Please answer all parts

7. [10/28 Points] I DETAILS I PREVIOUSANSWERS I MINTROSTAT910.E.048.NVA Area toast 131 Area Forest 13! Area Forest 13! Area Forest I 13! 21 O 47 29 0 61 31 0 39 32 0 59 34 0 72 34 O 76 49 3 85 52 3 89 2 7 74 7O 8 89 6 9 33 28 10 46 21 10 32 59 11 80 69 14 80 47 17 78 8 17 53 8 18 43 58 21 88 54 22 84 10 25 62 57 31 55 18 32 29 19 33 29 39 33 54 49 33 78 9 39 71 5 41 55 14 43 58 9 43 71 23 47 33 31 49 59 18 49 81 16 52 71 21 52 75 32 59 64 10 63 41 26 68 82 9 75 60 54 79 84 12 79 83 21 80 82 27 86 82 23 89 86 26 90 79 16 95 67 26 95 56 26 100 85 28 100 91 IBI: )7 131: 5 area: )_( area: 5 (a) Use numerical and graphical methods to describe the variable 151. Do the same for area =-x =_x =_ = MY NOTES I ASK YOUR TEACHER The index of biotic integrity (IBI) is a measure of the water quality in streams. 131 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 table below gives the data for 131, the percent of the watershed that was forest, and the area of the watershed in square kilometers for streams in the original sample with watershed area less than or equal to 70km2. . (Round your answers for ; to two decimal places and your answers for s to three decimal places.) (d) State the null and alternative hypotheses for examining the relationship between IBI and area. OHo:o=0; Ha:00 OHo:1=0; Ha:1>0 H0:1=0; Ha:10 OHo:1=0; Ha:10 X (e) Run the simple linear regression and summarize the results. (Let x = area and y = IBI. Round your answers to three decimal places.) y= 52.9 x + .461 | x s = 16.547 x r: .444 x (f) Obtain the residuals and plot them versus area. Residual Area Residual Area Residual Residual Residual Residual Area Is there anything unusual in the plot? The residual plot seems to have a positive linear relationship. There is nothing unusual about the plot. The residual plot seems to have a negative linear relationship. The residual plot shows that there is more variation for small area. The residual plot shows that there is more variation for large area. X (9) Do the residuals appear to be approximately Normal? Give reasons for your answer. The residuals are somewhat left-skewed and not close to Normal. The residuals are completely scattered and not close to Normal. The residuals are somewhat left-skewed but, otherwise close to Normal. The residuals are somewhat right-skewed and not close to Normal. The residuals are somewhat right-skewed but, otherwise close to Normal. X