2. The scatterplot shows the relationship between the prevalence of firearm ownership and the death rate due to firearms in the industrialized countries of the World. (Source) Firearms and Death Rates for Industrialized Countries 14 12 10 Firearm Death Rate (per 100,000 people) y = 0.0866x + 0.0524 r2= 0.773 N 20 40 60 80 100 120 140 Firearm Ownership (per 100 people) a) What appears to be the approximate sample size? b) What is the explanatory variable? c) What is the response variable? d) What type of data is the variable "Firearm Death Rate"? (Circle one) Qualitative Quantitative, Discrete Quantitative, Continuous e) The U.S. is the point over in the far right upper corner. Does it appear to be an influential observation? Explain. f) What is the regression equation? g) What is the slope of the linear regression equation? Interpret the slope in the context of the situation.Continuing with the Firearm Data: h) What is the y-intercept of the linear regression equation? Explain why the y-intercept does not make sense in the context of the situation. ) The U.S. has a firearm ownership rate of 120.5 per 100 persons. What would the least-squares regression model predict is the U.S. death rate by firearms (Give 2 decimal places and units) j) The U.S. actually had a death rate of 12.21 deaths per 100,000 people due to firearms. Find the residual (Give 2 decimal places and units). Interpret this value in the context of the situation. k) What is the coefficient of determination? I) Calculate the correlation coefficient. m) What is the strength of the linear relationship between the two variables (circle one)? Strong Positive Moderate Positive Weak Positive No Linear Relation Strong Negative Moderate Negative Weak Negative Non-linear relation n) Interpret the coefficient of determination in the context of the situation.Continuing with the Firearm Data: o) Considering the residual plot, was a linear model appropriate for this data set? Explain. Firearms and Death Rates for Industrialized Countries 2.5 1.5 1 0.5 Residuals 20 40 60 80 100 120 -0.5 Firearm Ownership (per 100 people) 3. A doctor wants to see if a patient's BMI can predict their HDL cholesterol and collects the following data from a random sample of their patients. BMI | HDL Cholesterol Body Mass Index (BMI) is measurement of a person's size that is 20 64 derived from the mass and height of a person. HDL Cholesterol is 21.5 57 the "good" type of cholesterol, higher levels are better. 22 60 Find the following (give 3 decimal places, where necessary) 23.5 67 24 53 a) What is the sample size? 25 51 25.5 65 b) What is the explanatory variable? 26 41 c) What is the response variable? 27 40 27.3 46 d) What is the regression equation? 57 28.8 56 e) What is the correlation coefficient? 30 44 f) What is the coefficient of determination? 30 60 31.5 49 g) What type of relationship appears to exist between these 31.7 40 variables? (Give both strength and direction) 31.9 42 32 36