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(a)
To find the equation of the regression line for predicting the number of twin births.
(a)
Answer to Problem 5RE
ˆTwin births=−5119588.874+2618.3× Years .
Explanation of Solution
The table for the number of twins born in the United States increasing numbers are given in the question. For calculating the regression line we will use the Excel. First we will select the data given in the question and then go to the insert tab and select the
ˆTwin births=−5119588.874+2618.3× Years
(b)
To explain in this context what the slope means.
(b)
Explanation of Solution
The table for the number of twins born in the United States increasing numbers are given in the question. Then the regression line would be as,
ˆTwin births=−5119588.874+2618.3× Years
Thus, from the regression line, we can interpret the slope of the line as that every year the amount of twin births should increase by approximately by 2618.3 .
(c)
To predict the number of twin births in the united states for the year 2010 and comment on your faith in that prediction.
(c)
Answer to Problem 5RE
There are 143102.90 twin births in the year 2010 .
Explanation of Solution
The table for the number of twins born in the United States increasing numbers are given in the question. Then the regression line would be as,
ˆTwin births=−5119588.874+2618.3× Years
Thus, to predict the number of twin births in the united states for the year 2010 , it is calculated as,
ˆTwin births=−5119588.874+2618.3× Years=−5119588.874+2618.3×2010=143102.90
Thus, there are 143102.90 twin births in the year 2010 . This prediction is possible but not likely to be exact because there is a curve in the graph and the value is an extrapolation.
(d)
To comment on the residual plot.
(d)
Explanation of Solution
The table for the number of twins born in the United States increasing numbers are given in the question. Then the regression line would be as,
ˆTwin births=−5119588.874+2618.3× Years
We will now use the Minitab to find the residual plot. From the Stat menu, choose Regression. From the Regressionsubmenu, select Regression again. In the Regression dialog, enterthe response variable name in the “Response” box and thepredictor variable name in the “Predictor” box. To specify savedresults, in the Regression dialog, click Storage. Check “Residuals”and “Fits.” Click OK. To specify displays, in the Regressiondialog, click Graphs. Under “Residual Plots,” select “Individualplots” and check “Residuals versus fits.” Click OK. Now back inthe Regression dialog, click OK. Minitab computes the regressionand the requested saved values and graphs.
Thus, from the residual plot, we can say that the residual show a definite curve so the scatterplot is not linear.
Chapter PII Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
Additional Math Textbook Solutions
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A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
College Algebra with Modeling & Visualization (5th Edition)
Pre-Algebra Student Edition
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