The following table represents the data collected for tree volume (in cm³ ) and diameter-at- breast height (in cm) for sugar maple trees. Tree volume can be predicted by using Dbh. 163 159 197 188 170 175 |Tree volume (cm ³ 159 Dbh (cm) 22.0 25.2 19.8 30.2 | 22.8 25.8 26.4 The summaries of the data are as follows: ΣΧ- 172.2 ΣΥ-1211 ΣΧΥ-29995.6 Σχ4305.56 ΣΥ-210809 (i) Calculate the rank correlation coefficient and comment on your finding. Find the least squares regression line of Y = a + bX. Hence interpret the value of the regression coefficient “b". (ii) (iii) Estimate the tree volume when the dbh is 50 cm. Comment on the reliability of the estimate.

The following table represents the data collected for tree volume (in cm³ ) and diameter-at- breast height (in cm) for sugar maple trees. Tree volume can be predicted by using Dbh. 163 159 197 188 170 175 |Tree volume (cm ³ 159 Dbh (cm) 22.0 25.2 19.8 30.2 | 22.8 25.8 26.4 The summaries of the data are as follows: ΣΧ- 172.2 ΣΥ-1211 ΣΧΥ-29995.6 Σχ4305.56 ΣΥ-210809 (i) Calculate the rank correlation coefficient and comment on your finding. Find the least squares regression line of Y = a + bX. Hence interpret the value of the regression coefficient “b". (ii) (iii) Estimate the tree volume when the dbh is 50 cm. Comment on the reliability of the estimate.

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Description: The following table represents the data collected for tree volume (in cm³ ) and diameter-at-breast height (in cm) for sugar maple trees. Tree volume can be predicted by using Dbh.197175| Tree volume (cm ³ 159Dbh (cm)16315918817022.025.219.830.222.82

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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