Cabegory Category2 Categary (c) Suppose another model based on the same dataset
ID: 3360890 • Letter: C
Question
Cabegory Category2 Categary (c) Suppose another model based on the same dataset is fitted, with outputs shown below Coet SE Coef Predictor Constant -0.8770 0.5456-1.61 0.111 1.01171 0.03628 27.88 0.000 0.2087 .7406 0.28 0.779 1.7763 .7614 2.33 0.022 -0.10467 0.01229 -8.52 0.000 0.00071 0.01606 0.04 0.965 0.09181 0.01712 5.36 0.000 z2 x 2 S. 1.87262 R-Sq 96.3% R-Sq (adj ) 96.0% . . Analysi8 of Variance DF Source Regression Residual Error 93 326.1 Total MS 6 6584.2 1097.4 3.5 99 6910.3 Conduct a formal test to compare the model in (c) and that in (a) at significance level of 0.05. Write down the better model with estimated coefficients based on your test result. Clearly write down every step in your test. (20) The scatterplots above are (a). I said the model should be y = a + bx because there is evidence of linear regression in each scatterplot.Explanation / Answer
Result:
The scatter plot shows that relation is not linear.
Analysis of variance of F =1097.4/3.5 = 313.5429
Critical value of F at 0.05 level =2.198
Calculated F is > critical F.
Ho is rejected.
The model is significant.