6. (Stat151 Final Exam OP03 MacEwan University) Using height to predict the length of ring finger. A random sample of 7 students was selected from a statistic class. The data were obtained and recorded in an excel file (we do not need the excel file here), where y denotes the ring finger length (in cm), and x denotes the height (in cm). The summaries of the data are given by y =52, x =1215, y2 =388, x2 =211223, xy = 9054. (12 marks)

a. Identify the predictor and response variables. (2 marks)

b. Find the regression equation for this data. (Round to 4 decimals.) (4 marks)

c. Interpret the slope of the regression line in the context of the study. (2 marks) d. Without calculating the correlation coefficient, r, is r positive or negative? Why?

e. Predict the length of ring finger for a student with height is 170 cm. (2 marks