Question Group D $($Questions $2126)$

The data for this problem are from n $=435$ small mouth bass from West Bearskin Lake in Minnesota. The data collected were age in years and fish length in centimeters. The data file is called bass$2.$txt$.$ Here is the code to load it into R and check to make sure it loaded correctly. I have given you the code below with explanation of what is does in the green font below so that you can load the data into R and get it into a format for analysis.

$>$ bass$=$read.table$("$C:$\backslash \backslash$Users$\backslash \backslash$gadbury$\backslash \backslash$OneDrive $-$ Kansas State University$\backslash \backslash$Stat $703$A FS$2023\backslash \backslash$bass$2.$txt$",$header$=$T$)$

# I am reading a txt file here. You can use the read.csv command and change

# $.$txt to $.$csv in the above command and read the csv file instead.

#You will need to alter the path for your computer so that R can find #the data file. Note the double backslashes that are required.

$>$ dim$($bass$)$ # Number of observations is $435$ and two columns

$[1]4352$

$>$ bass$[1$:$5,]$ # Show the first $5$ observations. The columns are Age and Length

Age Length

$1171$

$2164$

$3157$

$4168$

$5172$

$>$ attach$($bass$)$ #This command allows direct access to the variables, Age and Length

# This command is required to be executed for this code to work correctly.

$>$ Agef$=$as$.$factor$($Age$)$ #I am naming an object Agef to be a factor variable for Age

#This is also a required command

$$

$>$ is$.$factor$($Agef$)$ #This confirms that Agef is a categorical variable with $7$ levels

$[1]$ TRUE

$>$ levels$($Agef$)$

$[1]"1""2""3""4""5""6""7"$ #There are $7$ levels of this factor variable

You now have your data ready to analyze. You will have two variables, Agef and Length. Length is numeric and Agef is a factor variable. We will assume that the assumptions for ANOVA have been met.

Analyze the data using Length as the numeric response variable and Agef as an explanatory factor variable.