JMJ For # 1 – 10 write the answers on the space provided. Each question is worth 5 points. # 1-3 Use these answer choices: a) Positive Correlation b) Negative Correlation c) No Correlation 1) What type of correlation does this graph show? 1. ________________ 2) What type of correlation does this graph show? 2. ________________ 3) What type of correlation does this graph show? 3. ________________ # 4-8 Use the following choices to describe the correlation coefficient. a) none b) weak c) moderate d) strong e) positive 4) 5) 6) 7) 8) r = 0.72 r = -0.31 r = 0.89 r = 0.11 r = - 0.99 9) In the equation y = ax + b the b represents? a) slope b) y-intercept f) negative 4. ________________ 5. ________________ 6. ________________ 7. ________________ 8. ________________ c) correlation coefficient 9. ________________ d) variability JMJ Use the following information for this question. It is worth 25 points. 10) The following table gives the gold medal winners for the four-man bobsled teams in the Olympics from 1964 to 2010. Year Time(in minutes) 1964 4.14 1968 2.17 1972 4.43 1976 3.40 1980 3.59 1984 3.20 1988 3.47 1992 3.53 1994 3.27 1998 2.39 2002 3.07 2006 3.40 2010 4.76 a) Create a scatter plot with x = 4 corresponding with 1964. X Min _____________ Y Min ___________ X Max ____________ Y Max ___________ X Scl _____________ Y Scl _____________ b) Use a regression feature to find an equation of best fit. Linear or Quadratic _________________________ Write the equation of best-fit ______________________________________ c) Using the equation of best-fit to predict the best time for the Olympics in 2014 _____________________ d) What is the coefficient of determination? ________________________ e) What is the correlation coefficient? _________________________________________ f) What type of correlation does this graph have? ______________________________________________ JMJ Use the following information for this question. It is worth 25 points. 11) Healthcare costs have been increasing over the years. The following data shows the average cost of healthcare per person from 1976 to 1998: Year Cost(per person) 1976 618 1980 860 1987 1324 1993 1896 1998 2256 a) Create a scatter plot with x = 6 corresponding to 1976. X Min __________ Y Min ___________ X Max __________ Y Max ___________ X Scl ___________ Y Scl ____________ b) Find an equation of a line that best fits ______________________________________________________________ c) Is the line that best fits a linear model or quadratic model? _______________________________________ d) Using the best fit model, when will healthcare reach $2800 a person? ___________________________ e) Between which two years from the chart have the greatest percent increase? __________________ f) According to the best fit model, what is the health care cost for the year 2013? ________________
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