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<br />'- ,.~ <br /> <br />The aver2ge size of all backwaters ranged from 285 m2 at 5,260 cfs <br />to 527 m at 1,101 cfs. <br /> <br />Linear Regression <br /> <br />Linear regressions of flow vs. area were analyzed for flows from <br />1,101 to 2,42j cfs for the Island Park, Jensen, and Ouray sites. <br />The 5,260 cfs flow was deleted because it was far outside the range <br />of 1,101 to 2,423 cfs and is not considered a realistic flow <br />scenario for the summer season. The 1,430 cfs flow was also <br />deleted at the Sand Wash site only, as this flow had not reached <br />the site when the photography was acquired. Regression of <br />backwater flow vs. area indicates two different relationships <br />occurred. Significant, negative correlations occurred at the <br />Island Park and Jensen sites (P = 0.05). Figures 4 and 5 show the <br />regression lines at the Island Park (r = -0.87) and Jensen (r = <br />-0.91) sites, respectively. These regressions indicate that as <br />flow decreased backwater area increased. <br /> <br />Figures 6 and 7 show the regression lines at the Ouray (r = +0.29) <br />and Sand Wash (r = -0.39) sites, respectively. There was no <br />correlation between flow and area at these two sites. For all four <br />sites combined (with the 5,260 and 1,430 cfs flows deleted), a <br />significant (P = .05) negative correlation existed between flow and <br />backwater area. Figure 8 shows the regression line for the <br />combined upper site totals (r = -0.91). <br /> <br />Comparability of relationships within the four upper sites was <br />analyzed. The hypothesis that relationships were equal was <br />rejected (P = 0.10), which is sufficient to question that the <br />correlations were equal. Furthermore, when the Island Park and <br />Jensen sites were paired and the Ouray and Sand Wash sites were <br />paired, it is apparent that the correlations between flow and <br />backwater area were more alike than expected by chance. The pooled <br />correlation for the Island Park and Jensen pair was -0.88 (P <br /><0.01), and +0.17 (P >0.05) for the Ouray and Sand Wash pair. The <br />statistical difference between the two pairs was highly significant <br />(P <0.02), indicating the relationship between flow and backwater <br />area for the Island Park and Jensen pair was statistically <br />different from the Ouray and Sand Wash pair. Consequently, <br />backwater area can reliably be predicted from flow (between 2,423 <br />and 1,101 cfs) for the Island Park and Jensen sites, but cannot be <br />predicted for Ouray and Sand Wash. <br /> <br />Regression analyses of flow vs. backwater number indicate there was <br />no significant relationship at any site (P = .05). However, at a <br />lower significance level (P = .10), both the Island Park site and <br />the combined four upper sites had significant correlation <br />coefficients. <br />