Use the Data Shown Below to Answer the Following Question(s)

Use the data shown below to answer the following question(s).
The table below is the data set of the Shiller Real Home Price Index for the years 1946-1956.
$\begin{array}{c|c}\text { Year } & \begin{array}{c}\text { Real Home Price } \\\text { Index }\end{array} \\\hline 1946 & 106.5058955 \\\hline 1947 & 109.3296707 \\\hline 1948 & 101.2225795 \\\hline 1949 & 100.0466076 \\\hline 1950 & 105.8948393 \\\hline 1951 & 103.8986687 \\\hline 1952 & 103.9743275 \\\hline 1953 & 114.7133093 \\\hline 1954 & 114.199126 \\\hline 1955 & 115.4621261 \\\hline 1956 & 115.3166155\end{array}$
-Setting k = 3, determine the value of root mean square of errors.