MATH 131 1/2021 Lab 7 The goal of this lab is to test the linear correlation between the two Quantitative Variables from Lab 1; to find the equation of the regression line for the variables; and to use the line for prediction. Important Note: The interpretation of computer output is part of this lab, but the output itself is not sufcient to complete this lab. You may use the scatter plot from the computer but it must be titled and labeled appropriately. Answers must be given in complete sentences. (1 point each) 1. Consider the relationship between the two quantitative variables from Lab 1. The data can be represented as ordered pairs (x, y) where x is the independent or explanatory variable and y is the dependent or response variable, When you choose x and y, consider if changes in one variable explain or even cause changes in the second variable? Call the explanatory (predictor) variable x and the response variable y. If you don't see such a relationship, choose V2 forx and V3 for y. Use Excel or Minitab to construct a scatter plot for your 40 ordered pairs of data Clearly label your graph and attach to this lab, . Comment about the information shown in the scatter plot, in terms of any apparent linear correlation, Do you think the correlation is positive, negative or close to 0? Explain, Find the value for r, the linear correlation coefficient, using Excel or Minitab. Perform a hypothesis test of the signicance of I (Use a = 005), the linear correlation coefficient. Clearly state the null and alternative hypothesis. State your conclusion clearly and completely Does your answer agree with your response to #2 above? Regardless of the significance of the correlation coefficient from #3 above, write the equation of the regression line, using Excel or Minitab. Should you use this line for prediction purposes? Why or why not? 1