manufacturer of graphing calculators has determined that 10,000 calculators per week will be sold at a price of $95. At a price of $90, it is estimated that 12,000 calculators will be sold. a. Determine a linear function that predicts the number of calculatorsthat will be sold each month at a given price. b. Use this model to predict the number of calculatorsthat will be sold at a price of $8500. c. What is the slope of the line in part(a) and what does it represent (in words)? d. What is the y-intercept of the line in part(a) and what does it represent (in words)?

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The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries. grams 60 70 80 90 100 110 120 Vitamin C content in mg 14.3 18.5 22.5 28.1 32 37.2 41.4 A) Find the regression equation: Y x + Round your answers to 3 decimal places B) Answer the following questions using your un-rounded regression equation. If we test 150 grams of raspberries what is the expected Vitamin C content? mg (round to the nearest tenth)

The graph below plots changes murders by firearms over time, focusing on the effects of a "Stand Your Ground" law, which made it legal for someone to use deadly force if they felt they were defending themselves "reasonably." How might this graph confuse people over the possible effects of the law?

a) Find the equation of the line which is the best fit for the data, with x equal to the number of years after 1999 and y equal to the millions of people b) Ise the model to estimate the number of people who took trips in 2008.

2. The number of public branch libraries in the United States for several years is given in the table: Year Public Library Branches G500 1994 6223 1995 6172 1996 Branches 6205 1997 6332 1998 6435 a. Graph the data b. Find an equation for a model of these data. Year b. Using your model, estimate the number of branch libraries in 2000 c. Use the graph to estimate in what year(s) there are 6500 branch Libraries

9. A certain bacteria population triples each minute. Suppose you begin with a single bacteria cell. a. Create a table of values to show the population of bacteria at the end of each minute for the first 5 minutes of growth. b. Graph the data from your table using the desmos graphing calculator. (insert below). c. Is the population of bacteria growing linearly or exponentially? Explain.

Eloise needs to finish a 516-page report on international trade so she can present it at the big conference this weekend. She's been tracking her page count at the end of each business day to see if she's on track. Use Excel to fit a trendline to Eloise's data to create a model of her productivity. According to your model, will Eloise be able to finish her report by the end of the day next Friday? Assume she works only on weekdays. Day Pages Monday 425 Tuesday 431 Wednesday 449 Thursday 464 Friday 471 A: Use Excel to fit a trendline to Eloise's data. What are the slope and intercept for this line? The slope is The intercept is B: Use your model (trendline) to answer the question. Will Eloise finish her report by the end of next friday? Yes

The operations manager of a musical instrument distributor feels that demand for a particular type of guitar may be related to the number of YouTube views for a music video by the popular rock group Marble Pumpkins during the preceding month. The manager has collected the data shown in the following table: YouTube VIEWS (1,000s) 30 40 70 60 80 50 GUITAR SALES 8 11 12 10 15 13 a. Graph these data to see whether a linear equation might describe the relationship between the views on YouTube and guitar sales. b. Using the equations presented in this chapter, compute the SST, SSE, and SSR. Find the least-squares regression line for these data. c. Using the regression equation, predict guitar sales if there were 40,000 views last month.

An entrepreneur who owns and operates two businesses (A and B) would like to analyze their profitability. They would like your help in the analysis. They give you the annual net profit (in thousands of $) for each business from 2008-2020. Table 1: Annual Net Profits for Businesses A and B Business Year Profit Business Year Profit 2008 -50 2008 -10 2009 57 2009 30 2010 71 2010 27 2011 64 2011 22 2012 60 2012 21 2013 50 2013 20 A 2014 41 2014 24 2015 59 2015 24 2016 71 2016 32 2017 71 2017 36 2018 74 2018 37 019 81 20 40 2020 97 2020 49 a. Suppose you want to graph the distribution of profits. Explain why using only one stem- plot might not be optimal for the analysis. b. Describe the correct stemplot to use. Generate this stemplot. Explain your steps. What can you say about the distribution from this stemplot? c. When are stemplots useful? And why is that? d. Suppose that instead of having 26 observations you have 200 observations. What graph should you generate? e. What other type of…