The index of biotic integrity (IBI) is a measure of the water quality in streams
ID: 3313258 • Letter: T
Question
The index of biotic integrity (IBI) is a measure of the water quality in streams. IBI and land-use measures for a collection of streams in the Ozark Highland ecoregion of Arkansas were collected as part of a study. The data data226.dat gives the data for IBI and the area of the watershed in square kilometers for streams in the original sample with area less than or equal to 70km2 (a) Use numerical and graphical methods to describe the variable IBI. Do the same for area. (Round your answers for x to two decimal places and your answers for s to three decimal places.) IBI area: (b) Run the simple linear regression and summarize the results. (Let x = area and y = IBI. Round your slope, intercept, and r to three decimal places. Round F to two decimal places and your P-value to four decimal places.) Is area of watershed a good predictor for IBI at the 5% significance level? O Yes, the area of watershed is a good predictor for IBI No, there is insufficient evidence to say the area of watershed is a good predictor for IBI Interpret the intercept. The value of IBI when watershed area is 0 O The area of watershed when IBI value is 0 The increase in IBI when the watershed area is increased by one unit The increase in the watershed area when IBI is increased by one unitExplanation / Answer
> area = c(21,29,31,32,34,34,49,52,2,70,6,28,21,59,69,47,8,8,58,54,10,57,18,19,39,49,9,5,14,9,23,31,18,16,21,32,10,26,9,54,12,21,27,23,26,16,26,26,28)
Y = 6.3179 + 0.3539 X after round it is Y = 6.318 + 0.354
F = 9.124 after round 9.12
p = 0.004071 after round 0.0041
r = 0.4032369
Yes the area of watershed id goofd predictor for ibi
The Vlue of ibi when Watershed area is 0
The increase in ibi when the watershed area is increased by one unit
If the P-value is less than 0.05 then we can conclude that the watershed area is a goof predictor for ibi
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