7. You may recall from science class that when water is heated it expands. Using some very accurate instrumentation, the volume of water in a container was measured at various temperatures. The results of this experiment are shown in the table below: Temperature (0) Volume (ml) 20 50.124 21 50.146 22 50.169 23 50.193 24 50.215 25 50.237 26 50.265 27 50.292 28 50.321 29 50.349 30 50.376 a. i. Using JMP, create a scatter diagram of this data set. Place this scatter diagram on the provided graph paper, or attach it to this doc. ii. Does there appear to be a linear relationship between temperature and volume of water? b. Calculate the regression equation and the sample correlation coefficient. c. Use the regression equation to calculate the predicted value, y', and use these predicted values to calculate the residuals. d. Use JMP to create a residual plot. Place this residual plot on the provided graph paper, or attach it to this doc. e. What does the residual plot reveal to you? Temperature (x) 20 20 Volume (y) 50.124 21 50.146 22 50.169 23 50.193 24 50.215 25 50.237 26 50.265 27 50.292 28 50.321 29 50.349 residual (y-y') RESIDR L 7d. 7c. 20 30 21 22 23 24 25 26 27 28 29 30 TEMPERATURE