Find absolute maximum and minimum values of the function f(x,y)=x^2+2y^2 on the curve ((x^2)/81)+((y^2)/100)=1 where x>=0, y>=0

A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows:

a. Find the sample regression equation for the model: SalaryˆSalary^ = β₀ + β₁Education + ε. (Round answers to 2 decimal places.)

b. Interpret the coefficient for Education.

• As Education increases by 1 year, an individual’s annual salary is predicted to decrease by $4,530.
• As Education increases by 1 year, an individual’s annual salary is predicted to decrease by $8,590.
• As Education increases by 1 year, an individual’s annual salary is predicted to increase by $8,590.
• As Education increases by 1 year, an individual’s annual salary is predicted to increase by $4,530.

c. What is the predicted SalaryˆSalary^ for an individual who completed 8 years of higher education? (Round coefficient estimates to at least 4 decimal places and final answer to the nearest whole number.)

Refer to Table 10-6 below. Calculate this country's real GDP for each of the following years, 2008, 2009, 2010 and 2011.

Find the mean, median, and mode for the scores in the following frequency distribution table:

The mean (to two decimal places) is   , the median is   , and the mode is   .

Based on the three values for central tendency, what is the most likely shape for this distribution of scores?

The distribution is    because the mean is   the median and the median is      the mode.

Answer two (2) of the following essay questions.

1) How do automatic stabilizers, on both the expenditure and revenue sides of the budget, respond when the economy is in 1) a contractionary 2) an expansionary gap?

2) How much should the government 1) increase spending or 2) cut taxes when the economy is in a contractionary gap equal to 500 billion and the MPC equals 0.8.

3) According to the classical school of economists, the economy is self-correcting. Explain why the economy will automatically move to long run equilibrium (potential output) when it is in an expansionary and in a contractionary gap.

4) Give an account of how an increase in government spending can lead to an increase in the trade deficit.

Shell is experiencing rapid growth. Earnings and dividends are expected to grow at a rate of 15% during the next 2 years, at 13% the following year, and at a constant rate of 6% during Year 4 and thereafter. Its last dividend was $1.15, and its required rate of return is 12%.

b) Find the PV of the firm’s stock price at the end of Year 3.

f) Calculate the dividend and capital gains yields for Years 1, 2, and 3.

Dividend Yield Year 1 =   %

Capital Gains Yield Year 1 =   %

Dividend Yield Year 2 =   %

Capital Gains Yield Year 2 =   %

Dividend Yield Year 3 =   %

Capital Gains Yield Year 3 =   %

An experiment was performed to compare the abrasive wear of two different laminated materials. 40 pieces of material 1 were tested by exposing each piece to a machine measuring wear. 100 pieces of material 2 were similarly tested. In each case, the depth of wear was observed. The samples of material 1 gave an average (coded) wear of 85 units with a sample standard deviation of 4, while the samples of material 2 gave an average of 81 with a sample standard deviation of 5. Can we conclude at the 0.05 level of significance that the abrasive wear of material 1 exceeds that of material 2 by more than 2 units? Assume the populations to be approximately normal?

Consider the following data for two variables, x and y.

a. Develop an estimated regression equation for the data of the form y=b₀+b₁x. Comment on the adequacy of this equation for predicting . Enter negative value as negative number.

Using a .05 significance level, the p-value indicates a (- Select your answer -weak, strong or no relationship); note that ______________ (to 1 decimal) of the variability in y has been explained by x.

b. Develop an estimated regression equation for the data of the form y=b₀+b₁x+b₂x² . Comment on the adequacy of this equation for predicting y. Enter negative value as negative number. If your answer is zero, enter "0".

At the a= .05 level of significance, the relationship (- Select your answer - is, is not) _______________ (to 1 decimal) of the variability in y has been explained by x.

c.Using the appropriate regression model, predict the value of y when x=2.

_______________ (to 2 decimals)

(TCO B) The following information pertains to Fox Inc.’s portfolio of marketable securities for the Year ended Dec 31, Year 1 and Dec 31, Year 2.

Note 1: Fox Inc. uses US GAAP
Note 2: Fox Inc. uses valuation accounts to record changes in the fair value of its marketable securities
Note 3: The Martin Co. security was purchase at par value
Note 4: The decline in the value of Martin Co. is considered to be other than temporary

Requirement:
Record the journal entries for the following marketable securities transactions based on the information given in the table.

• (1) Mark to market journal entry for the Smith Co security at 12/31 Year 1
• (2) Mark to market journal entry for the Williams Co security at 12/31 Year 1
• (3) Mark to market journal entry for the Smith Co security at 12/31 Year 2
• (4) Mark to market journal entry for the Williams Co security at 12/31 Year 2
• (5) Journal entry to record purchase of Martin Co. Investment
• (6) Journal entry to record the impairment of Martin Co. Investment

Security 1 ____ %

Security 2 ____ %

Security 3 ____ %

Security 1 ____ %

Security 2 ____ %

Security 3 ____ %

Security 1 & 2  ____

Security 1 & 3 ____

Security 2 & 3 ____

Security 1 & 2 ____

Security 1 & 3 ____

Security 2 & 3 ____

  Security 1 & 2 ____ %

   Security 1 & 2 ____ %
  

Security 1 & 3 ____ %

Security 1 & 3 ____

Security 2 & 3 ____ %    

Security 2 & 3 ____ %