7) Data from a small bookstore are shown in the accompanying table. The manager wants to predict Sales from Number of Sales People Working. Number of sales people working | Sales (in $1000) | 4 | 12 | 5 | 13 | 8 | 15 | 10 | 16 | 12 | 20 | 12 | 22 | 14 | 22 | 16 | 25 | 18 | 25 | 20 | 28 | x=11.9 | y=19.8 | SD(x)=5.30 | SD(y)=5.53 | a) Find the slope estimate, b1. Use technology or the formula below to find the slope. b1=rsysx Enter x,y Data in TI-84 under STAT > STAT > CALC > 8: LinReg(a+bx) b1=1.023 b) What does b1 mean, in this context? The slope tells how the response variable hanges for a one unit step in the predictor Thus, an additional; $1,023 of sales associated with each additional sales …show more content…
Events A and B are independent when P(B|A) = P(B). To determine wheter having a cell phone and having a landline are indepented, find P(landline|cell phone) and P(landline). Recall from part a) that P(landline) =0.628 PBA=P(A and B)P(A) Use the formula to find P(landline|cell phone) Plandlinecell phone=P(landline and cell phone)P(cell phone) Since the contingency table shows that P(landline and cell phone)=0.545 and P(cell phone)=0.871, substitute these values into the equation. Divide to find the conditional probability, rounding to three decimal places. Plandlinecell phone=0.5450.871=0.626 Thus, P(landline|cell phone)=0.626 and P(landline)=0.628. Because 0.626 is very close to 0.628, having a cell phone and having a landline are probably independent. Of the households surveyed, 62.6% with cell phones had landlines, and 62.8% of all households did. 16) A marketing agency has developed three vacation packages to promote a timeshare plan at a new resort. They estimate that 30% of potential customers will choose the Day Plan, which does not include overnight accommodations; 30% will choose the Overnight Plan, which includes one night at the resort; and 40% will choose the Weekend Plan, which includes two nights. a) Find the expected value of the number of nights that potential customers will need Vacation Package | Nights Included | Probability P(X=x) | | Day Plan | 0 | 30100=0.3 | | Overnight Plan | 1 | 30100=0.3 | | Weekend Plan | 2 | 40100=0.4 |
15) Refer to the table. What is the average number of customers waiting to be served?
Cellphones are most common in society. The ease of access allows us to have the world at our fingertips 24 hours a day and we never have to unplug. We can surf the web, book a flight, check the weather, and message a friend 1000 miles away without leaving our bed.
Finally we got all our number and determine the slope, and the intercept in order to find out the forecast for the next
The slope of the linear fit of the data is 1.0049. What this tells me about the water is that it is increasing at a close to constant rate – while my results were not completely accurate because the slope of the line was not one it was fairly close to the target
The average rate of change is an average slope from the initial point to the final point. We would have to use A(x)=f(x)-f(a) divided by x-a to find the average rate of change. Sometimes we would want to know what the average rate of change is in the middle of the graph. The average rate of change is used in page 10, “How many more people?.” The concept of slope comes from the idea of a constant rate of change. To find the slope, you have to calculate y1-y2 divided by x1-x2. Slope is often denoted by the letter “m” which means that m+ equals the slope. Its problem is being used in page 21, “Rates, Graph, Slopes, and Equations.” Y=mx+b is the equation of the line that you can find using the two points. Variable “m” is the slope and “b” is the y-intercept.
4. Now focus solely on the expected profitability of the proposed marketing program. How many incremental daily visits must the program generate to make it worthwhile? (In other words, how many incremental visits would it take to pay for the marketing program, irrespective of overall clinic
1. The local Mastermind store sells innovative educational toys. Part of their service is giving advice to customers about the best toys for a particular age group, which requires having more customer service representatives in the store. During the month long Christmas buying season, it makes half of its $500,000 yearly sales. Its contribution margin on average is 40% and its fixed costs for the year are about $150,000. The owner believes that she could make even higher sales, if she had more customer service representatives on the floor during the peak season. She plans on hiring four more people for 200 hours each at $20 per hour. How much additional revenue does she have earn to the nearest dollar
The new owner of a beauty shop is trying to decide whether to hire one, two, or three beauticians. She estimates that profits next year (in thousands of dollars) will vary with demand for her services and has estimated demand in three categories low, medium and high.
2.) For each expense that is variable with respect to revenue hours, calculate the cost per revenue hour.
1. What is the minimum number of passengers Health Cruises must sign up by November 20th to break even? [show your calculations]
This regression equation can be graphed as follows assuming β0 as the intercept and β1 as the slope:
The trendline, known as the line of best fit or the least squares regression line, shows the linear equation which best explains the sums up the data’s trend. The formula on the right is the formula of the line of best fit.
One of the most important parts of this financial plan is that rates be increased on weekends. In the information, it also stated that most customers visited on the weekends. If the prices were increased over the weekends, even if not by much, the hotel could make more revenues.
orange juice to complete a survey on a new line of frozen orange juice. After