Question 4 [6 points]: This gure is a screenshot based on a sample of size 1174 from a population of newborn babies on which we have measured both the number of gestational days and the birth weight in ounces. All the questions below can be answered using information found somewhere in the gure. Custom Dataset ' Show Data Table Edit Data Upload File Generate 1 Sample Generate 10 Samples Generate 100 Samples Generate 1000 Samples Reset Plot Bootstrap Dotplot of Slope ~ Original Sample 150 u = \"3'4. 1' = 0.408.510.02 = +0.46?. intercept = ~l'0.?54 samples = 5m mean = 0.469 1M. error = 9.046 C' Left Tail TwoTail C Right Tail 1 25 100 T5 Elm Weighl Gestational Dive Bootstrap Sample Show Data Table 0.950 _ n = H 74. r = 0.403. slope = +0499. intercept = 43.839 50 E 25 E. .15 m 0 - . 0.35 0.40 0.45 D 469 0.50 0.55 0.60 0.65 Gemmm D", 0.381 ' 0.551 (a) Show how to use the information presented here to produce a 95% condence interval for the population slope of the line relating gestational days to mean birth weight. You do not have to complete all relevant calculations; merely show how to set them up. (b) From the original sample, we estimate that every increase of 1 day of gestation results in ounces of additional weight on average. {Fill the blank with a single number.) (0) From the original sample, how many ounces do we estimate that a baby born at 280 days of gestation will weigh, on average? Simply provide a formula that gives the correct answer; do not evaluate this formula