gaokao 2015 Q4

gaokao · China · fujian-science Linear regression
4. To understand the relationship between annual family income and annual expenditure in a certain community, 5 families were randomly surveyed, and the following statistical data table was obtained:
Income $x$ (ten thousand yuan)8.28.610.011.311.9
\begin{tabular}{ c } Expenditure $y$ (ten
thousand yuan)
& 6.2 & 7.5 & 8.0 & 8.5 & 9.8 \hline \end{tabular}
Based on the table, the regression line equation $\hat { y } = \hat { b } x + \hat { a }$ can be obtained, where $\hat { b } = 0.76$ and $\hat { a } = \bar { y } - \hat { b } \bar { x }$. Based on this, the estimated annual expenditure for a family in this community with an income of 15 ten thousand yuan is
A. 11.4 ten thousand yuan
B. 11.8 ten thousand yuan
C. 12.0 ten thousand yuan
D. 12.2 ten thousand yuan
4. To understand the relationship between annual family income and annual expenditure in a certain community, 5 families were randomly surveyed, and the following statistical data table was obtained:

\begin{center}
\begin{tabular}{ | c | c | c | c | c | c | }
\hline
Income $x$ (ten thousand yuan) & 8.2 & 8.6 & 10.0 & 11.3 & 11.9 \\
\hline
\begin{tabular}{ c }
Expenditure $y$ (ten \\
thousand yuan) \\
\end{tabular} & 6.2 & 7.5 & 8.0 & 8.5 & 9.8 \\
\hline
\end{tabular}
\end{center}

Based on the table, the regression line equation $\hat { y } = \hat { b } x + \hat { a }$ can be obtained, where $\hat { b } = 0.76$ and $\hat { a } = \bar { y } - \hat { b } \bar { x }$. Based on this, the estimated annual expenditure for a family in this community with an income of 15 ten thousand yuan is\\
A. 11.4 ten thousand yuan\\
B. 11.8 ten thousand yuan\\
C. 12.0 ten thousand yuan\\
D. 12.2 ten thousand yuan