Height 43in. 62 in. 83in. 62 in. 6 9.5 Shoe 9 2.1 Taking confidence level 90% =1-0.90=0.1 10 11 65 in. 68 in. 68 in. 48in 64in 10 12 8 10 4. (CLO 3) Find a correlation between height and shoe size. a. Create a scatterplot of the data. Height is x-axis and Shoe size is y-axis. Attach your scatterplot to the end of this document. 2. Sample mea ( Exi =563 62.56 9 Sample standard deviation (Sx) = 1 {(xi-x) b. Sample mean n-l 11.62 5.595 9 Ty) = Eyl Syn dy Zigi-91" -121 =1.73 C) 90% confidence interval = x = T + (df/xs df=9-1-8 To.95 (8) = 1.86 1--0.95 2df=8 CI= 62.56 1.86 x 11.62 55.36, 69.76] vy d) 90% CI for chee size of population CH= + y = T, Idf )x s Tx dfx x To 9, 181=1.86 9.5 1.6 1.73 = 9.5 1.07 19 b. Find the linear correlation coefficient. What does this tell you about your data? c. Write the equation of the regression line and use it to predict the shoe size of a person that is 68 inches tall. 5. Write a paragraph or two about what you have learned from this process. When you read, see, or hear a statistic in the future, what skills will you apply to know whether you can trust the result?