Hot Water Problem: Tim put some water in a saucepan and then turned the heat on high. Figure 8-4g and the table show the temperature of the water in degrees Celsius at various times in seconds since he turned on the heat. 49 35 62 40 76 45 89 50 103 55 117 60 131 65 145 70 161 75 176 80 190 85 205 90 Figure 8-4g a. Run a linear regression on temperature as a function of time. Record the correlation coefficient. Plot the regression equation and a scatter plot of the data on the same screen. Does the fit of the line to the data confirm the fact that the correlation coefficient is so close to 1? b. Make a residual plot. Sketch the result. How does the residual plot tell you that there is something in the heating of the water that the linear function does not take into account? What real-world reason do you suppose causes this slight nonlinearity? c. Based on the linear model, at what time would you expect the water to reach 100C and boil? Based on your observations in part b, would you expect the water to boil sooner than this or later than this? Explain.

Participating or non-participating Issued with different rankings Advantages of preference shares Fixed interest borrowings but they are an equity finance instrument Assist in maintaining debt to equity ratio Widen a company’s equity base, which allows further debt to be raised also Dividends may be deferred on cumulative shares and not paid on non-cumulative shares, while interest on debt must be paid Convertible notes Are a hybrid instrument, issued for a fixed term at a stated rate of interest, either by direct placement or pro-rata to shareholders Holder h