Please show work for all the parts step by step and don't use excel of R studio because it need to be done by hand and show all work...more clarification: 1a) compute the slope and intercept without using correlation. For 1b), do the 5 steps for a test of slope not correlation. And all work should be 4 decimals places.. it's a biostatistics class..thank you!

1. A student undertakes a project to determine the effect of carbon dioxide on respiration rate using the following methodology. A volunteer inhaled air from a bag containing a predetermined amount of carbon dioxide (measured in torr, a standard unit of at- mospheric pressure) and the number of breaths per minute was recorded. Her data is given below: Partial Pressure CO2 Respiration rate (tcorr) (breaths/min) 30 8.1 32 8.0 34 9.9 36 11.2 38 11.0 40 13.2 42 14.6 44 16.6 46 16.7 48 18.3 50 18.2 (a) Find the line of best fit. (b) Use an hypothesis test (full 5 steps) to test whether or not the slope belongs in the model. (c) Calculate the 95% confidence interval for the slope (d) What is the predicted respiration rate for 48 torr? (e) What is the predicted repiration rate for 38 torr? (f) Calculate and interpret R2