Data in the table comes from the NASA Global Climate Change website. It gives the average global temperature, in Celsius, for the given year. Use both rows for your calculations. For this problem, you will see how well year correlates with the average temperature. Let ? be the number of years since 1984 and ? be the average global temperature in degrees Celsius. Year 1984 1986 1988 1990 1992 1994 1996 1998 2000 Temp 0.16 0.18 0.38 0.45 0.22 0.31 0.33 0.61 0.40 Year 2002 2004 2006 2008 2010 2012 2014 2016 2018 Temp 0.63 0.54 0.64 0.54 0.72 0.64 0.75 1.02 0.85 a. Make a scatterplot of the data. Being sure to clearly label each axis. Keep in mind how each variable is defined. Based on this scatterplot, is a linear model reasonable for this data set? Briefly explain. b. Determine the correlation coefficient for this data. Interpret this value in context. c. Determine the coefficient of determination for this data. Interpret this value in context. d.State the regression line for the data. e. What does the model predict was the average global temperature in the year 1997? f. What is the slope of the regression line? Interpret this value in context. g.What is the intercept of the regression line? Interpret this value in context.
Data in the table comes from the NASA Global Climate Change website. It gives the average global temperature, in Celsius, for the given year. Use both rows for your calculations. For this problem, you will see how well year correlates with the average temperature. Let ? be the number of years since 1984 and ? be the average global temperature in degrees Celsius. Year 1984 1986 1988 1990 1992 1994 1996 1998 2000 Temp 0.16 0.18 0.38 0.45 0.22 0.31 0.33 0.61 0.40 Year 2002 2004 2006 2008 2010 2012 2014 2016 2018 Temp 0.63 0.54 0.64 0.54 0.72 0.64 0.75 1.02 0.85 a. Make a scatterplot of the data. Being sure to clearly label each axis. Keep in mind how each variable is defined. Based on this scatterplot, is a linear model reasonable for this data set? Briefly explain. b. Determine the correlation coefficient for this data. Interpret this value in context. c. Determine the coefficient of determination for this data. Interpret this value in context. d.State the regression line for the data. e. What does the model predict was the average global temperature in the year 1997? f. What is the slope of the regression line? Interpret this value in context. g.What is the intercept of the regression line? Interpret this value in context.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
Data in the table comes from the NASA Global Climate Change website. It gives the average global
temperature, in Celsius, for the given year. Use both rows for your calculations. For this problem, you
will see how well year correlates with the average temperature. Let ? be the number of years since
1984 and ? be the average global temperature in degrees Celsius.
Year 1984 1986 1988 1990 1992 1994 1996 1998 2000
Temp 0.16 0.18 0.38 0.45 0.22 0.31 0.33 0.61 0.40
Year 2002 2004 2006 2008 2010 2012 2014 2016 2018
Temp 0.63 0.54 0.64 0.54 0.72 0.64 0.75 1.02 0.85
a. Make ascatterplot of the data. Being sure to clearly label each axis. Keep in mind how
each variable is defined. Based on this scatterplot, is a linear model reasonable for this data set?
Briefly explain.
b. Determine thecorrelation coefficient for this data. Interpret this value in context.
c. Determine the coefficient of determination for this data. Interpret this value in
context.
d.State the regression line for the data.
e. What does the model predict was the average global temperature in the year 1997?
f. What is the slope of the regression line? Interpret this value in context.
g.What is the intercept of the regression line? Interpret this value in context.
temperature, in Celsius, for the given year. Use both rows for your calculations. For this problem, you
will see how well year correlates with the average temperature. Let ? be the number of years since
1984 and ? be the average global temperature in degrees Celsius.
Year 1984 1986 1988 1990 1992 1994 1996 1998 2000
Temp 0.16 0.18 0.38 0.45 0.22 0.31 0.33 0.61 0.40
Year 2002 2004 2006 2008 2010 2012 2014 2016 2018
Temp 0.63 0.54 0.64 0.54 0.72 0.64 0.75 1.02 0.85
a. Make a
each variable is defined. Based on this scatterplot, is a linear model reasonable for this data set?
Briefly explain.
b. Determine the
c. Determine the coefficient of determination for this data. Interpret this value in
context.
d.State the regression line for the data.
e. What does the model predict was the average global temperature in the year 1997?
f. What is the slope of the regression line? Interpret this value in context.
g.What is the intercept of the regression line? Interpret this value in context.
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