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For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. Thefollowing ordered pairs shows the population (in hundreds) and the year overthe ten-year span, (population, year) forspecific recorded years:
What is the
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College Algebra By Openstax
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- The flu shot for a flu season is created from four strains of the flu virus, named Strain A, B, C, and D, respectively. Medical researchers use the following data to determine the effectiveness of the vaccine over the flu season. Table 1 shows the effectiveness of the vaccine against each of these strains individually. The graph below the table shows the prevalence of each of these strains during each month of the flu season, represented as a percentage of the overall cases of flu that month. Table 1 Strain Effectiveness A 35% B 13% 76% 68% 35 30 20 15 10 Oct Nov Dec Jan Feb Mar Time (months) Flu Prevalance (% of all cases} Aarrow_forward(2, -1, 7) and b = (9, 2, 1), find the following. If a = ахb%3 b x a =arrow_forwardSarah was calculating the speeds (mph) of vehicles travelling down Maple Street on two separate days at 9 am for an hour. Below is the data she collected. Wednesday's Speeds: 34,28,24,17,39,44,64,33,27,21,38,40,60,30,25,37,30,25,35,30 Sunday's Speeds: 18,27,34,37,49,55,63,61,48,30,27,17,17,15,26,46,25 Find the Standard Deviation of each day. Wednesday's Standard Deviation Table X X √EC Sunday's Standard Deviation Table X S= (x-5)² n-1 S= (x-4)² n-1 Sketch Wednesday's Bell Curve with 3.0 X 1 Sketch Sunday's Bell Curve with + 30 x-x (x-x)²= x-x {(x-1)²= (x-x) 3. Based on your analysis of the data and standard deviations, which day would you say is the most dangerous day on Maple Street?arrow_forward
- Sarah was calculating the speeds (mph) of vehicles travelling down Maple Street on two separate days at 9 am for an hour. Below is the data she collected. Wednesday's Speeds: 34,28,24,17,39,44,64,33,27,21,38,40,60,30,25,37,30,25,35,30 Sunday's Speeds: 18,27,34,37,49,55,63,61,48,30,27,17,17,15,26,46,25 1. Create a frequency table for each day. Make sure you look at both days when setting the intervals for your frequency table. Remember that you need to use common intervals for both days to tally the frequency. Wednesday's Frequency Table Speed Interval (mph) Sunday's Frequency Table Speed Interval (mph) Tally Tally Frequency Frequency 2. Create a histogram with appropriate labels for each day using the frequency tables you created in #1. 3. What do you notice about the two histograms? Consider the following questions: Are there any patterns in the speed distribution? Does one day look worse than the other?arrow_forward1,2 and 3 pleasearrow_forwardJohn was calculating the peeds (mph) of vehicles traveling down Maple Street on two separate days at 9 am for an hour. Below is the data she collected. Wednesday's speeds: 32,28,24,17,39,44,64,33,27,21,38,40,60,30,25,37,30,25,35,30 Sunday's speeds: 18,27,34,37,49,55,63,61,48,30,27,17,17,15,26,46,25 1. Calculate the mean and median of each day. 2. Calculate the five-number summary of each day. a. Wednesday's Five-Number Summary. b. Sunday's Five-Number Summary. 3. Test each day for outliers. If they have outliers, identify them and adjust the five-number summary to reflect the outlier. (Remember to find IQR and then Upper and Lower Limits) a. Wednesday's Outlier Test b. Sunday's Outlier Test 4. Create a stacked box-and-whisker plot using the five-number summaries from Wednesday and Sunday. 5. What do you notice about the box-and-whisker plots? Describe the spread in each specifically.arrow_forward
- An Internet advertising agency is studying the number of "hits" on a certain web site during an advertising campaign. It is hoped that as the campaign progresses, the number of hits on the web site will also increase in a predictable way from one day to the next. For 10 days of the campaign, the number of hits × 105 is shown. Original Time Series Day 1 2 3 4 5 6 7 8 9 10 Hits × 105 1.2 3.5 4.4 7.3 6.7 8.1 9.0 11.2 13.1 14.8 (a) To construct a serial correlation, we use data pairs (x, y) where x = original data and y = original data shifted ahead by one time period. Construct the data set (x, y) for serial correlation by filling in the following table. x 1.2 3.5 4.4 7.3 6.7 8.1 9.0 11.2 13.1 y (b) For the (x, y) data set of part (a), compute the equation of the sample least-squares line ŷ = a + bx. (Use 4 decimal places.) a b If the number of hits was 9.3 (× 105) one day, what do you predict for the number of hits the next…arrow_forwardHelp me fast so that I will give Upvote.arrow_forwardtion 2 of 15 Last summer, the Smith family drove through seven different states and visited various popular landmarks. The prices of gasoline in dollars per gallon varied from state to state and are listed below. $2.34, $2.75, $2.48, $3.58, $2.87, $2.53, $3.31 Click to download the data in your preferred format. CrunchIt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc Calculate the range of the price of gas. Give your solution to the nearest cent. range: dollars per gallon DELL & 4. 7 8.arrow_forward
- The data give the average number of days in May that are clear and cloudy in two cities. Clear Cloudy Total Sacramento, CA 17 13 30 San Antonio, TX 24 30 Total 23 37 60 6,arrow_forwardConsider the following data: −11,−5,−5,−11,13,−11,−5−11,−5,−5,−11,13,−11,−5 Copy Data Step 3 of 3: Calculate the value of the range.arrow_forwardThe weather in Los Angeles is dry most of the time, but it can be quite rainy in the winter. The rainiest month of the year is February. The following table presents the annual rainfall in Los Angeles, in inches, for each February from 1965 to 2006. 0.2 3.7 1.2 13.7 1.5 0.2 1.7 0.6 0.1 8.9 1.9 5.5 0.5 3.1 3.1 8.9 8.0 12.7 4.1 0.3 2.6 1.5 8.0 4.6 0.7 0.7 6.6 4.9 0.1 4.4 3.2 11.0 7.9 0.0 1.3 2.4 0.1 2.8 4.9 3.5 6.1 0.1 a. Construct a stem-and-leaf plot for these data. b. Construct a histogram for these data. C. Construct a dotplot for these data. d. Construct a boxplot for these data. Does the box-plot show any outliers?arrow_forward
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