Babies come in all shapes and sizes when they are born, so we are often interested in what variables may help determine a baby's birthweight. In particular, we want to know if a longer gestational period (in weeks) will increase the baby's birthweight (in grams). A random sample of first-time mothers was selected and for each mother her gestational period and baby's birthweight were recorded. What is the explanatory variable? Select one: O a. birth weight O b. gestational period O c. babies O d. mothers What is the response variable? Select one: O a. birth weight O b. gestational period O c. babies O d. mothersState the appropriate hypotheses (Ho and Ha) in symbols only (you do not need to define the parameter). A v B I IEIf the assumptions are metr which of the following is the correct conclusion in the context of the question? 0 a. We have moderate evidence that there is a linear association between mean birth weight and gestational period. for the population of all rsttime mothers. 0 b. We have moderate evidence that there is a positive linear association between mean birth weight and gestational period. for the population of all rsttime mothers. 0 c. We have moderate evidence that there is no linear association between mean birth weight and gestational period. for the population of all rsttime mothers. 0 d. We have moderate evidence to conclude that there is a positive linear association between mean birth weight and gestational periodr for the population of all rsttime mothers. Regression Equation Birthweight = -1787 + 134.3 GestPeriod Coefficients Term Coef SE Coef T-Value P-Value VIF Constant -1787 2527 -0.71 0.483 GestPeriod 134.3 63.1 2.13 0.039 100 Model Summary S R-sq R-sq[adj) R-sq[pred) 519.765 8.97% 6.99% 0.86% Analysis of Variance Source DF Adj $5 Adj MS F-Value P-Value Regression 1 1224654 1224654 453 0.039 GestPeriod 1 1224654 1224654 4.53 0.039 Error 46 12427146 270155 Lack-of-Fit 4 1312828 328207 1.24 0.309 Pure Error 42 11114318 264627 Total 47 13651800 Fits and Diagnostics for Unusual Observations Obs Birthweight Fit Resid Std Resid 1 3300 3047 253 0.57 X 13 2450 3584 -1134 -2.21 R 42 5220 3719 1501 2.94 R 47 3220 3987 -767 -1.60 X 48 4270 3987 283 0.59 R Large residual X Unusual X