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.
Use the properties of logarithms, given that In(2) = 0.6931 and In(3) = 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (Round your answers to four decimal places.)
(a) In(0.75)
(b) In(24)
(c) In(18)
1
(d) In
≈
2
72
Find the indefinite integral. (Remember the constant of integration.)
√tan(8x)
tan(8x) sec²(8x) dx
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