I'm working on studying for midterms. I'm completing some worksheets to help me study. I'm lost on this number 8. Help?
h) What is the slope of the linear regression equation? 8) A golf pro wants to investigate the relation between the club-head speed of a golf club Interpret the slope in the context of the situation (remember units!). (measured in miles per hour) and the distance (in yards) that the ball will travel. He realizes other variables besides club-head speed determine the distance a ball will travel (such as club type, ball type, golfer, and weather conditions). To eliminate the variability due to these variables, the pro uses a single model of club and ball, one golfer, and a clear, 70-degree day with no wind. a) Which variable is the explanatory variable? What are its units? Club-head Speed Distance i) What is the y-intercept of the linear regression equation? (mph) yards) Explain why the y-intercept does not make sense in the context of the situation. 100 257 102 264 103 274 101 b) Which variable is the response variable? 266 105 What are its units? 277 100 263 99 258 105 275 j) The golf pro had a Club head speed of 106 mph. What does the linear model predict the distance in yards the ball will travel? (Give 2 decimal places and be sure to provide units!) c) What is the correlation coefficient, r? (Give 3 decimal places) d) Given the linear correlation coefficient, what type of relationship exists between the two variables? (Circle one) Strong Positive Moderate Positive Weak Positive k) The actual distance the ball traveled was 285 yards. Compute the residual. (Give 2 decimal places and be sure to provide units!) Strong Negative Moderate Negative Weak Negative No linear relationship e) What is the value of the coefficient of determination? (Give 3 decimal places) f) Interpret the coefficient of determination in the context of the situation 1) What does the residual tell us about how the well the Club-head was performing? g) What is the linear regression equation? (3 dec. places)