board length is the y variable
SUMMARY OUTPUT \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Regression Statistics } \\ \hline Multiple R & 0.771553818 \\ \hline R Square & 0.595295294 \\ \hline Adjusted R Squa & 0.448129946 \\ \hline Standard Error & 0.134289438 \\ \hline Observations & 16 \\ \hline \end{tabular} ANOVA \begin{tabular}{lrrrrrr} \hline & df & & \multicolumn{1}{c}{ SS } & MS & F & Significance F \\ \hline Regression & & 4 & 0.291790126 & 0.072948 & 4.045078 & 0.0295194 \\ Residual & & 11 & 0.198370184 & 0.018034 & & \\ Total & & 15 & 0.49016031 & & & \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|} \hline & Coefficients & Standard Error & t Stat & -value & Lower 95% & Upper 95% \\ \hline Intercept & 3.053753828 & 1.063217207 & 2.872182 & 0.015182 & 0.71362853 & 5.393879123 \\ \hline surfer_age & -0.001015356 & 0.005093301 & -0.19935 & 0.845625 & -0.0122256 & 0.010194923 \\ \hline surfer_gender & 0.418606504 & 0.109922698 & 3.80819 & 0.002902 & 0.17666828 & 0.660544732 \\ \hline surfer_height & -0.65963977 & 0.689317101 & -0.95695 & 0.359154 & -2.1768165 & 0.857536939 \\ \hline surfer_weight & -0.001905137 & 0.003559142 & -0.53528 & 0.60311 & .0 .0097388 & 0.005928482 \\ \hline \end{tabular} 3) Test the statistical significance of the estimated coefficients using the p-value approach. For each test, clearly state the null hypotheses and level of significance () used. Provide an interpretation of the results of the hypothesis tests in words. 4) Interpret the meaning of the estimated coefficients only for those that are statistically significant. Use plain English to explain to someone without statistical knowledge. 5) Write down the prediction model or regression equation \begin{tabular}{|c|c|c|c|c|c|} \hline board_length & surfer_age & - surfer_gender & -1 & ht -1 & surfer_weight - \\ \hline 1.8796 & & 28 & 0 & 1.63 & 59 \\ \hline 1.8288 & & 30 & 0 & 1.58 & 49 \\ \hline 1.8034 & & 38 & 0 & 1.74 & 66 \\ \hline 1.8034 & & 29 & 0 & 1.63 & 53 \\ \hline 2.4384 & & 28 & 1 & 1.72 & 68 \\ \hline 2.2352 & & 53 & 1 & 1.73 & 75 \\ \hline 2.2352 & & 33 & 1 & 1.72 & 69 \\ \hline 2.1336 & & 50 & 1 & 1.78 & 84 \\ \hline 2.1336 & & 36 & 1 & 1.8 & 83 \\ \hline 2.1336 & & 36 & 1 & 1.75 & 78 \\ \hline 2.1336 & & 29 & 1 & 1.76 & 76 \\ \hline 2.032 & & 42 & 1 & 1.87 & 120 \\ \hline 1.9558 & & 36 & 1 & 1.81 & 105 \\ \hline 1.9558 & & 43 & 1 & 1.65 & 70 \\ \hline 1.9304 & & 38 & 1 & 1.85 & 85 \\ \hline 1.9304 & & 27 & 1 & 1.9 & 77 \\ \hline \end{tabular}