assignment XXXXXXXXXXfl1jjnyb.pdf ASSIGNMENT 8 DEADLINE OCTOBER 26, 5 PM 1. In the file (input STUDENTID A8 A8Q1.csv) you will find a dataset relating discharge (Q, also called streamflow) to rainfall...

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assignment827538893-fl1jjnyb.pdf ASSIGNMENT 8 DEADLINE OCTOBER 26, 5 PM 1. In the file (input STUDENTID A8 A8Q1.csv) you will find a dataset relating discharge (Q, also called streamflow) to rainfall (P) and potential evapotranspiration (PET) from a river basin. PET is a meteorological variable, indicating the amount of evapotranspiration in case soil water is not a limiting factor. These are daily data. The units for PET and P are mm/day, the units for discharge m3s−1. There are two questions related to this data set: 1. We first want to check how strongly related the discharge is to the rainfall. For this, we will apply a linear regression, and calculate the correlation coefficient. The variable in X-axis is the rainfall, and the variable in Y-axis is the discharge. Calculate all the intermediary statistics you need for this. This means: – Calculate the variance of the precipitation and the discharge, and the covariance between the precipitation and the discharge. – Calculate the SSE, SSR and SST. – Calculate the MSE, MSR, SSX and SY X . – Calculate the correlation between P and Q, and the regression slope and intercept – Perform a Durbin-Watson test for autocorrelation in the residuals. If the number of observations in your data set is larger than the highest number of observations in the Durbin-Watson table, then use the values associated with this highest number of observations. – Calculate the stardard error of the regression slope. – Perform a slope-t test at the 95% confidence level to check whether or not the slope of the is a linear relationship between the rainfall and the discharge is significant. In the Graphical User Interface, CV stands for Critical Value – Calculate the 95% confidence interval for the slope. In the Graphical User Inter- face, CL stands for Confidence Limit. – Calculate the p-value for the slope-t test. – Perform an F -test for significance of the slope at the 1% significance level. 1 – Check whether or not there is a significant correlation between rainfall and dis- charge with 90% confidence. – Find the 99% confidence interval for the mean discharge resulting from 13 mm/day of rain. Also find the 99% confidence interval resulting from and individual rain event of 13 mm/day. 2. We want to perform a bivariate linear regression of the form: Q̂i = b0 + b1Pi + b2PETi (8.1) – Calculate the coefficients b0, b1 and b2, and list all the intermediary parameters (covariances, variances, ...) you have needed for this. – Calculate the SSR, SST , and the coefficient of multiple determination. – Calculate the adjusted R2. – Check whether or not the multiple regression is significant, at the 95% confidence level. – Check whether or not the individual slopes (b1 and b2) are different from zero, at the 95% confidence level. – Calculate the confidence interval for the slopes at the 95% confidence level. 2 flux-week-10-qqvkov12.zip flux week 10/week_10_Au_nc_Ag.xlsx week_10_Au_nc_Ag 2006/6/13597.4728898110.84 2006/6/20567.252881489.97 2006/6/27589.5829278910.37 2006/7/3619.7629250011.17 2006/7/11627.7531268411.15 2006/7/18649.9132427611.06 2006/7/25620.4331563510.96 2006/8/1636.5730490711.4 2006/8/8647.5230909712.29 2006/8/15627.1131332712.04 2006/8/22628.330617112.38 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Answered Same DayOct 24, 2021

Answer To: assignment XXXXXXXXXXfl1jjnyb.pdf ASSIGNMENT 8 DEADLINE OCTOBER 26, 5 PM 1. In the file (input...

Rajeswari answered on Oct 25 2021
157 Votes
Sheet1
    SUMMARY OUTPUT
    Regression Statistics
    Multiple R    0.5290981821
    R Square    0.2799448863
    Adjusted R Square    0.2778757624
    Standard Error    75491.0887307667
    Observations    699
    ANOVA
        df    SS    MS    F    Significance F
    Regression    2    1542081819324.1    771040909662.051    135.2963385632    2.30821984455374E-50
    Residual    696    3966437516518.52    5698904477.75649
    Total    69
8    5508519335842.62
        Coefficients    Standard Error    t Stat    P-value    Lower 95%    Upper 95%    Lower 95.0%    Upper 95.0%
    Intercept    272771.480073624    12219.3566405711    22.3229003046    1.14937246173974E-83    248780.2614564    296762.698690847    248780.2614564    296762.698690847
    Silver price    -4563.2636447635    647.2170744093    -7.0505921818    0    -5833.9955483892    -3292.5317411378    -5833.9955483892    -3292.5317411378
    gold price    225.2810821198    15.0338744202    14.9848984915    3.34911344540424E-44    195.7639006112    254.7982636284    195.7639006112    254.7982636284
Sheet2
    SUMMARY OUTPUT
    Regression Statistics
    Multiple R    0.7811730499
    R Square    0.6102313339
    Adjusted R Square    0.609111309
    Standard Error    4.2713040917
    Observations    699
    ANOVA
        df    SS    MS    F    Significance F
    Regression    2    19880.0651865269    9940.0325932635    544.8372910885    3.9884958190246E-143
    Residual    696    12697.8508961626    18.2440386439
    Total    698    32577.9160826895
        Coefficients    Standard Error    t Stat    P-value    Lower 95%    Upper 95%    Lower 95.0%    Upper 95.0%
    Intercept    1.7941503681    0.9031076506    1.9866406479    0.047353931    0.0210084821    3.5672922541    0.0210084821    3.5672922541
    gold price    0.0198360494    0.0006258299    31.6955919933    3.73141742646298E-137    0.0186073086    0.0210647902    0.0186073086    0.0210647902
    Contract    -0.0000146085    0.000002072    -7.0505921818    0    -0.0000186765    -0.0000105405    -0.0000186765    -0.0000105405
week_10_Au_nc_Ag
        gold price    Contract    Silver price    gold price
    2006/6/13    597.47    288981    10.84    597.47    I    slope of simple linear regression between no of
    2006/6/20    567.25    288148    9.97    567.25        contracts and the fold price.
    2006/6/27    589.58    292789    10.37    589.58
    2006/7/3    619.76    292500    11.17    619.76        X    gold price
    2006/7/11    627.75    312684    11.15    627.75        Y    no of contracts
    2006/7/18    649.91    324276    11.06    649.91
    2006/7/25    620.43    315635    10.96    620.43        Slope    144.3892909849
    2006/8/1    636.57    304907    11.4    636.57
    2006/8/8    647.52    309097    12.29    647.52
    2006/8/15    627.11    313327    12.04    627.11    II    Slope of gold price and silver price
    2006/8/22    628.3    306171    12.38    628.3
    2006/8/29    617.3    307583    12.12    617.3        x    gold price
    2006/9/5    629.25    319998    13.04    629.25        y    silver price
    2006/9/12    595.96    310510    11.32    595.96
    2006/9/19    587    325852    11.14    587        slope    0.0177267406
    2006/9/26    593.07    322937    11.29    593.07
    2006/10/3    595.43    330065    11.44    595.43    III    To find R^2 between silver price and no of contracts
    2006/10/10    579.49    334329    11.38    579.49        r    0.2182588284
    2006/10/17    597.18    329875    11.84    597.18        R^2    0.0476369162
    2006/10/24    580.33    331598    11.62    580.33
    2006/10/31    602.32    323481    12.07    602.32
    2006/11/7    624.99    335036    12.62    624.99    IV    Slope of gold price for multilinear regression
    2006/11/14    625.62    356575    12.87    625.62
    2006/11/21    624.53    355430    12.83    624.53        y    contracts
    2006/11/28    640.05    349517    13.53    640.05        x2    gold price
    2006/12/5    645.9    330530    14.08    645.9        x1    silver price
    2006/12/12    630.69    333101    13.85    630.69
    2006/12/19    617.32    337096    12.57    617.32        b2    225.2811
    2007/1/3    640.97    353494    13.18    640.97
    2007/1/9    613.44    347491    12.38    613.44
    2007/1/16    626.68    344685    12.87    626.68    V    slope of gold price as a function of silver price
    2007/1/23    635.45    361114    12.96    635.45
    2007/1/30    643.69    348035    13.19    643.69        y    silver price
    2007/2/6    650.65    360936    13.5    650.65        x1    gold price
    2007/2/13    662.16    383169    13.72    662.16        x2    no of...
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