Q1. Calculate the slope and intercept of the estimated regression line based on the data from Table 1 (5 points). Postulate a regression model of the form Estriol = a+b(Birthweight). No. Birthweight (g) Estriol (mg/24 hr) 1 1800 8 2 1900 9 3 2000 10 4 2100 11 5 2200 12 6 2300 13 7 2400 14 8 2500 15 9 2600 16 10 2700 17 11 2800 18 12 2900 19 13 3000 20 14 3100 21 15 3200 22 16 3300 23 17 3400 24 18 3500 25 19 3600 26 20 3700 27 21 3800 28 22 3900 29 23 4000 30 24 4100 31 25 4200 32 26 4300 33 27 4400 34 28 4500 35 29 4600 36 30 4700 37
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Step 1: To calculate the slope (b) and intercept (a) of the regression line Estriol = a + b(Birthweight), we can use the first and last data points from the table. Show more…
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Greene and Touchstone conducted a study to relate birth weight and Estriol level in pregnant women, as given in Table 1: Table 1: Sample Data from Greene and Touchstone study relating birth weight and estriol Q1. Derive the estimated regression line for the data. Q2. What is the estimated average birth weight if a pregnant woman has an estriol level of 15 mg/24 hr? Q3. If low birth weight is defined as ≤2500 g, for what estriol level would the predicted birth weight be 2500 g? Q4. Fit a linear regression model based on the data using R. Q5. Test for the significance of the regression line derived for the birthweight–estriol data.
Lien L.
Greene and Touchstone conducted a study to relate birth weight and Estriol level in pregnant women as given in Table-1: Table: 1 Sample Data from Greene and Touchstone study relating birth weight and estriol. i Estriol (mg/24 hr) xi Birth weight(g/100) yi i Estriol (mg/24 hr) xi Birth weight(g/100) yi 1 7 25 17 17 32 2 9 25 18 25 32 3 9 25 19 27 34 4 12 27 20 15 34 5 14 27 21 15 34 6 16 27 22 15 35 7 16 24 23 16 35 8 14 30 24 19 34 9 16 30 25 18 35 10 16 31 26 17 36 11 17 30 27 18 37 12 19 31 28 20 38 13 21 30 29 22 40 14 24 28 30 25 39 15 15 32 31 24 43 16 16 32 Q1. Derive the estimated regression line for the data. (2 points) Q2. What is the estimated average birth weight if a pregnant woman has an estriol level of 15 mg/24 hr? (2 points) Q3. If low birth weight is defined as ≤2500 g, for what estriol level would the predicted birth weight be 2500 g? (2 points) Q4. Fit a linear regression model based on the data using R. (2 points) Q5. Test for the significance of the regression line derived for the birthweight-estriol data. (2 points)
Shyam P.
Q1. Consider a study to relate birthweight (y) to the estriol level (x) of pregnant women. The data is below with 32 observations. i Estriol (mg/24hr) Weight (g/100) i Estriol (mg/24hr) Weight (g/100) 1 7 25 17 17 32 2 9 25 18 25 32 3 9 25 19 27 34 4 12 27 20 15 34 5 14 27 21 15 34 6 16 27 22 15 35 7 16 24 23 16 35 8 14 30 24 19 34 9 16 30 25 18 35 10 17 31 26 17 36 11 19 30 27 18 37 12 21 31 28 20 38 13 24 30 29 22 40 14 15 28 30 25 39 15 15 32 31 24 43 16 16 32 32 27 35 Calculate the correlation coefficient r. (5 points) Estimate the equation of the regression line that best describes the relationship between birthweight and the estriol level of pregnant women (Assume that the dependent variable is birthweight). (5 points) Is the coefficient (β) of birthweight significantly different than zero at significance level 0.05? (10 points)
Madhur L.
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