yield = wheat yield in tons per hectare. rainfall = total rainfall in decimeters (dm) in the growing season. year = the year the data was collected.

Fit a simple linear regression model of the form: M 1 : E[yield] = 0 + 1year Is this enough evidence to conclude that the expected yield is increasing over time? Are the assumptions of a linear model met?

Please use python to solve this question and explain the answer. Thank you !

\begin{tabular}{rrrr} & yield & year & rainfall \\ \hline 0 & 1.173539 & 1955 & 6.035 \\ 1 & 1.004679 & 1956 & 4.829 \\ 2 & 1.282168 & 1957 & 4.216 \\ 3 & 1.052535 & 1958 & 4.659 \\ 4 & 0.956868 & 1959 & 2.980 \\ 5 & 1.126942 & 1960 & 4.245 \\ 6 & 0.304742 & 1961 & 3.198 \\ 7 & 1.178047 & 1962 & 4.735 \\ 8 & 0.733351 & 1963 & 6.097 \\ 9 & 0.847971 & 1964 & 5.724 \end{tabular}