The following data show the alcohol expenditure, income, number of adults in each of 17households and whether or not the family contains at least one person who smokes.Family Alcohol expenditure Income Adult(X)26.17Smoker(Y)487122.19.495742317.8743911416.9036754.2129916.32.08743217.30.194332822,625479.8630311013.32370119.24299147.3526.8012531113506211433.446131521.4147231616.0625311724.98374a. Draw an XY plot of the data and comment.b. 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 alcohol spending and income.d. Is the coefficient significantly different from zero? What is the implication of theresult?

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Answered: The following data show the alcohol…

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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Let x be the percentage of 16- to 19-year-olds not in school and not high school graduates. Let y be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blytheville, El Dorado, Hot Springs, Jonesboro, Rogers, and Russellville) reported the following information about x and y. x 24.2 18.6 17.8 14.9 19.0 17.5 y 13.0 4.6 8.8 1.3 0.8 3.6 Complete parts (a) through (e), given Σx = 112, Σy = 32.1, Σx2 = 2137.7, Σy2 = 282.89, Σxy = 654.37, and r ≈ 0.763. (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.) r2 = explained % unexplained % (f) If the percentage of 16- to 19-year-olds not in school and not graduates reaches 22.5% in a similar city, what is the predicted rate…
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The following data show the household expenditure, income, number of adults in each of 17 households and whether or not the family contains at least one person who smokes. Family Household expenditure (X) Income (Y) Adult 1 487 2 2 574 3 439 4 367 5 299 6 743 7 433 8 547 9 10 11 12 13 14 15 16 17 26.17 19.49 17.87 16.90 4.21 32.08 30.19 22.62 9.86 13.32 9.24 47.35 26.80 33.44 21.41 16.06 24.98 a. Draw an XY plot of the data and comment. 303 370 299 531 506 613 472 253 374 2 1 2 1 2 2 2 1 2 1 4 2 2 3 1 2 Smoker 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 1 0 b. 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 the result?
Let x be the percentage of 16- to 19-year-olds not in school and not high school graduates. Let y be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blytheville, El Dorado, Hot Springs, Jonesboro, Rogers, and Russellville) reported the following information about x and y.x 23.8 19.1 17.5 14.9 19.0 17.5y 12.9 4.5 9.5 1.3 0.8 3.6 a) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)Σx = Σy = Σx2 = Σy2 = Σxy = r = b) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answer to four decimal places.)x = y = y hat = _____+ ____x
A report gave the accompanying data for the 50 U.S. states on the percentage of the population that was born in the state and is still living there. The data values have been arranged in order from largest to smallest. 75.6 71.4 69.6 69.0 68.6 67.5 66.7 66.3 66.1 66.0 66.0 65.2 64.6 64.3 63.8 63.7 62.8 62.6 61.8 61.8 61.5 61.1 59.2 59.0 58.7 57.3 57.1 55.8 55.8 55.5 55.3 54.9 54.7 54.5 54.0 54.0 53.6 53.5 52.8 52.5 50.2 50.2 48.9 48.7 48.2 47.3 43.4 40.4 35.8 28.2 (a) Find the values of the median, the lower quartile, and the upper quartile. (Enter your answers to one decimal place.) median = lower quartile = upper quartile = (b) The two smallest values in the data set are 35.8 (Alaska) and 28.2 (Wyoming). Are these two states outliers? Alaska is an outlier, but Wyoming is not.Neither Alaska nor Wyoming are outliers. Wyoming is an outlier, but Alaska is not.Alaska and Wyoming are both outliers. (c) Construct a boxplot for this data set.
The table below shows the alcohol consumption per capita for seventeen high-income countries in 2000 according to https://ourworldindata.org.Country Liters of Alcohol Consumption per Capita in 1980 Australia 9.7Austria 11.1Belgium 11.5Canada 7.6Denmark 9.8Finland 5.1France 13.3Germany 12.7Italy 10.8Japan 6.5Netherlands 8.6New Zealand 9.1Norway 5.2Sweden 5.9Switzerland 11.4United Kingdom 8United States 7.71) Calculate the mean, median, mode, and standard deviation of the liters of alcohol consumption per capita for these 17 countries. Use your TI-84 calculator or Excel as necessary. If you calculate them by hand, include your work (neatly written on a separate sheet of paper!!). If you use Excel, include the Excel worksheet. If you use your TI-84, show what you’ve entered and the results you get. (You could take photos of your calculator and include those if you’d rather.)Mean = _______________________ (Round to 1 decimal place.)Median = ______________________Mode(s) =…
Following table gives the birth rates and death rates per thousand of a few countries. Represent them by multiple bar charts Country.
The following data are the number of pages in 40 books on a shelf. 119; 140; 178; 190; 205; 215; 217; 218; 232; 234; 240; 255; 270; 275; 290; 301; 303; 315; 317; 318; 326; 333; 343; 349; 360; 369; 377; 388; 391; 418; 420; 420; 421; 421; 422; 422; 429; 450; 475; 508 Select which of the below represent the correct box plot of the given data, and state the interquartile range. Select the correct box plot. 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 The interquartile range is Number
Below are the ages of the starters on two soccer teams.FC Looneys: 26, 31, 29, 30, 30, 26, 26, 31, 31, 31, 21Poppers FC: 25, 19, 22, 24, 26, 30, 25, 21, 23, 28, 26 describe theshape(skewed/symmetric, modality, outliers) for each. Determine the appropriate measures of center and spread for each data set, according to the shapes.Then Calculate them.(Make sure to only select one measure of center and one measure of spread) Write a comparison, in context, between the two distributions. Make sure to use the appropriatemeasures of center and spread when comparing. Mention outliers, if any
The following data show the rankings of 11 states based on expenditure per student (ranked 1 highest to 11 lowest) and student-teacher ratio (ranked 1 lowest to 11 highest). State Expenditureper Student Student-TeacherRatio Arizona 9 10 Colorado 5 8 Florida 4 6 Idaho 2 11 Iowa 6 4 Louisiana 11 3 Massachusetts 1 1 Nebraska 7 2 North Dakota 8 7 South Dakota 10 5 Washington 3 9 (a) What is the rank correlation between expenditure per student and student-teacher ratio? (Round your answer to three decimal places.) rs = At the ? = 0.05 level, does there appear to be a relationship between expenditure per student and student-teacher ratio? State the null and alternative hypotheses. H0: ρs ≥ 0Ha: ρs < 0H0: ρs ≠ 0Ha: ρs = 0 H0: ρs = 0Ha: ρs ≠ 0H0: ρs ≤ 0Ha: ρs > 0H0: ρs > 0Ha: ρs = 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value…
On the following pages you are presented with five problems. Your job is to examine the output and discuss whether there is a statistically significant relationship between the two variables, the pattern or direction of the relationship if the relationship is significant, and the strength of the relationship if the relationship is significant. AS you discuss the strength of the relationship, you will rely on an appropriate measure of association from those that have been given. For that determination, you will need to appropriately determine the level of measurement of each of the variables being examined. Please use the Measures of Association Chart I provided to help you with your determination. You may write your responses on a separate document or next to the problems on this one.
The table below shows the alcohol consumption per capita for seventeen high-income countries in 2000 according to https://ourworldindata.org. Country Liters of Alcohol Consumption per Capita in 1980 Australia 9.7Austria 11.1Belgium 11.5Canada 7.6Denmark 9.8Finland 5.1France 13.3Germany 12.7Italy 10.8Japan 6.5Netherlands 8.6New Zealand 9.1Norway 5.2Sweden 5.9Switzerland 11.4United Kingdom 8United States 7.7 1) Calculate the mean, median, mode, and standard deviation of the liters of alcohol consumption per capita for these 17 countries. Use your TI-84 calculator or Excel as necessary. If you calculate them by hand, include your work (neatly written on a separate sheet of paper!!). If you use Excel, include the Excel worksheet. If you use your TI-84, show what you’ve entered and the results you get. (You could take photos of your calculator and include those if you’d rather.)Mean = _______________________ (Round to 1 decimal place.)Median = ______________________Mode(s) =…

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