Statistics- What model would you recommend for fitting the data

QUESTION

1. For the x-independent and y-dependent variables listed below,No.12345678910x39432164574728753452y65785282928973985675a)b)c)d)e)f)g)h)i)Calculate the mean of x and y.Calculate Σxi2, Σyi2 , and Σ xi yi.Estimate the slope (m) and intercept (c) by the least squares method.Plot the data points and the regression linesWhat is the residual value when x = 47?What is the sum of squares for error?What is the degree of the freedom?Calculate the variance of the data.Determine whether a linear relationship exists between x and y by using the nullhypothesis.j) Find a 95 percent confidence interval for c based on the data.k) Find a 95 percent confidence interval for the expected value of y at x = 50.l) Calculate the correlation coefficient.2. The data in the table-below give the moisture contents of samples in a core taken from asmall inlet on the Gulf Coast in eastern Virginia. The measurements were taken immediatelyafter the samples were removed from the core barrel and forced dried.Depth (ft)0.10000.20000.30000.40000.50000.60000.70000.80000.90001.00001.10001.20001.30001.40001.50001.60001.70001.80001.90002.0000a)b)c)d)e)f)Moisture(gram/kg dried solid)12.716712.876012.501912.969712.410513.390112.867113.033113.828813.837313.345413.279014.156213.380713.311213.403812.643112.318011.264911.3883Perform least squares linear regression on this data.Plot the data and linear regression model.Does the model fit the data?Use ANOVA to quantify (c) above.Calculate the correlation coefficient.What model would you recommend for fitting the data?

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