Question

Question 4. Researchers at ICU seek to establish the influence of the (Pre- pregnancy Weights of Mothers) X, on the (Birth weights of their Infants) Y. The following linear regression model was computed. The correlation coefficient was found to be r= 0.5212. Interpret this result and the meaning of the key statistical findings in the tables below.

Source	Ss                             df                            MS
Model Residual	1406178.99                          1                     1406178.99 3769489.01                         23                    163890.826
Total	5175668                              24                     215652.833

Number of obs = 25

F (1,23)               =   8.58

Prob > F              =   0.0075

R- Squared         =   0.2717

Adj R- Squared =   0.2400

  Root   MSE         =    404.83

Infantsbirthw ~g	Coef. Std. Err. t p> I t I        [ 95% Conf.      Interval ]
Mothers weight kg_cons	30.79427 10.51304 2.93 0.008 9.046458 52.54207 1501.304 633.3279 2. 37 0.27 191.1656 2811.443

Answer 1

Rsquared for model is around 0.27 which means alonly around 27% of variation in Y is explained by X. The model is significant because p value of overall model is around 0.008 which is less than 0.05.Hence the model is significant at 5% level of significance.

The model doesn't seem to fit linear as correlation is already in mid range around 0.5.So the overall results doesn't look quite satisfying.

The bottom table have jumbled values so It is difficult to understand them.