Math 107 - Math in Society Name, Linear Regression Assignment In this project, you will perform regression analysis on data to develop a mathematical model that relates two variables. Then you will use this model to make predictions. We are trying to determine if the statement, "if you shoot on goal you will score" true. The game of hockey is based on passing the puck and shooting at the net. You often hear that if you want to score, you have to shoot on goal. It seems like a logical assumption. You will try to verify if you can truly rely on that statement. The following data was collected from CBS sports for the preseason of 2001. Team Philadelphia Flyers X = Goals -32 29 Y = Shots New Jersey Devils Detroit Red Wings New York Rangers Montreal Canadians Boston Bruins New York Islanders Edmonton Oilers Phoenix Coyotes Ottawa Senators 23 Anaheim Mighty Ducks Toronto Maple Leafs Vancouver Canucks Atlanta Thrashers Washington Capitals Minnesota Wild Calgary Flames 18 Nashville Predators Dallas Stars Los Angeles Kings 222222222222222226TH 231 215 300 24 208 229 24 221 196 23 216 185 192 20 191 21 243 205 23 204 19 179 20 128 175 18 209 17 162 18 163 Page St. Louis Blues 16 115 Pittsburgh Penguins 18 159 Tampa Bay Lightning 15 148 San Jose Sharks 17 195 Florida Panthers 13 166 Chicago Blackhawks 13 196 Carolina Hurricanes 13 174 Buffalo Sabres 14 174 Columbus Blue Jackets 15 217 Colorado Avalanche 12 130 1. Create a scatterplot and draw it on a piece of graph paper or if you are using Excel, print it off from your computers. You need to verify the presence of a relationship between the two variables. Make a scatterplot with these two variables, and show your independent and dependent variables. Label the axes and the graph accordingly (x vs. y). 2. Calculate the regression equation and the correlation coefficient. Add the regression line to your scatterplot. 3. Make Conclusions. Write a one page paper explaining the significance of your results and how you can interpret them. Include the following items in your paper and whatever else you feel relevant. (Please bold the answers to the following questions in your paper.) a) You will need to examine what type of correlation exists. Is there a strong, weak, or no correlation in the data? Use the r value to help you determine this. b) How might your conclusions impact the real world? What sorts of useful applications might you be able to make from your data? GIVE AN EXAMPLE OF HOW YOUR REGRESSION EQUATION CAN BE USED TO PREDICT FUTURE SITUATIONS. Page