Question

Number 4 only. I think the answer is yes but I’m having trouble explaining why.

Done 1 of 3 B Identify all factors, factor levels, and factor-level combinations. C What type of study design is being implemented here? 3 Consider a one-way ANOVA setup with three levels of an experimental factor, and with sample size n 15 Use R to obtain a randomization of treatments to experimental units, in such a way that someone else could duplicate your particular random assignment. Include your R code and output in your answer 4 (KNNL5 Problem 16.2) A market researcher, having collected data on breakfast cereal expenditures by families with one, two, three, four, or five children living at home, plans to use an ordinary regression model to estimate the mean expenditures at each of these five family size levels. However, the researcher is undecided between fitting a linear or a quadratic regression model, and the data do not give clear evidence in favor of one model or the other. A colleague suggests: "Fo ANOVA mode." Is this a useful suggestion? Explain. r your purposes, you might simply use an 西

Answer 1

Let us first understand about ANOVA (Analysis of Variance) :

It is a mathematical tool or technique by which the total variability inherent in the data is analysed into different components such that each component measures variation due to some independent cause or factor. It is consists in estimating variation due to independent causes and the comparing it with variation due to some unknown causes called error component.

or in other words,

It is a collection of statistical model and used to analyze the difference among group mean in a sample.

Now,considering on question number 4;

Ans: Yes ,

Here, in above case ANOVA model can be use because here our target is to analyse the variability on breakfast cereal expenditures between the families having one, two, three, four or five children living at home.

In this case, we can find the their group means among five families and then analyse the difference among them with respect to expenditures using ANOVA model .

While fitting a linear regression model will require for dependent variable and independent variable and

Quadratic regression model is used to state the relation between two set of variables .It is just a extended form of Linear Regression Model .