Can you please explain how to solve this practice problem?

(14 points) Birth weight and gestational age. The Child Health and Development Studies considered pregnancies among women in the San Francisco East Bay area. Researchers took a random sample of 50 pregnancies and used statistical software to construct a linear regression model to predict a baby's birth weight in ounces using the gestation age (the number of days the mother was pregnant). A portion of the computer output and the scatter plot is shown below. Round all calculated results to four decimal places. Coefficients Estimate Std. Error t value Pr(>|t|) Intercept -46.6622 53.1313 -0.8782 0.3842 gestation 0.6025 0.1911 3.1532 0.0028 Residual standard error: 17.9834 on 48 degrees of freedom Multiple R-squared: 0.1716, Adjusted R-squared: 0.1543 Birthweight in ounce: 100 120 140 160 30 240 260 280 300 G: static n age 1. Use the computer output to write the estimated regression equation for predicting birth weight from length of gestation. Birth weight = + * gestation 2. Using the estimated regression equation, what is the predicted birth weight for a baby with a length of gestation of 270 days? 3. The recorded birth weight for a baby with a gestation of 270 days was 122 ounces. Complete the following sentence: The residual for this baby is . This means the birth weight for this baby is ? c the birth weight predicted by the regression model. 4. Complete the following sentence: % of the variation in ? c can be explained by the linear relationship to ? c . Do the data provide evidence that gestational age is associated with birth weight? Conduct a t-test using the information given in the R output and the hypotheses H021=0VS.HAZ10 3. Test statistic = 4. Degrees of freedom = 5. P-value = 6. Based on the results of this hypothesis test, there is ? c of a linear relationship between the explanatory and response variables. 7. Calculate a 99% confidence interval for the slope, l . ( . )