Suppose that a particle moves along a straight line with velocity v (t) = 62t, where 0 < t <3 (v(t) in meters per second, t in seconds). Find the displacement d (t) at time t and the displacement up to t = 3. d(t) ds = ["v (s) da = { The displacement up to t = 3 is d(3)- meters.

Let f (x) = x², a 3, and b = = 4. Answer exactly. a. Find the average value fave of f between a and b. fave b. Find a point c where f (c) = fave. Enter only one of the possible values for c. c=

The following data represent total ventilation measured in liters of air per minute per square meter of body area for two independent (and randomly chosen) samples. Analyze these data using the appropriate non-parametric hypothesis test

each column represents before & after measurements on the same individual. Analyze with the appropriate non-parametric hypothesis test for a paired design.

Should you be confident in applying your regression equation to estimate the heart rate of a python at 35°C? Why or why not?

Given your fitted regression line, what would be the residual for snake #5 (10 C)?

Calculate the 95% confidence interval around your estimate of r using Fisher’s z-transformation. In your final answer, make sure to back-transform to the original units.

Calculate Pearson’s correlation coefficient (r) between temperature and heart rate.

Calculate the least squares regression line and write the equation.