REGRESSION AND CORRELATION

Assignment 7: Regression and Correlation For each of the following relationships, state which variable is the independent variable and which is the dependent variable, also state whether you expect the correlation to be positive or negative. The age of manufacturing equipment and the number of rejects produced by the equipment. Average outdoor temp and the number of days a ski hill is open during a Winter. Number of hours worked and total pay received during a two week period. Number of kilometers driven and age of car. For each of the situations below, explain the nature of the correlation suggested (if there is one) and whether the regression is a good model for the data. A line of best fit with y = 0.884 and r = -0.94. A line of best fit with , = 0.56 and r = 0.75. A line of best fit with y = 0.15 and r = -0.38. For both of the tables on the next page: Create a scatter plot to represent the data. Label both axes. Just by looking at the plotted data, state whether there appears to be a strong correlation between the two variables. Determine the equation of the line of best fit and plot the line on your scatter plot. Determine the coefficients of determination and correlation. Based on the above, explain whether you think there is a correlation. Speculate why or why not there is a correlation