Question

Submarines must withstand the tremendous pressure exerted by water. The data given in the table below gives depth and water pressure measurements collected by a submarine on a recent dive. Depth (m) 0 30 50 60 90 100 Pressure (kPa) 100 350 650 700 850 1150

(A) Using your calculator, find a line of best fit for this equation. List the equation for the line, along with the coefficient of correlation and p-value. Round your values to two decimal places.

(B) Interpret the meaning of the slope and y-intercept of the line. What do they mean physically?

(C) On a single set of axes, plot the data points from the table along with your line of best fit. Be sure to include clear axis labels and a sensible axis scaling.

Answer 1

A) Regression line :

Pressure = 99.1607 + 9.7122 * Depth

Coefficient of correlation = 0.9795

P value = 0.0006274

B) Interpretation of slope -

Whenever there is unit increase in the depth, there will be 9.7122 (kPa) increases in pressure and vice versa.

Interpretation of y intercept -

  The intercept ( labeled the constant) is the expected mean value of Y when all X=0. The y-intercept (that is, the point when x = 0) also refers to the starting value.

Simply when depth = 0 then y intercept is 99.1607 . It is only point of contact on y axis. PL??