Applications of the scientific method

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A) For the data, set in Exercise 2.1.B, evaluate (XTATB), (BTB), and (BTB - XTATB).

B) Use the results from A-above to evaluate the correlation coefficient (r).

C) Evaluate (XT(ATA) X) and the unbiased .

D) Calculate the variance/covariance matrix of AX = B.

E) Calculate the 95% confidence intervals for the xj Î X.

F) Calculate the eight values of var(i) at i = 1, 16, 32, ..., 128.

G) Calculate 95% confidence intervals on the eight i at i = 1, 16, 32, ..., 128.

H) Graph the model and its 95% confidence envelop on a scatter plot of the data.

I) Make a plot of the residuals and analyze its characteristics.

 

Reference no: EM13762119

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