4) Consider the following joint pdf for made-up data on PARTY by GENDER. You may war to enter these into a spreadsheet for this exercise GENDER Men=0 Women=1 Democrat=1 0.15 0.29 Republican=2 0.30 0.10 Other=3 0.11 0.05 a) Find the marginal (i.e. the unconditional) distribution of PARTY. b) Find the marginal (i.e. the unconditional) distribution of GENDER. c) Use B.15 to find the conditional pdf: f GENDER | PARTY - for both gender outcomes conditional on all three possible party outcomes. What does this conditional pdf tell us? Make sure you find values PARTY

4) Consider the following joint pdf for made-up data on PARTY by GENDER. You may war to enter these into a spreadsheet for this exercise GENDER Men=0 Women=1 Democrat=1 0.15 0.29 Republican=2 0.30 0.10 Other=3 0.11 0.05 a) Find the marginal (i.e. the unconditional) distribution of PARTY. b) Find the marginal (i.e. the unconditional) distribution of GENDER. c) Use B.15 to find the conditional pdf: f GENDER | PARTY - for both gender outcomes conditional on all three possible party outcomes. What does this conditional pdf tell us? Make sure you find values PARTY

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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The table shows the results from a random survey asking participants their age and current systolic blood pressure. Age (years) 24 26 30 34 36 45 50 55 Systolic Blood Pressure 108 104 132 119 128 140 135 146 If a student correctly makes a scatter plot of the data from the survey, which statement is true? O There are no outliers in the data. O There is a negative association in the data. O There is a nonlinear association in the data. O There is at least one outlier in the data.
The following table shows the annual income, in dollars, and amount spent on vacation, in dollars, for a sample of 8 families. Income 41,100 53,000 27,400 34,400 65,800 98,100 72,000 56,700 Vacation 2,700 2,400 1,700 2,500 2,800 5,100 4,200 3,200 (a) Create a scatterplot of the data in the table. (b) Describe the association shown in the scatterplot created in part (a). (c) Calculate the coefficient of determination for the data, and interpret the value in context.
We sometimes hear that getting married is good for your career. Assume the table presents data from one of the studies behind this generalization that classifies men ages 18 and over according to marital status and annual income. We include only data on men to avoid sex bias. Income No income $1-$49,999 $50,000-$99,999 $100,000 and over Total Marital status and salary level (thousands of men) Marital Status Single men with no income: Single (Never Married) 5403 25,696 6152 2145 39,396 Married 1256 31,569 22,145 14,588 69,558 Divorced 563 6210 3112 1912 11,797 Widowed 145 2439 650 301 3535 What percentage of single men have no income? Give your answer to one decimal place. Total 7367 65,914 32,059 18,946 124,286 %
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A researcher wanted to find the effect of a special diet on systolic blood pressure. She selected a sample of seven adults and put them on this dietary plan for 3 months. The following table gives the systolic blood pressures (in mm Hg) of these seven adults before and after the com- pletion of this plan. Before After 210 193 180 186 195 186 220 223 231 220 199 183 224 233 Let u be the mean reduction in the systolic blood pressures due to this special dietary plan for the population of all adults. Construct a 95% confidence interval for ud. Assume that the population of paired differences is (approximately) normally distributed.
The data to the right represent the number of chocolate chips per cookie in a random sample of a name brand and a store brand. Complete parts (a) to (c) below. Full data set D Name Brand Store Brand 20 23 26 24 28 19 21 27 33 28 33 15 29 22 25 17 22 21 22 30 20 26 23 24 25 27 ... (a) Draw side-by-side boxplots for each brand of cookie. Label the boxplots "N" for the name brand and "S" for the store brand. Choose the correct answer below. OA. OB. OC. N- N- N- 10 20 30 40 10 20 30 40 10 20 30 40 (b) Does there appear to be a difference in the number of chips per cookie? O A. Yes. The store brand appears to have more chips per cookie. O B. No. There appears to be no difference in the number of chips per cookie. O C. Yes. The name brand appears to have more chips per cookie. O D. There is insufficient information to draw a conclusion. (c) Does one brand have a more consistent number of chips per cookie? O A. No. Both brands have roughly the same number of chips per cookie. O B. Yes. The…
estion 4 of 16 The number of text messages sent and the number of phone calls made in a sample of 100 students Identify the explanatory variable and the response variable, if possible O Either variable could be the explanatory variable because cach one could be used to predict or explain the other. O Explanatory variable: students; response variable: number of phone calls made O Explanatory variable: number of phone calls; response variable: number of text messages O Explanatory variable: number of text messages; response variable: number of phone calls O Explanatory variable: students: response variable: number of text messages DELL
The table (on the right) shows the daily COVID-19 confirmed cases in Toronto region from March 8, 2020 to May 16, 2020. (Source: Ontario Public Health ) Year Dally cases (# people) March 8- March 14 50 March 15-March 21 202 a) Use DESMOS graphing technology to create a scatter plot of the data on the next page. Choose March 8- March 14 as week March 22-March 28 357 March 20-April 459 b) On the DESMOS graphing calculator, Determine a linear, a quadratic, and an exponential model using regression. April 5-April 11 085 April 12-April 18 1506 April 19-April 25 1532 April 26-May 2 1201 May 3- May 0 1126 May 10- May 16 071 c) Write the equation of the three models in the table below. Do not write the general regression equations Models Equation R SQUARE VALUE linear model 1 1 Quadratic model 2 Exponential model 3 3 d) Which model fits the data best? Justify using the value of the coefficient of determination
The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. Body fat percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. You can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete X-ray Ultrasound 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 5.00 8.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 13.50 9.25 11.00 12.00 14.00 17.00 18.00 4.25 4.75 9.00 11.75 17.00 27.50 6.50 6.75 8.75 14.50 9.50 12.00 12.25 15.50 18.00 18.25 Use these data to estimate the difference in mean body fat percentage measurement for the two methods. Use a confidence level of 95%. (Use μ = MX-ray-Multrasound. Round your answers to three decimal places.) × % Interpret the interval in context. O There is a 95% chance that the true mean body fat percentage…
Models Header Footer Page Number Text Box WordA 5. Give a detailed explanation and draw a graphical summary sketch to illustrate your decision as to whether the given data distributions for the variables given are more likely skewed left, skewed right, or symmetric. a. The number of weeks into pregnancy at which a child is delivered States) b. ACT Scores c. Number of sick days at work per person during one calendar year d. Heights Accessibility: Investigate % 85 6 17 Dil TA Focus