The followings are the questions I have trouble to answer. I am appreciated your

Question

The followings are the questions I have trouble to answer. I am appreciated your help. May I ask if you provide a step by step explanation, please? Thanks!

True/ False:

1.

If we reject the null hyp othesis in a one-way ANOVA, there is evidence
to suggest all pairs of treatment means are unequal.

2.

In a two-way ANOVA, the numb er of degrees of freedom for treatments
is calculated in the same way as that for a one-way ANOVA.

3.

In a simple linear regression problem, bas ed on a data set of 12 ordered
pairs (xi, yi), i = 1, 2, ..., 12, we use t-test to test H0 : 1 = 0 vs.
Ha
: 1 6= 0 at the 0.05 level. Then the rejection region is given by
|t| > 2.228.

4.

In general, the method of fitting multiple-regression models is different
from that of fitting the simple straight-line models.

5.

The categorical data analyses of Chapter 13 are useful when the data
collected represent counts of observations falling into various levels of
the variables of the experiment.

If we reject the null hypothesis in a one-way ANOVA, there is evidence to suggest all pairs of treatment means are unequal. (a) True (b) False In a two-way ANOVA, the number of degrees of freedom for treatments is calculated in the same way as that for a one-way ANOVA. (a) True (b) False In a simple linear regression problem, based on a data set of 12 ordered pairs (ai, yi), i 1,2 12, we use t-test to test Ho Bi 0 vs. Ha B1 0 at the 0.05 level. Then the rejection region is given by tl 2.228. (a) True (b) False In general, the method of fitting multiple-regression models is different from that of fitting the simple straight-line models. (a) True (b) False The categorical data analyses of Chapter 13 are useful when the data collected represent counts of observations falling into various levels of the variables of the experiment (a) True (b) False

Explanation / Answer

1) False. In anova, the alternative hypothesis states that atleast one of the pair of means are not equal. Therefore it doesnt provide evidence to suggest all pairs of means are unequal.

2) True. The degrees of freedom for treatments is number of levels in a factor minus one. It is the same for both

3) True. df = n-2 = 10 and a two sided t test, tcrit = +-2.228

4) True, multiple regression is an extension of simple linear regression

Note: More info is required for the 5th question.(categorical data analysis of chapter 13)

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