Physics students are performing a lab where they allow a ball to roll down a romp and record the are shown below
Time
3.0
3.8
0
1.0
1.5
Distance
126 172 20
0
0.4
1.5
(a) Determine the equation for the line of best ft. Round your coecients to the nearest tenth.
Also, determine the correlation coefficient Round it to the nearest hundredth
olex -3.1
w wie
TO
(b) Using your calculator, produce a scatter plot of this data set along with the line of best Do
your best job to sketch it below. Label the WINDOW you used,
Xmin=1
xmay 10
Vmint
(c) Calculate the residual for the data point (2.0,56). Show your calculation below.
ymar 10
5.6-8 214
KSP
y= 5.6(2)-3.2
y=8
(d) Create a graph of the residuals using your calculator Draw a sketch of the graph below,
showing the Window and the approximate location of the points. Make sure to turn off your
other scatter plot and the line of best fit Sketch the residual plot to the right
(e) Is the linear model appropriate for this data set given the residual plot? Explain below.