EP3. The brake horsepower (HORSE, Y) developed by an automobile engine is though
ID: 3360806 • Letter: E
Question
EP3. The brake horsepower (HORSE, Y) developed by an automobile engine is thought to be a function of the engine speed in revolutions per minute (RPM, x1), the road octane number of the fuel (OCT, x2), and the engine compression (COM, 3). An experiment is run in a laboratory at twelve different times; on each run, the temperature (TEMP, x4) is also recorded. The data from the experiment are below T2 T3 4 2252000 90 100 71.2 212 1800 94 95 70.3 229 2400 88 110 72.3 222 1900 91 96 69.9 219 1600 86 100 73.2 278 2500 96 110 70.0 246 3000 94 98 70.7 237 3200 90 100 70.8 233 2800 88 105 72.1 224 3400 86 97 71.8 223 1800 90 100 71.1 230 2500 89 104 70.6 As a first step, an engineer wanted to consider the full model for i = 1, 2, , 12, where ~ nd N(0, *), or, in matrix notation X + €, where Y is the 12 × 1 response vector, X is the 12 × 5 matrix of covariates, is the 5 × 1 vector of regression parameters, and is a 12 × 1 multivariate normal random vector with mean 0 and variance-covariance matrix 21. Here is the ANOVA table for the full model fit. Analvsis of Variance: FULL model MS Source Model Error Corrected Total 11 3211.00 DF F Pr>F 4 2597.52 649.40 7.41 0.0117 7 613.4887.64Explanation / Answer
from the above anova table it can be interpreted that the p value is greater than 0.01 but less than 0.05.
thus, the model is significant at 5% level of significance whereas it is not significant at 1% level of significance.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.