated regression equation: ŷ = 70.8476 – 2.6037x. a. Compute the mean square error using equation. SSE = MSE...


Given are five observations for two variables, x and y.<br>8<br>14<br>18<br>Yi<br>50<br>57<br>41<br>16<br>Use the estimated regression equation: ŷ = 70.8476 – 2.6037x.<br>a. Compute the mean square error using equation.<br>SSE<br>= MSE<br>п — 2<br>(to 4 decimals)<br>b. Compute the standard error of the estimate using equation.<br>SSE<br>S =<br>/MSE<br>(to 4 decimals)<br>c. Compute the estimated standard deviation of b1 using equation.<br>S<br>(æ; – 7)?<br>(to 4 decimals)<br>d. Use the t-test to test the following hypotheses (a = 0.10):<br>Ho: B1<br>= 0<br>Ha: B1 + 0<br>Compute the value of the t-test statistic (Enter negative values as negative numbers).<br>(to 3 decimals)<br>What is the p-value? Use Table 2 from Appendix B.<br>p-value is<br>- Select your answer -<br>20<br>21<br>

Extracted text: Given are five observations for two variables, x and y. 8 14 18 Yi 50 57 41 16 Use the estimated regression equation: ŷ = 70.8476 – 2.6037x. a. Compute the mean square error using equation. SSE = MSE п — 2 (to 4 decimals) b. Compute the standard error of the estimate using equation. SSE S = /MSE (to 4 decimals) c. Compute the estimated standard deviation of b1 using equation. S (æ; – 7)? (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.10): Ho: B1 = 0 Ha: B1 + 0 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) What is the p-value? Use Table 2 from Appendix B. p-value is - Select your answer - 20 21
What is your conclusion?<br>We<br>Select your answer - v Họ.<br>e. Use the F-test to test the hypotheses in part (d) at a 0.10 level of significance.<br>Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the<br>p-value (to 4 decimals).<br>Source<br>Degrees<br>Sum of<br>Mean<br>of Variation<br>of Freedom<br>Squares<br>Square<br>F<br>p-value<br>Regression<br>Error<br>Total<br>What is your conclusion, based on this F test?<br>We<br>- Select your answer - v Họ.<br>

Extracted text: What is your conclusion? We Select your answer - v Họ. e. Use the F-test to test the hypotheses in part (d) at a 0.10 level of significance. Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the p-value (to 4 decimals). Source Degrees Sum of Mean of Variation of Freedom Squares Square F p-value Regression Error Total What is your conclusion, based on this F test? We - Select your answer - v Họ.

Jun 10, 2022
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