The following data represent a company's yearly sales and its advertising expenditure over a period of 8 years.
Sales in Millions of Dollars (y) Advertising Expenditure (in $10,000) (x)
15 32
16 33
18 35
17 34
16 36
19 37
19 39
24 42
a. Develop a scatter diagram of sales versus advertising and explain what it shows regarding the relationship between sales and advertising.
b. Use the method of least squares to compute an estimated regression equation between sales and advertising.
c. If the company's advertising expenditure is $400,000, what are the predicted sales? Give the answer in dollars.
d. What does the slope of the estimated regression line indicate?
e. Compute the coefficient of determination and fully interpret its meaning.
f. Compute the correlation coefficient.
g. Use the F test to determine whether or not the regression model is significant at α = .05.
h. Use the t test to determine whether the slope of the regression model is significant at α = .05.
i. Develop a 95% confidence interval for predicting the average sales for the years when $400,000 was spent on advertising. Give your answer in dollars.

Three pounds of material a are required for each unit produced. the company has a policy of maintaining a stock of material a on hand at the end of each quarter equal to 30% of the next quarter's production needs for material a. a total of 35,000 pounds of material a are on hand to start the year. budgeted purchases of material a for the second quarter would be:

Imagine us is a startup that offers high definition 3d prenatal ultrasounds for high-end customers. the service process includes four activities that are conducted in the sequence described below. (the time required for each activity is shown in parentheses): activity 1: welcome a patient and explain the procedure. (20 minutes)activity 2: prep the patient (e.g., show them to the room, apply ultrasound gel). (17 minutes) (*your id number represents the amount of time needed to complete this task)activity 3: take images. (5 minutes)activity 4: discuss diagnostic with patient. (20 minutes)at each location there are employees (servers) s1, s2, and s3. the assignment of tasks to servers is the following: s1 does activities 1 and 2.s2 does activity 3.s3 does activity 4.a. what is the capacity of this process (in customers per hour)? b. suppose 3 patients arrive every hour on average. ignoring any “start of day” or “end of day” effects, what are the utilizations of all three servers (%)? c. suppose each activity can be done by any server and any server can do any set of activities. however, each activity is done by only one server. for example, a possible assignment includes: s1 does activity 1, s2 does activity 2, and s3 does activities 3 and 4. of course, the original assignment of servers to activities is also feasible. what is the maximum capacity of the process (in customers per hour)? d. now consider the capacity measures in (c) and (a), what is the percentage change? why can you improve capacity without using additional resources? (there is no free lunch, right? )note: for all hw assignments, show your process of getting the results. only providing the final answers is not acceptable and will get 0%. if necessary, use a separate sheet of paper to show your work.

On december 1, 2017, bigham corporation pays a dividend of $4.00 on each share of its common stock. vanessa and gena, two unrelated shareholders, each own 5,000 shares of the stock. vanessa has owned her stock for two years while gena purchased her stock on november 3, 2017. how does each shareholder treat the $20,000 dividend from bigham