In a recent study, a researcher wanted to find out if smoking have negative effects in health. A study was conducted over 10 years where they analyzed the number of cigarettes people were smoking per week and their life expectancy. The finding are as follows: Number of cigarettes versus life expectancy in years # cigarettes 5 23 25 48 17 8 4 26 11 19 14 35 29 4 23 35 3 life expectancy (years) 80 78 60 53 85 84 73 79 81 75 68 72 58 92 65 62 78   Find the correlation coefficient, r, and explain its strength and direction. Show all the steps to show if there is a correlation between the number of cigarettes   Predict the life expectancy for someone who smokes 20 cigarettes per week, and explain what your answer means. If appropriate, what is the Regression equation (Best-Fit-Prediction-Line) If appropriate, explain the slope

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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In a recent study, a researcher wanted to find out if smoking have negative effects in health. A study was conducted over 10 years where they analyzed the number of cigarettes people were smoking per week and their life expectancy. The finding are as follows:

Number of cigarettes versus life expectancy in years

# cigarettes 5 23 25 48 17 8 4 26 11 19 14 35 29 4 23 35 3
life expectancy (years) 80 78 60 53 85 84 73 79 81 75 68 72 58 92 65 62 78

 

  1. Find the correlation coefficient, r, and explain its strength and direction.
  2. Show all the steps to show if there is a correlation between the number of cigarettes  
  3. Predict the life expectancy for someone who smokes 20 cigarettes per week, and explain what your answer means.
  4. If appropriate, what is the Regression equation (Best-Fit-Prediction-Line)
  5. If appropriate, explain the slope of this line
  6. If appropriate, explain the y-intercept of this line?
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