A university posts its employees’ salaries at http://cs.armstrong.edu/liang/data/Salary.txt. Each line in the file consists of a faculty member’s first name, last name, rank, and salary Write a program to display the total salary for assistant professors, associate professors, full professors, and all faculty, respectively, and display the average salary for assistant professors, associate professors, full professors and all faculty, respectively.

The jurisdictional shield of the juvenile courts ends at age 18. Research the maturation process of homo sapiens and determine whether or not, according to the scientific evidence, 18 is a good cutoff age. What implications does the result of your research have for driving age, voting age, age to enter the military, and age to drink in your state.

A researcher needs to split 12 plants into two treatment groups of 6 plants each. How many different groupings can be formed?

Verify the statement by showing that the derivative of the right side is equal to the integrand on the left side. $\int\left(-\frac{9}{x^{4}}\right) d x=\frac{3}{x^{3}}+C$

For the description of data, identify the population of interest and the sample. In a study appearing in the journal Science, a research team reports that plants in southern England are flowering earlier in the spring. Records of the first flowering dates for 385 species over a period of 47 years show that flowering has advanced an average of 15 days per decade, an indication of climate warming, according to the authors.

For an analysis of the salaries of your company, you plot the salaries of all employees against the number of years they have worked for the company. You find that plotting the base-10 logarithm of salary makes the plot much straighter. A part-time shipping clerk who has worked at the company for one year earns $10,000. A manager earns$150,000 after 15 years with the firm. The CEO, who founded the company 30 years ago, receives $1,250,000. What are the values you will plot? Will the plot of these three points be straight enough?

For an analysis of the salaries of your company, you plot the salaries of all employees against the number of years they have worked for the company. You find that plotting the base-10 logarithm of salary makes the plot much straighter. A part-time shipping clerk, who has worked at the company for one year earns $10,000. A manager earns$100,000 after 15 years with the firm. The CEO, who founded the company 30 years ago, receives $1,000,000. What are the values you will plot? Will the plot of these three points be straight enough?

Now it is time to find additional evidence from a variety of outside sources to strengthen your argument. First, form two or three research questions that will help you to support your claim:

The economy of Macro Island is described by the following data:

• Labor's share of income is one-third.
• Output grows by 8 percent per year.
• The capital stock grows by 9 percent per year.
• The labor force grows by 3 percent per year.

Given these data, we know that total factor productivity grows by _________ percent per year.

a. 1

b. 2

c. 3

d. 4

The diagram shows the graph of $y=12-3 x^{2}$. Determine the x-coordinate of each of the points where the curve crosses the x-axis. Find by integration the area of the region between the curve and the x-axis.

Here are summary statistics for the sizes (in acres) of Finger Lakes vineyards. Are any of the vineyards outliers? Explain.

$$\begin{array}{l|l}\text { Count } & 36 \\ \text { Mean } & 46.50 \text { acres } \\ \text { StdDev } & 47.76 \\ \text { Median } & 33.50 \\ \text { IQR } & 36.50 \\ \text { Min } & 6 \\ \text { Q1 } & 18.50 \\ \text { Q3 } & 55 \\ \text { Max } & 250\end{array}$$

In the third paragraph, what does Paine say about God in terms of this conflict between the colonists and the British? Use evidence from the text to explain your response.

Table $11.8$ gives data on median salaries of full professors in statistics in research universities in the United States for the academic year 2007.

a. Plot median salaries against years in rank (as a measure of years of experience). For the plotting purposes, assume that the median salaries refer to the midpoint of years in rank. Thus, the salary $\$ 124,578$ in the range 4-5 refers to $4.5$ years in the rank, and so on. For the last group, assume that the range is 31-33.

b. Consider the following regression models:

$$\begin{gathered} Y_i=\alpha_1+\alpha_2 X_i+u_i \\ Y_i=\beta_1+\beta_2 X_i+\beta_3 X_i^2+v_i \end{gathered}$$

$$\begin{array}{ccc} \hline \text { Years in Rank } & \text { Count } & \text { Median } \\ 0 \text { to } 1 & 40 & \$ 101,478 \\ 2 \text { to } 3 & 24 & 102,400 \\ 4 \text { to } 5 & 35 & 124,578 \\ 6 \text { to } 7 & 34 & 122,850 \\ 8 \text { to } 9 & 33 & 116,900 \\ 10 \text { to } 14 & 73 & 119,465 \\ 15 \text { to } 19 & 69 & 114,900 \\ 20 \text { to } 24 & 54 & 129,072 \\ 25 \text { to } 30 & 44 & 131,704 \\ 31 \text { or more } & 25 & 143,000 \\ \hline \end{array}$$

Whenever we regress two variables that both change over time, we should plot the residuals against time as a check for time related lurking variables. Make this plot for the stock returns data. Are there any suspicious patterns in the residuals?