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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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.
197
175
| Tree volume (cm ³ 159
Dbh (cm)
163
159
188
170
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.
(ii)
Find the least squares regression line of Y = a + bX. Hence interpret the value of the
regression coefficient "b".
Estimate the tree volume when the dbh is 50 cm. Comment on the reliability of the
estimate.
(iii)
Transcribed Image Text: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. 197 175 | Tree volume (cm ³ 159 Dbh (cm) 163 159 188 170 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. (ii) Find the least squares regression line of Y = a + bX. Hence interpret the value of the regression coefficient "b". Estimate the tree volume when the dbh is 50 cm. Comment on the reliability of the estimate. (iii)
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