A sociologist has a theory that there is a relationship between childhood obesity and heart disease. The theory is that the greater a child’s weight at age 12, the more likely that person will have a heart attack as an adult. She draws a random sample of adult men and asks them how much they weighed when they were 12 years old and how many heart attacks they have had. She finds the following: Weight Number of Heart Attacks 100 1 90 0 3 130 3 190 4 110 2 160 6 230 9 140 5 210 8
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The data provided includes the weight of adult men at age 12 and the corresponding number of heart attacks they have had. | Weight (lbs) | Number of Heart Attacks | |--------------|-------------------------| | 100 | 1 | | 90 Show more…
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A public health researcher examines the medical records of a group of 937 men who died in 1999 and discovers that 212 of the men died from causes related to heart disease_ Moreover; 312 of the 937 men had at least one parent who suffered from heart disease, and, of these 312 men 102 died from causes related to heart disease.
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3. A family doctor is interested in examining the relationship between a patient's age and total cholesterol. He randomly selects 14 of his female patients and obtains the data presented in the scatter plot below: Simple Linear Regression Simple linear regression results: Dependent Variable: Total Cholesterol Independent Variable: Age Total Cholesterol = 151.35365 + 1.3990642 Age Sample size: 14 R (correlation coefficient) = 0.7178 R-sq = 0.5152521 Parameter estimates: Parameter Estimate Intercept 151.35365 Slope 1.3990642 a. Looking at the following scatterplot of the data, what does it tell you about the relationship between Age and Total Cholesterol Level? b. Find the equation of the least squares line of regression for this data. c. What does the correlation coefficient tell you about the relationship between the patient's Age and their Total Cholesterol Level? d. If a patient is 35, predict their Total Cholesterol Level. e. Are you confident that predictions based on the equation of the least squares line of regression will be quite accurate? Why or why not? f. What percentage of the variation in the Total Cholesterol Level can be explained by the regression on the patient's Age?
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A public health researcher examines the medical records of a group of 937 men who died in 1999 and discovers that 210 of the men died from causes related to heart disease. Moreover, 312 of the 937 men had at least one parent who suffered from heart disease, and, of these 312 men, 102 died from causes related to heart disease. Determine the probability that for a man randomly selected from this group neither of his parents suffered from heart disease, given that the man did not die of causes related to heart disease.
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