Please provide a detailed answer preferably using R.

id toxemia 0 0 0 0 1 0 For the population of low birth weight infants, a significant linear re- lationship was found to exist between systolic blood pressure and gestational age (the data set Lowbwt1.csv, and lowbwt2.txt; these datasets both include vari- ables for the same samples, in the same order, with different but overlap- ping columns). The measurements of systolic blood pressure are saved under the variable name sbp, and the corresponding gestational ages under gestage. Also contained in the data set is the variable name apgarh, the five-minute apgar score for each infant. (The apgar score is an indicator of a child's general state of health five minutes after it is born; although it is actually an ordinal measurement, it is often treated as if it were continuous.) 1 0 0 1 0 0 0 0 0 (a) 0 0 0 0 1 (b) 0 0 0 0 0 headcirc length 27 2. 29 3 30 4 28 5 29 6 23 7 22 8 26 9 27 10 25 11 23 12 26 13 27 14 27 15 26 16 27 17 26 18 29 19 28 20 27 21 25 22 25 23 24 24 31 25 28 26 23 27 26 28 25 29 23 30 28 31 35 32 24 33 33 34 28 35 26 36 26 37 26 38 28 39 29 40 28 27 42 27 43 28 28 45 22 46 22 47 28 48 24 49 28 Create a scatter plot of systolic blood pressure versus five-minute apgar score. Does there appear to be a linear relationship between these two variables? Using systolic blood pressure as the response and gestational age and apgar score as the explanatory variables, fit the multiple linear regression 9 = a+ 32 + Br2. Interpret 1, the estimated coefficient of gestational age. What does it mean in words? Similarly, interpret 32, the estimated coefficient of five-minute apgar score. What is the estimated mean systolic blood pressure for the population of low birth weight infants whose gestational age is 31 weeks and whose five- minute apgar score is 7? est the null hypothesis: gestage birthwt momage 29 1360 37 40 31 1490 34 38 33 1490 32 38 31 1180 37 38 30 1200 29 32 25 680 19 33 27 620 20 38 29 1060 25 30 28 1320 27 29 830 32 32 26 880 26 39 30 1130 29 38 1140 24 39 29 1350 26 37 29 950 25 39 29 1220 25 38 29 980 28 42 33 1480 30 39 33 1250 31 38 29 1250 37 36 28 920 31 38 30 1020 21 34 27 750 21 42 33 1480 30 37 32 1140 23 32 28 670 33 36 29 1150 18 34 28 1030 20 33 29 560 29 37 30 1260 26 36 31 900 23 31 30 620 33 39 31 1440 26 39 29 1350 38 37 27 1170 23 36 27 1170 23 37 27 1170 26 40 32 1420 27 43 31 1475 27 37 28 1200 19 36 30 970 30 38 29 1190 27 39 28 1350 31 31 1460 29 32 27 570 23 32 25 620 35 40 30 1200 27 32 28 660 35 40 28 1280 28 25 830 0 1 0 0 0 0 0 (c) 0 (d) 0 0 0 0 0 0 0 0 0 0 1 H: B2 = 0 (e) at the 0.05 level of significance. What do you conclude? Construct a plot of the residuals versus the fitted values of systolic blood pressure. What does this plot tell you about the fit of the model to the observed data? 0 0 0 1 0 0 0 0 0 id toxemia 0 0 0 0 1 0 For the population of low birth weight infants, a significant linear re- lationship was found to exist between systolic blood pressure and gestational age (the data set Lowbwt1.csv, and lowbwt2.txt; these datasets both include vari- ables for the same samples, in the same order, with different but overlap- ping columns). The measurements of systolic blood pressure are saved under the variable name sbp, and the corresponding gestational ages under gestage. Also contained in the data set is the variable name apgarh, the five-minute apgar score for each infant. (The apgar score is an indicator of a child's general state of health five minutes after it is born; although it is actually an ordinal measurement, it is often treated as if it were continuous.) 1 0 0 1 0 0 0 0 0 (a) 0 0 0 0 1 (b) 0 0 0 0 0 headcirc length 27 2. 29 3 30 4 28 5 29 6 23 7 22 8 26 9 27 10 25 11 23 12 26 13 27 14 27 15 26 16 27 17 26 18 29 19 28 20 27 21 25 22 25 23 24 24 31 25 28 26 23 27 26 28 25 29 23 30 28 31 35 32 24 33 33 34 28 35 26 36 26 37 26 38 28 39 29 40 28 27 42 27 43 28 28 45 22 46 22 47 28 48 24 49 28 Create a scatter plot of systolic blood pressure versus five-minute apgar score. Does there appear to be a linear relationship between these two variables? Using systolic blood pressure as the response and gestational age and apgar score as the explanatory variables, fit the multiple linear regression 9 = a+ 32 + Br2. Interpret 1, the estimated coefficient of gestational age. What does it mean in words? Similarly, interpret 32, the estimated coefficient of five-minute apgar score. What is the estimated mean systolic blood pressure for the population of low birth weight infants whose gestational age is 31 weeks and whose five- minute apgar score is 7? est the null hypothesis: gestage birthwt momage 29 1360 37 40 31 1490 34 38 33 1490 32 38 31 1180 37 38 30 1200 29 32 25 680 19 33 27 620 20 38 29 1060 25 30 28 1320 27 29 830 32 32 26 880 26 39 30 1130 29 38 1140 24 39 29 1350 26 37 29 950 25 39 29 1220 25 38 29 980 28 42 33 1480 30 39 33 1250 31 38 29 1250 37 36 28 920 31 38 30 1020 21 34 27 750 21 42 33 1480 30 37 32 1140 23 32 28 670 33 36 29 1150 18 34 28 1030 20 33 29 560 29 37 30 1260 26 36 31 900 23 31 30 620 33 39 31 1440 26 39 29 1350 38 37 27 1170 23 36 27 1170 23 37 27 1170 26 40 32 1420 27 43 31 1475 27 37 28 1200 19 36 30 970 30 38 29 1190 27 39 28 1350 31 31 1460 29 32 27 570 23 32 25 620 35 40 30 1200 27 32 28 660 35 40 28 1280 28 25 830 0 1 0 0 0 0 0 (c) 0 (d) 0 0 0 0 0 0 0 0 0 0 1 H: B2 = 0 (e) at the 0.05 level of significance. What do you conclude? Construct a plot of the residuals versus the fitted values of systolic blood pressure. What does this plot tell you about the fit of the model to the observed data? 0 0 0 1 0 0 0 0 0