Lyme Disease The numbers N of confirmed cases of Lyme disease in Maryland from 2007 through 2014 are shown in the table, where t represents the year, with t = 7 corresponding to 2007. (a) Use a graphing utility to create a scatter plot of the data. (b) Use the regression feature of the graphing utility to find a quartic model for the data. (A quartic model has the form a t 4 + b t 3 + c t 2 + d t + e , where a , b , c , d , and e are constant and t is variable.) Graph the model in the same viewing window as the scatter plot. (c) Use the model to create a table of estimated values of N . Compare the model with the original data. (d) Use synthetic division to confirm algebraically your estimated value for the year 2014.
Lyme Disease The numbers N of confirmed cases of Lyme disease in Maryland from 2007 through 2014 are shown in the table, where t represents the year, with t = 7 corresponding to 2007. (a) Use a graphing utility to create a scatter plot of the data. (b) Use the regression feature of the graphing utility to find a quartic model for the data. (A quartic model has the form a t 4 + b t 3 + c t 2 + d t + e , where a , b , c , d , and e are constant and t is variable.) Graph the model in the same viewing window as the scatter plot. (c) Use the model to create a table of estimated values of N . Compare the model with the original data. (d) Use synthetic division to confirm algebraically your estimated value for the year 2014.
The numbers
N
of confirmed cases of Lyme disease in Maryland from 2007 through 2014 are shown in the table, where t represents the year, with
t
=
7
corresponding to 2007.
(a) Use a graphing utility to create a scatter plot of the data.
(b) Use the regression feature of the graphing utility to find a quartic model for the data. (A quartic model has the form
a
t
4
+
b
t
3
+
c
t
2
+
d
t
+
e
,
where
a
,
b
,
c
,
d
,
and
e
are constant and
t
is variable.) Graph the model in the same viewing window as the scatter plot.
(c) Use the model to create a table of estimated values of
N
.
Compare the model with the original data.
(d) Use synthetic division to confirm algebraically your estimated value for the year 2014.
Definition Definition Representation of the direction and degree of correlation in graphical form. The grouping of points that are plotted makes it a scatter diagram. A line can be drawn showing the relationship based on the direction of points and their distance from each other.
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