Consider the following data set that contains information about a sample of ten cigarette smokers that recorded their average number of cigarettes smoked per day and their life span. average number of cigarettes smoked per life span (years) day (cigarettes) 10 70 12 69 A W N 13 63 15 62 5 16 61 17 60 7 19 57 8 21 56 9 22 52 10 28 51 The scatter plot that summarizes the data with regard to the average number of cigarettes smoked per day as the input variable and the life span as the output variable is provided below. Ife span . (years ) a. Is there an association between the two variables? If yes, is it positive or negative? There appears to be a positive association v between the two variables. b. Use technology to find the equation of the line of best fit, y = mx + b, and the coefficient of determination and interpret the slope, the vertical intercept, and the coefficient of determination. (Round the answers to 3 decimal places.) i. m = Select an answer y is the Select an answermummmmm... \"mum WW\" a. Is there an association between the two variables? If yes, is it positive or negative? There appears to be between the two variables. b. Use technology to find the equation of the line of best fit, y : mm + b, and the coefficient of determination and interpret the slope, the vertical intercept, and the coefficient of determination. (Round the answers to 3 decimal places.) i.m=Disthe I Select an answer VI ; hub: Dme Select an answer v ; iii.1'2 = D hence there is a linear relation. c. Use the line of best fit to: i. estimate the life span of a cigarette smoker whose average number of cigarettes smoked per day is 21.5 cigarettes. Answer: D years (Round the answer to the nearest unit.) ii. estimate the average number of cigarettes smoked per day of with the life span 55.5 years. Answer: D cigarettes (Round the answer to the nearest unit.) 0 Question 1 v Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places) 0 Question 3 v Write an equation in the form y = ms: + b for the following table: 0 Question 4 v At a .05 significance level with a sample size of 40, find the critical value for the correlation coefficient 0 Question 5 v A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=1.281 b=23.973 r2=0.450241 =o.571 Use this to predict the number of situps a person who watches 3.5 hours of TV can do (to one decimal place) 0 Question 6 v Use linear regression to find the equation for the linear function that best fits this data. Round both numbers to two decimal places. Write your final answer in a form of an equation y : mm + b 0 Question 7 v The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. Inn-\"mm w = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.86:1: + 4.11. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Use the equation with the values rounded to two decimal places to make your predictions. A) How many murders per 100,000 residents can be expected in a state with 4.6 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 6.4 thousand automatic weapons? Answer = Round to 3 decimal places