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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.2: Trigonometric Equations

Problem 100E

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Question

A group of students measure the length and width of a random sample of beans. They are interested in
investigating the relationship between the length and width. Their summary statistics are displayed in the
table below. All units, if applicable, are millimeters.
Mean width
Standard deviation of width
Mean height
Standard deviation of height
Correlation coefficient
7.594
0.85
15.319
1.646
0.885
Round your answers to three decimal places.
The students are interested in using the width of the beans to predict the height. Calculate the slope of
the regression equation.
Write the equation of the line of best fit that can be used to predict bean heights. Use x to represent
width and y to represent height.
What fraction of the variability in bean heights can be explained by the linear model of bean height vs.
width? Express your answer as a decimal.
If, instead, the students are interested in using the height of the beans to predict the width, calculate the
slope of this new regression equation.
Write the equation of the line of best fit that can be used to predict bean widths. Use a to represent
height and y to represent width.

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