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...


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

Extracted 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)

Jun 11, 2022
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