1. Some phone apps measure the number of steps taken during a period of time. John downloaded an app that reported data in a table like this: Steps taken Steps taken Time (minutes) 5 600 4000 20 2400 25 3000 3000 35 4200 2000 1000 30 40 Minutes 10 20 (a) What are the variables of the problem? Identify independent and/or dependent variables of the problem if any. (b) Use the information from the table to graph the number of steps that John has taken over time. Connect the points on your graph. Does this curve or is it a line? (c) Explain why the graph tells you that John is walking at a constant pace. 01

We'll look at the Galton data frame from the mosaicData package: data(Galton)View(Galton)help(Galton) Here's a scatterplot of the heights of the mothers and the heights of their children: ***(YOU MUST CREATE THE SCATTERPLOT FROM INFO GIVEN) We would like to use the data to predict the height of a child from the height of her mother. As described in class and in the Course Notes, use the predict() function to predict the height of a child (the time of Galtons' study) if the child's mother was known to be 64 inches tall. Record your answer (without units) as a decimal number, correct to at least two decimal places. _______________________

Use the data given in the three scenarios below to produce scatter plots, determine the type of model demonstrated in each example and then answer the questions based on the graph you created. Scenario 1 Rescue 911 In a rural community, fire and paramedic crews must service a large region. They often cover 2 or 3 towns several kilometres apart. These crews travel, on average, 70 km/h to their destination. The Chief of Station 42 wants to determine the time required to reach the patient's home (response time) for his region. The station is located next to the local hospital. The Chief knows the distances to each community that he services, including Deerborn, the furthest community, at 55 km away. Using the data below, create a scatter plot showing the relationship between distance to patient and response time. Distance to Patient (km) Response Time (minutes) 10 8.6 15 12.9 40 34.3 50 42.9 55 47.1

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.

On its maiden voyage in 1912, the RMS Titanic struck an iceberg and sank in less than three hours. The table shows survival statistics. Survivors Deceased Women and Children 11 Women and Total Category First Class Second Class Third Class Children Men Men 145 54 119 329 285 24 119 142 417 15 104 105 710 69 214 706 685 1517 899 Crew Total 2223 Source: Statistics of Passengers Rescued and Lost, White Star Momentos 1. Create a graph that lawyers could use to help families of the affected passengers. Explain what type of graph you chose and why. 2. The cruise line released a statement with the headline, "Hundreds of Lives Saved in Titanic Mishap." Create a graph or highlight some data that the cruise line could use to justify this headline. 3. Reflect How do the graphs from steps 1 and 2 show that the way in which you represent information can change people's perceptions? 4. Extend Your Understanding Search the Internet for some examples of data displays that are accurate but misrepresent…

26 14 30 45 20 21 27 32 40 Age of residents in a neighbourhood 50 9 37 40 36 13 52 10 35 12 36 57 28 51 47 48 42 42 52 1 53 Create a box-and-whisker plot for the data. If you use technology copy and paste the graph into your solutions document. If you prepare it by hand use a ruler and take a clear, well-lit photograph or scan and insert it as an image into your document.

Make a scatterplot of the untransformed data and tell which kind ofrelationship the points seem to follow. Also name the best type oftransformation needed to "straighten" the plot.Note: Part of the transformation shouId involve subtracting 1900 from the year soyou're working with more manageable numbers.Now try some transformations to get the data as close to linear as possible.(Use your calculator to transform the data, and try scatterplots of the differenttransformations). Then find the regression line, r, and r2.Tell which transformation worked the best and back it up by showing:• A scatterplot of the transformed data with the least-squares regression equation andline, r, and r-squared.• A plot of the original data with the regression equation converted to a non-linearequation

The table gives the projections of the population, in millions, of a country's residents over age 16 for selected years from 2015 to 2060. Answer parts (a) through (e). Year 2015 2020 2025 2030 2035 a. Graph the data, with y equal to the population in millions and x equal to the number of years after 2010. Choose the correct graph below. All graphs have viewing window [0, 60] by [0, 400] with Xscl = 5 and Yscl = 50. OA. O B. Q Q Population (millions) 255.161 266.024 276.558 286.967 297.259 MooBook Air O C. b. Find a linear function that models the data, with y equal to the population in millions and x equal to the number of years after 2010. y=x+ (Type integers or decimals rounded to three decimal places as needed.) c. Graph the model and the data on the same axes and comment on the fit of the model to the data. Choose the correct graph below. All graphs have viewing window [0, 60] by [0, 400] with Xscl = 5 and Yscl = 50. OA. OB. G O C. Year 2040 2045 2050 2055 2060 O D. O D.…

What type of graph would you use to depict the relationship between: Is the number of days in the Intensive Care Unit(ICU LOS) related to gender?  If ICU LOS were two different variables and one was coded as categorical and the other as continuous, would you use the same graph to depict the relationship between the variables?   For example: 1. #  of days in ICU(as a continuous variable) and gender.. 2. # of days in ICU(as a categorical variable) and gender. Would you use the same graph for numbers 1 and 2? Which graphs would you choose?

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