The following data show the household expenditure, income, number of adults in each of 17households and whether or not the family contains at least one person who smokes.Family Household expenditure (X) Income (Y) Adult1487225743439436752996743743385479101112131415161726.1719.4917.8716.904.2132.0830.1922.629.8613.329.2447.3526.8033.4421.4116.0624.98a. Draw an XY plot of the data and comment.3033702995315066134722533742121222121422312Smoker00100100011110010b. From the chart, would you expect the line of best fit to slope up or down? In theory,which way should it slope?c. Calculate the correlation coefficient between household spending and income.d. Is the coefficient significantly different from zero? What is the implication of theresult?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4) The table shows, for the years 1997–2012, the mean hourly wage for residents of the town of Pity Me and the mean weekly rent paid by the residents. Mean hourly wage (dollars) Mean hour. Mean weekly rent (dollars) Mean weekly rent (dollars) Year Year (dollar 116 1997 57 10.38 2005 28.99 59 113 1998 10.89 2006 28.63 2007 1999 62 11.96 112 36.75 14.55 2000 63 12.46 2008 86 17.90 2001 86 17.72 2009 90 2002 2010 119 28.07 90 14.67 131 35.24 2003 2011 17.97 100 122 2004 2012 22.23 31.87 115 Find the least squares line that uses mean hourly wage to predict mean weekly rent. Round values to the nearest ten-thousandth. Include a scatter plot with the regression lino
What is the difference between relative frequency and cumulative frequency? Choose the correct answer below. A. Relative frequency of a class is the number of observations in that class, while cumulative frequency of a class is the sum of all the frequencies. B. Relative frequency of a class is the proportion of the data in that class, while cumulative frequency of a class is the number of observations in that class. C. Relative frequency of a class is the percentage of the data that falls in that class, while cumulative frequency of a class is the sum of the frequencies of that class and all previous classes. O D. There is no difference between the two.
The data below represent the number of days absent, x, and the final grade, y, for a sample of college students at a large university. Complete parts (a) through (e) below. У, No. of absences, x 1 2 4 6. 7 8 9. Final grade, y 88.8 85.9 83.0 80.6 77.7 73.3 63.5 68.3 65.4 62.6 (Round to three decimal places as needed.) A. For every unit change in the final grade, the number of days absent falls by days, on average. B. For every day absent, the final grade falls by on average. C. For zero days absent, the final score is predicted to be 88.778 . D. For a final score of zero, the number of days absent is predicted to be days. E. It is not appropriate to interpret the y-intercept. (c) Predict the final grade for a student who misses five class periods and compute the residual. Is the observed final grade above or below average for this number of absences? The predicted final grade is |. This observation has a residual of, which indicates that the final grade is average. (Round to one decimal…
The data set below represents the ages of 36 executives. Find the percentile that corresponds to an age of 65 years old. 30 30 31 32 33 33 33 35 35 37 37 38 38 39 39 41 42 42 44 45 46 46 46 47 47 48 48 51 52 59 62 63 65 65 66 66 Percentile of 65 = (Round to the nearest integer as needed.)
In a large city, commuter trains are used to transport people into the downtown area. Trains arrive many times a day to a downtown station. While most are on time, some are late. The table shows on-time data from the past week. Train Status On Time Late Total Day of the Week Monday 32 8 40 Tuesday 24 16 40 Wednesday 37 3 40 Thursday 29 11 40 Friday 30 20 50 Total 152 58 210 What percentage of trains were late in this particular week? 27.6% 38.2% 40.0% 72.4%
What is the coefficient of determination for Data Set B? The coefficient of determination for Data Set B is %. Full Data Set: (Type an integer or decimal rounded to the nearest tenth as needed.) Data Set A Data Set B Data Set C y X y 8.9 3.6 8.9 3.1 8.9 2.8 8.3 15.0 9.4 15.0 8.1 15.0 0.5 4.8 1.2 4.8 3.0 4.8 14 6.0 10 6.0 8.3 6.0 8.2 14.9 9.0 14.9 8.2 14.9 11.9 9.8 15.0 5.9 11.9 5.0 11.9 1.4 4.3 9.8 3.4 9.8 1.0 8.3 15.0 7.4 0.1 7.5 15.0 7.9 03 4.7 4.7 5.9 4.7 6.8 13.0 13.0 5.0 13.0 (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.)
A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference and obtains the data shown below. Height Head Circumference 27 17.5 25 17 26.5 17.2 25.5 17 27.75 17.4 26.25 17.4 26 17.1 27.25 17.4 data table n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 compute the linear correlation coefficient between the height and head circumference of a child. r = ____ (round to three decimal places as…
Use this dataset for your analysis software. Cost-to-charge ratio (the percentage of the amount billed that represents the actual cost) for inpatient and outpatient services at 11 Oregon hospitals is shown in the following table. A scatterplot of the data is also shown. Hospital 1 2 3 O No 4 5 6 7 8 9 10 11 No No 100 90 80 70 60 50 Cost-to-Charge Ratio Outpatient Inpatient Care Care 45 62 66 63 51 75 65 56 45 48 71 54 å Inpatient 55 80 76 75 62 100 88 64 50 54 83 100 65 Outpatient The least-squares regression line with y = inpatient cost-to-charge ratio and x = outpatient cost-to-charge ratio is ý = -1.1 + 1.29 x. (a) Is the observation for Hospital 11 an influential observation? Yes (b) Is the observation for Hospital 11 an outlier? Yes 75 (c) Is the observation for Hospital 5 an influential observation? O Yes O No (d) Is the observation for Hospital 5 an outlier? O Yes O No
The following data, taken from 8 towns in Alberta, are the percentage of residents who are university graduates and the median household incomes (in $ 1000's) for all households in each town. Graduates (%) Median Income ($ 1000) 47.6 34.1 31.5 41.3 34.5 28.1 23.1 20.4 61.7 50.9 57.1 56.4 42.8 42.1 33.2 19.2 Use two-decimal places in your answers. 4 (a) State the slope term and the Y -intercept term of the least squares regression line which attempts to predict the median income of a town in Alberta based on its linear relationship with the percentage of residents who are university graduates. (b) Find the correlation coefficient. (c) As the percenage of university graduates increases by 10%, the median income will change (in $ 1000s) by (make sure you include the positive or negative sign) (d) What percentage of the variation in the variable Median Income is not explained by its linear relationship to the variable Percentage of University Graduates? Use at least one place after the…
The table to the right shows data found at a government census website, under a "Did You Know" panel. What type of data source is the information presented here based on? Private Sector Total Employment in a State All 2008 Q2 2009 Q2 Change Female 537,290 517,948 −3.6% Male 504,214 477,491 −5.3% Retail Trade Female 168,942 146,473 −13.3% Male 162,502 144,302 −11.2% Question content area bottom Part 1 Choose the correct answer below. A. The information is the outcome of an experiment that was conducted. B. The information is the result of an observational study that was conducted. C. The information is the result of a survey that was conducted. D. The information is collected via ongoing business activities. E. The information is distributed by an organization or individual.
A psychologist believed that as children get older, they engage in more “inactive activities” such as playing computer games, watching TV and surfing the internet. She collected data from 10 children. She recorded the age of each child and the amount of activity (in hours) the child engaged in per week. Age Activity 7 4.3 9 3.2 10 1 13 1.5 12 1.2 15 0.8 9 3 12 4 15 1.5 14 1.9 Using excel, obtain a scatterplot of the data. Discuss the relationship between age and activity based on the scatterplot. Using excel, obtain the simple linear regression linear regression line predicting activity from age. Interpret the intercept and slope of the regression line. By hand, predict the amount of activity for age = 14. By hand, calculate the residual for age = 14 Using excel output, test the null hypothesis that the slope coefficient is zero using the p-value approach. Write one sentence interpreting the meaning of this result. Make sure to report the test statistic…
The following table provides data on access to running water in the home for a certain developing country in 2006. Use the table to find answers to the questions. Have running water in the home Do not have running water in the home 100% People in Urban Areas 90% 78,359,000 3,265,000 People in Rural Areas 18,559,000 7,217,000 What percent of people in that country have running water in the house? Round answers to the nearest percent and include the % sign in your answer. Note that this is the number of the people that have running water (both in rural an urban areas) divided by the total number of people in the country (107,400,000). BZW

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