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(i) Test for the existence of regression (the F-test). Carefully de ne the null and alternative hypothesis, and explain the result of any R output you obtain.
(ii) Which of the 12 explanatory variables are not signi cantly associated with quality given that the other 11 variables are included in the model?
(iii) Fit the model using the 11 covariates that are signi cantly associated with quality. Calculate the R2 and adjusted-R2 value for your new model, and for the full model that used all 12 covariates. You should have found that R2 decreases upon removal of the unnecessary covariate, but that the adjusted-R2 increased. Explain this nding.
(iv) Carry out a partial F test to decide if inclusion of log(pH) provides a signi cant improvement over the model that just uses the 11 covariates. Repeat this analysis to decide whether adding (density) provides a signi cant improvement. Be sure to carefully de ne the null and alternative hypothesis and the procedure you use to do the test.
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A young couple requires RM30000 for an overseas trip which they want to make in six years time. How much they have to invest now at 18% p.a. compound interest compounded monthly, t
y''(x)=2*10^-6*y(x)(100000-y(x))
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The table summarizes results from a clinical trial (based on data from Pfizer, Inc). Use a 0.05 significance level to test the claim that experiencing nausea is independent of whet
Arrianna spended $5,500 at 7.5% p.a. compounded quarterly for 'n' years. At the end of 'n' years, Arrianna got back $12,000. What is the value of n? (Approximate your answer in yea
If V is the initial speed of the ball at angle of elevation a , if the origin of the coordinate system is chosen to coincide with the propulsion device, then the initial conditi
Below are the conditions specified by the institution: a) If the temperature sensor shows 30 degree Celsius or higher, the air-conditioner will be turned ON regardless of the othe
This is a pen and paper exercise, you are expected to provide a detailed derivation. Follow the procedure outlined in the lectures for construction of a simple averaging by thr
Values from the iteration x = cos(x) are: x 0 = 0.8, x 1 = 0.696707, x 2 = 0.766959, x 3 = 0.720024, x 4 = 0.751790, x 5 = 0.730468. a) Calculate the sequence {y n } fr
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