A point would be 1

Question

asked 2021-08-12

A $150,000 loan with $3000 in closing costs plus 1 point requires an advance payment of

asked 2021-08-12

An office telephone system cost $32,000.00 with an estimated residual value of $2,000.00. The system has an estimated useful life of 5 years. Using the sum-of-the-yearsâ€™-digits method, the amount of depreciation for the fourth year is

asked 2021-09-08

A bank finds that the estimated proportion of clients defaulting on a loan, given the interest rate is below \(\displaystyle{15}\%\), is 0.34, They also find that the estimated proportion of clients defaulting on a loan, given the interest is greater than or equal to \(\displaystyle{15}\%\), is 0.52.

a) What is the odds ratio of defaulting given the interest rate is greater than or equal to \(\displaystyle{15}\%\) relative to the interest rate is lower than \(\displaystyle{15}\%\)? Interpret this odds ratio.

b) If we were to analyze this data using the following logistic regression model, what are the estimates of \(\displaystyle\beta_{{{0}}}\) and \(\displaystyle\beta_{{{1}}}\)? Show your work.

\(\displaystyle{l}{g}{\left\lbrace{\left({\frac{{{p}}}{{{1}-{p}}}}\right)}\right\rbrace}=\beta_{{{0}}}+\beta_{{{1}}}{x}\)

Where p is the probability of defaulting on a loan and x is an indicator variable that is 1 when the interest rate is greater than or equal to \(\displaystyle{15}\%\) and 0 when the interest rate is less than \(\displaystyle{15}\%\).

a) What is the odds ratio of defaulting given the interest rate is greater than or equal to \(\displaystyle{15}\%\) relative to the interest rate is lower than \(\displaystyle{15}\%\)? Interpret this odds ratio.

b) If we were to analyze this data using the following logistic regression model, what are the estimates of \(\displaystyle\beta_{{{0}}}\) and \(\displaystyle\beta_{{{1}}}\)? Show your work.

\(\displaystyle{l}{g}{\left\lbrace{\left({\frac{{{p}}}{{{1}-{p}}}}\right)}\right\rbrace}=\beta_{{{0}}}+\beta_{{{1}}}{x}\)

Where p is the probability of defaulting on a loan and x is an indicator variable that is 1 when the interest rate is greater than or equal to \(\displaystyle{15}\%\) and 0 when the interest rate is less than \(\displaystyle{15}\%\).

asked 2021-05-14

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.

\(\begin{array}{|c|c|}\hline 11.8 & 7.7 & 6.5 & 6 .8& 9.7 & 6.8 & 7.3 \\ \hline 7.9 & 9.7 & 8.7 & 8.1 & 8.5 & 6.3 & 7.0 \\ \hline 7.3 & 7.4 & 5.3 & 9.0 & 8.1 & 11.3 & 6.3 \\ \hline 7.2 & 7.7 & 7.8 & 11.6 & 10.7 & 7.0 \\ \hline \end{array}\)

a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. \([Hint.\ ?x_{j}=219.5.]\) (Round your answer to three decimal places.)

MPa

State which estimator you used.

\(x\)

\(p?\)

\(\frac{s}{x}\)

\(s\)

\(\tilde{\chi}\)

b) Calculate a point estimate of the strength value that separates the weakest \(50\%\) of all such beams from the strongest \(50\%\).

MPa

State which estimator you used.

\(s\)

\(x\)

\(p?\)

\(\tilde{\chi}\)

\(\frac{s}{x}\)

c) Calculate a point estimate of the population standard deviation ?. \([Hint:\ ?x_{i}2 = 1859.53.]\) (Round your answer to three decimal places.)

MPa

Interpret this point estimate.

This estimate describes the linearity of the data.

This estimate describes the bias of the data.

This estimate describes the spread of the data.

This estimate describes the center of the data.

Which estimator did you use?

\(\tilde{\chi}\)

\(x\)

\(s\)

\(\frac{s}{x}\)

\(p?\)

d) Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa. [Hint: Think of an observation as a "success" if it exceeds 10.] (Round your answer to three decimal places.)

e) Calculate a point estimate of the population coefficient of variation \(\frac{?}{?}\). (Round your answer to four decimal places.)

State which estimator you used.

\(p?\)

\(\tilde{\chi}\)

\(s\)

\(\frac{s}{x}\)

\(x\)

\(\begin{array}{|c|c|}\hline 11.8 & 7.7 & 6.5 & 6 .8& 9.7 & 6.8 & 7.3 \\ \hline 7.9 & 9.7 & 8.7 & 8.1 & 8.5 & 6.3 & 7.0 \\ \hline 7.3 & 7.4 & 5.3 & 9.0 & 8.1 & 11.3 & 6.3 \\ \hline 7.2 & 7.7 & 7.8 & 11.6 & 10.7 & 7.0 \\ \hline \end{array}\)

a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. \([Hint.\ ?x_{j}=219.5.]\) (Round your answer to three decimal places.)

MPa

State which estimator you used.

\(x\)

\(p?\)

\(\frac{s}{x}\)

\(s\)

\(\tilde{\chi}\)

b) Calculate a point estimate of the strength value that separates the weakest \(50\%\) of all such beams from the strongest \(50\%\).

MPa

State which estimator you used.

\(s\)

\(x\)

\(p?\)

\(\tilde{\chi}\)

\(\frac{s}{x}\)

c) Calculate a point estimate of the population standard deviation ?. \([Hint:\ ?x_{i}2 = 1859.53.]\) (Round your answer to three decimal places.)

MPa

Interpret this point estimate.

This estimate describes the linearity of the data.

This estimate describes the bias of the data.

This estimate describes the spread of the data.

This estimate describes the center of the data.

Which estimator did you use?

\(\tilde{\chi}\)

\(x\)

\(s\)

\(\frac{s}{x}\)

\(p?\)

d) Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa. [Hint: Think of an observation as a "success" if it exceeds 10.] (Round your answer to three decimal places.)

e) Calculate a point estimate of the population coefficient of variation \(\frac{?}{?}\). (Round your answer to four decimal places.)

State which estimator you used.

\(p?\)

\(\tilde{\chi}\)

\(s\)

\(\frac{s}{x}\)

\(x\)