Housing Prices The data in the table on the right represents the January median new-home prices in the United states for the years shown. ( a ) With a graphing utility, draw a scatter plot of the data. Comment on the type of relation that appears to exist between the two variables. ( b ) Decide on the function of best fit to these data ( linear, quadratic, or cubic ) , and use this function to predict the median new-phone price in the United States for January 2022 ( t = 10 ) . ( c ) Draw the function of best fit on the scatter plot obtained in part ( a ) .
Housing Prices The data in the table on the right represents the January median new-home prices in the United states for the years shown. ( a ) With a graphing utility, draw a scatter plot of the data. Comment on the type of relation that appears to exist between the two variables. ( b ) Decide on the function of best fit to these data ( linear, quadratic, or cubic ) , and use this function to predict the median new-phone price in the United States for January 2022 ( t = 10 ) . ( c ) Draw the function of best fit on the scatter plot obtained in part ( a ) .
Solution Summary: The author explains how to sketch the graph using graphing calculator using the steps below.
Housing Prices The data in the table on the right represents the January median new-home prices in the United states for the years shown.
(
a
)
With a graphing utility, draw a scatter plot of the data. Comment on the type of relation that appears to exist between the two variables.
(
b
)
Decide on the function of best fit to these data
(
linear, quadratic, or cubic
)
, and use this function to predict the median new-phone price in the United States for January
2022
(
t
=
10
)
.
(
c
)
Draw the function of best fit on the scatter plot obtained in part
(
a
)
.
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.
For the following function f and real number a,
a. find the slope of the tangent line mtan
=
f' (a), and
b. find the equation of the tangent line to f at x = a.
f(x)=
2
=
a = 2
x2
a. Slope:
b. Equation of tangent line: y
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