Work out the following problem by hand. Consider the overdetermined system [1/1][x]= [9/5] whose coefficient matrix obviously ha
s full rank.
a. Before you do anything else, guess the least-squares solution of the system.
b. Calculate a full QR decomposition of the coefficient matrix, where Q is 2 × 2 and R is 2 × 1. Use the QR decomposition to calculate the least-squares solution. Deduce the norm of the residual without calculating the residual directly.
a. Before you do anything else, guess the least-squares solution of the system.
b. Calculate a full QR decomposition of the coefficient matrix, where Q is 2 × 2 and R is 2 × 1. Use the QR decomposition to calculate the least-squares solution. Deduce the norm of the residual without calculating the residual directly.
1 answer:
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Answer:
The 90% confidence interval is 0.575 to 0.625.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval
, we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of .
For this problem, we have that:
90% confidence interval
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval is 0.575 to 0.625.