2. (5 pts) The table below gives the average high temperature, in °F, for Clemson, SC. Month Mar Apr May June July Aug Sept Oct Nov Dec Temp 63 72 80 87 90 89 83 73 64 54 Source: usclimatedata.com a. Look at the scatter plot of the data. Let Mar = 3, Apr 4, etc. What characteristics make a quadratic model an appropriate fit for the data? b. Find a completely defined quadratic model for the given data, T(m). c. Find and interpret T(1) in the context of the problem. d. Did you do interpolation or extrapolation in part c? Is your answer to part c considered reliable? Explain.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Section5.3: Modeling Data With Power Functions
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2. (5 pts) The table below gives the average high temperature, in °F, for Clemson, SC.
Month Mar Apr May June July Aug Sept Oct Nov Dec
Temp 63 72 80 87 90 89 83 73 64 54
Source: usclimatedata.com
a. Look at the scatter plot of the data. Let Mar = 3, Apr 4, etc. What characteristics make a
quadratic model an appropriate fit for the data?
b. Find a completely defined quadratic model for the given data, T(m).
c. Find and interpret T(1) in the context of the problem.
d. Did you do interpolation or extrapolation in part c? Is your answer to part c considered
reliable? Explain.
Transcribed Image Text:2. (5 pts) The table below gives the average high temperature, in °F, for Clemson, SC. Month Mar Apr May June July Aug Sept Oct Nov Dec Temp 63 72 80 87 90 89 83 73 64 54 Source: usclimatedata.com a. Look at the scatter plot of the data. Let Mar = 3, Apr 4, etc. What characteristics make a quadratic model an appropriate fit for the data? b. Find a completely defined quadratic model for the given data, T(m). c. Find and interpret T(1) in the context of the problem. d. Did you do interpolation or extrapolation in part c? Is your answer to part c considered reliable? Explain.
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