Name__________________________________________________Line of Best Fit 1
For each problem, make a scatter plot of the data, estimate a trend line, write the equation for
the line of best fit (solved for y), and answer the questions, when asked, to make predictions.
1)
x
Y
0
11
2
8
3
7
7
2
8
0
a) Is a linear model a reasonable fit for this data?
b) Write the equation for the line of best fit:
c) Use your equation for the line of best fit to predict the value of y, when x = 12.
2) The numbering system used in Europe for shoe sizes is different from the system used in
the US. Use the table to create a model for converting between systems.
US Size (x)
European Size
(y)
1
31
3
34
5
36
7
39
9
41
11
44
a) Write the equation for the line of best fit:
b) Use your equation to find the European equivalent of US size 8.
M. Murray
HA2
3) The following data shows the number of cable TV subscribers (in millions) over time. *USE
X = 0 TO REPRESENT 1980
Year
Millions of
subscribers
1980
17.7
1985
39.9
1990
54.9
1995
60.0
a) Write equation for the line of best fit:
b) Use your equation to estimate the number of cable subscribers in the year 2000.
4) The following graph shows the mass in grams in a select number of apples.
In this graph, you are
given the equation for
the line of best fit in
y = mx + b form, where
m is the slope and b is
the y-intercept. Use
this equation to find the
mass in grams of a gross
of apples. (Hint: 1
gross = 144 apples).
M. Murray
HA2