Mathematics Homework Solutions

Accrual basis accounting

It is now July 31st. You are continuing to advise Dr. Leo Krusack on basic accounting procedures. His practice had the following transactions during July. On July 1st, he paid out $1,200 in office rent for the month of July. He purchased a new dental chair for $1,300 cash on July 6th. On July 10th, he purchased $2, ...continues

The following table shows the daily high temperature and maximum market price for electricity during 7 days this last summer. Using the data in the table calculate the regression equation, including the slope and intercept terms, R squared, and the SE of

The following table shows the daily high temperature and maximum market price for electricity during 7 days this last summer. Using the data in the table calculate the regression equation, including the slope and intercept terms, R squared, and the SE of the regression (SE of the estimate). Based on your results, how well does ...continues

Hypotheses testing

A normal tomato will gain an average of 2 ounces per week during the growing season. A sample of 100 tomatoes is given a special hormone to increase their growth. The average weight gain of tomatoes in the sample was 3 ounces with a standard deviation of 1 ounce. Conduct a hypothesis test to determine if the hormone increased ...continues

The real estate data is now in an excel spreadsheet

UPDATE - Part B is the most important - if you are only able to help with that part, please do so. Refer to the Real Estate data, which reports information on homes sold in Denver, Colorado,last year. a. Let selling price be the dependent variable and size of the home the independent variable. Determine the regression e ...continues

Hypotheses testing

2) The U.S. government recently reported that the proportion of people feeling negative about the economy was only 30%. However, a recent poll by CNN/Gallup found that in a sample of 1000 people 450 of them felt negative about the economy. Conduct a hypothesis test to determine if the proportion of people feeling negative abou ...continues

Regression : Interpretation of Intercept and Slope of Regression Line

6) The following regression line shows how the monthly return for the mutual fund TWCUX (Twentieth Century Ultra Fund) is mathematically related to the S&P500 monthly return. TWCUX = -2.61 + 1.27 (S&P500) Explain what both the intercept and slope of the regression line tell you in the context of this problem. Calculate ...continues

Hypothesis Testing, p-Value, Levels of Significance, ANOVA and Correlation Coefficient

5) Suppose the following table shows the number of colds 7 different people got during the typical cold season based on the number of times they washed they washed their hands per day during the cold season. Calculate the correlation coefficient and interpret its meaning as applied to this problem. In addition, using a hypothe ...continues

Regression : Hypotheses Testing and Null and Alternate Hypothesis

A normal tomato will gain an average of 2 ounces per week during the growing season. A sample of 100 tomatoes is given a special hormone to increase their growth. The average weight gain of tomatoes in the sample was 3 ounces with a standard deviation of 1 ounce. Conduct a hypothesis test to determine if the hormone increased ...continues

Ordinary Differential Equation : dy/dx = -y-sinx defined on the domain {x: -pi < x < pi} using 4th order Runge-Kutta.

In the solution of the ODE : dy/dx = -y-sinx defined on the domain {x: -pi < x < pi} using 4th order Runge-Kutta I am trying to provide step-by-step detail of the first two steps (h=pi/30).

Securities : What expected rate of return would a security earn if it had a 0.6 correlation with the market portfolio and a standard deviation of 3 percent?

A portfolio that combines the risk-free asset and the market portfolio has an expected return of 22 percent and a standard deviation of 5 percent. The risk-free rate is 4.9 percent, and the expected return on the market portfolio is 19 percent. Assume the capital-asset-pricing model holds. What expected rate of return would a ...continues

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