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Quadratic
Quadratic mean =
Find the R.M.S. of these voltages measured from household current: 0, 100, 162, 162, 100, 0, −100, −162, −162, −100, 0. How does the result compare to the mean?
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Elementary Statistics
- Marginal Tax Rate The following table shows tax due for the given taxable income level for a single taxpayer. Taxable income Tax due 97, 000 21, 913 97, 050 21, 927 97, 100 21, 941 97, 150 21, 955 97, 200 21, 969 a. Show that the data in the table are linear. b. How much additional tax is due on each dollar over 97.000? c. What would you expect to be your tax due if you had a taxable income of 97, 000? of 98, 000? d. Find a linear formula that gives your tax due if your income is A dollars over 97, 000.arrow_forwardDVD Player Sales The table shows the number of DVD players sold in a small electronics store in the years 2003-2013. Year DVD players sold 2003 495 2004 513 2005 410 2006 402 2007 520 2008 580 2009 631 2010 719 2011 624 2012 582 2013 635 aWhat was the average rate of change of sales between 2003 and 2013? bWhat was the average rate of change of sales between 2003 and 2004? cWhat was the average rate of change of sales between 2004 and 2005? dBetween which two successive years did DVD player sales increase most quickly? Decrease most quickly?arrow_forwardGrade Point Average In many universities students are given grade points for each credit unit according to the following scale: A 4 points B 3 points C 2 points D 1 point F 0 point For example, a grade of A in a 3-unit course earns 43=12 grade points and a grade of B in a 5-unit course earns 35=15 grade points. A students grade point average GPA for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12+15)8=3.375. a Find a formula for the GPA of a student who earns a grade of A in a units of course work, B in b units, C in c units, D in d units and F in f units. b Find the GPA of a student who has earned a grade of A in two 3-unit courses, B in one 4-unit courses and C in three 3-unit courses.arrow_forward
- Using the model in Example 6, estimate the number of cases of flu on day 15.arrow_forwardAccu-Rating has just released its webcast report for last month. The report details the aggregate tuning hours (ATHS) for the top 20 radio stations broadcast over the web. (The ATH for a station is the sum total of all hours that listeners tuned to the station.) The report displays the following histogram. Frequency Grectly 4 4 3 0 8- 6- 4. 2- 0A 200 400 600 800 ATH (in thousands of hours) 7 X 1000 2 Based on the histogram, find the proportion of ATHS in the sample that are less than 800 thousand hours. Write your answer as a decimal, and do not round your answer. 1200arrow_forwardUse the example of temperature and the amount of ice cream sold in a city each day, we are interested in creating an equation that will allow us to predict the amount of ice cream that are sold in the future simply by knowing temperature. (Please fill out the red blanks with appropriate numbers randomly.) a. Construct a scatter plot of the data. What should the independent variable be? Why? b. Find the values and discuss what the following mean in context.i. The slope of the regression equationii. The y-intercept of the regression equationiii. The correlation riv. The coefficient of determination r2. c. Do the data provide convincing evidence that there is a linear relationship between temperature and the amount of ice cream Carry out an appropriate test at a significance level of 0.05 to help answer this question.arrow_forward
- How many songs can a digital music player hold? The data below represent the memory x and the number of songs n. Complete parts (a) through (f) below. O A. O B. Memory, x (gigabytes) Number of Songs, An 19500- An 80어 8 1950 16 3900 32 7800 64 15600 80 19500 ..... Oc. (a) Plot the ordered pairs (x,n) in a Cartesian plane. Choose the correct graph on the right. An 80- An 19500- (b) Show that the number of songs n is a linear function of the memory x. A linear function has a constant average rate of change. The average rate of change between (8,1950) and (16,3900) is 19500 80 (Type an integer or a decimal.)arrow_forwardIdentify each data as either nominal, ordinal, ratio or interval. Social Security System (SSS) number The number of passengers in a mini bus Military ranks Model of a car IQ scores Flight distance of an airplane Number of traffic accidents in a month Heights of basketball players in the varsity Gender of a tamaraw Tax Identification Number (TIN)arrow_forwardFile Home Insert Draw Page Layout Despite the growth in digital entertainment, the nation's 400 amusement parks have managed to hold on to visitors. A manager collects data on the number of visitors (in millions) to amusement parks in the United States. A portion of the data is shown in the accompanying table. 10 v ... v X v fx B2 Year Visitors A B D 2000 312 1 Year Visitors 2001 315 2 2000 312 2007 345 3 2001 315 4 2002 364 SOURCE: International Association of Amusement Parks and Attractions. 5 2003 370 6. 2004 332 7 2005 314 picture Click here for the Excel Data File 8 2006 355 9 2007 345 b-1. Estimate a linear trend model and an exponential trend model for the sample. (Round your answers to 2 decimal places.) 10 11 12 Variable Linear Trend Exponential Trend 13 Intercept 14 15 Standard Error 16 17 18arrow_forward
- The data represent the heights in feet and the number of stories of the tallest buildings in a city. Height, x 793 388 825 404 439 550 931 669 532 Stories, y 57 26 58 31 33 36 60 49 34 Scatter Plot for the Heights (in Feet) and Number of Stories of the Buildings. 90- 50- 40- 30- 20- 10- 100 1200 400 300 700 Part: 0 /3 Part 1 of 3 Find the value for r. Round your answer to at least three decimal places.arrow_forwardExample 2: U.S. Male Height Data Consider the height of a male from the same population whose height is 66.38 inches. The population was normally distributed, with u= 69.30 inches and o = 2.92 inches. The Z-score for this individual can be found using the z-score formula: ベー) (66.38 – 69.30) (-2,92) - 1.00 2.92 2.92 The z-score for this person is -1.00, putting his height one standard deviation below the mean. Summing the percentages for the sections below this z-score tells us that he is taller than 15.8% of the distribution. We can also see that 34.1% of the distribution is between his z-score and the mean. 9 = '+ 3v 3 Learning Check (= (2x 2,+S 4.08 Unanswered • 3 attempts left What is the z-score for a male whose height is 63.46 inches? Type your responsearrow_forwardAn engineer wants to determine how the weight of a gas powered car, x, affects gas mileage, y. The accompanying days represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. weight Miles per (pounds), x Gallon, y 3797 16 3897 16 2704 24 3608 20 3360 22 3040 22 3787 17 2618 24 3509 18 3798 16 3399 17 Find the least squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. Find the least squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. y hat = _____x + ______(Round the x…arrow_forward
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