13 A FeCl NIIF 12 Tin 011 10s 82m 1 Graph time and distance

13 -A, FeCl NII.F 12 Tin 011) 10s 82m 1) Graph \"time and distance manually on graph paper a) What is the independent & dependent variable b) Is it more of a straight line or curve? c) Is the data show more of a direct d) Determine the slope of the straightest section of the graph, list the units of the slope, and what units represent. e) Determine the type regression & equation for the graph. f) Plug in a value for \"x\" that is not part of the data & determine the value for \"y\" using the regression equation & the \"a\"&\"b\" values given. De an \"\" value that show \"interpolation and an \"x\" value that shows \"extrapolation\" R Using the [Y-J key, see how your graph matches the regression equation. 2) Graph \"time& instantaneous speed\" and answer the same \"a through g\" questions as in the (vi) \"Time & Distance Graph previous graph. Time& Instantaneous Speed Graph\" IO b) 41 Tl me (S

Solution

1) Time-distance plot

a) Time is independant veriable and Distance is dependant veriable

b) It is curve

c) Direct relationship

d) slope = (y₂ -y₁)/(x₂-x₁) = (64-44)/(30-10) = 2 Other slops are 2.4 and 1.6. Unit = m/s

e) Polynomial regression, Equation Y = b₀ + b₁X₁+ b₂X₂²+....

2) Time - speed relationship

a) Time is independant veriable and speed is dependant veriable

b) It is Linear

c) Direct relationship

d) slope = (y₂ -y₁)/(x₂-x₁) = -0.2 Unit = m/s²

e) Polynomial regression, Equation Y = -mX+ C