QUESTION 1Infestation of crops by insects has long been of great concern to farmers and agriculturalscientists. A study namely “Cotton Square Damage by the Plant Bug, Lygus Hesperus, andAbscission Rates" reports data on percent of damage squares (%) which is affected by ageof cotton plant (days). The data are shown as follows:Age of a cotton plant81112151718Damage squares161218305241Age of a cotton plant212527303133Damage squares236365604884a. Calculate the correlation coefficient and coefficient of determination. Interpret itsmeaning in the context of the problem.

Correlation: Correlation a measure which indicates the “go-togetherness” of two data sets. It can be…

Answered: Infestation of crops by insects has…

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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5. Dust mite allergies. Refer to Exercises 4.2 (p. 138) and 4.13 (p. 143). Each home with a dust mite level that ex- ceeds 2µg/g will spend $2,000 for an allergen air purifica- tion system. Find the mean and variance of the total amount spent by the four sampled homes. Give a range where this total is likely to fall.
Several methods of estimating the number of seeds in soil samples have been developed by ecologists. An article gave the accompanying data on the number of seeds detected by the direct method and by the stratified method for 27 soil specimens. Specimen Direct Stratified 1 21 7 2 34 38 3 0 7 4 60 58 5 20 54 6 61 61 7 40 27 8 7 7 9 14 7 10 94 100 11 1 0 12 67 58 13 78 67 14 21 54 Specimen Direct Stratified 15 34 27 16 0 0 17 38 38 18 18 14 19 94 94 20 1 14 21 40 47 22 21 21 23 0 0 24 7 14 25 14 40 26 18 14 27 40 78 Do the data provide sufficient evidence to conclude that the mean number of seeds detected differs for the two methods? Test the relevant hypotheses using ? = 0.05. (Use ?direct − ?stratified.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four…
Which set of data would probably show a strong positive linear correlation? a) the number of defective light bulbs produced and the time of the day when they were manufactured b) marks on a history test and the heights of the students c) the colour of cars sold and the annual income of the car buyers d) the height of corn in a field and the amount of precipitation during the growing season
Several methods of estimating the number of seeds in soil samples have been developed by ecologists. An article gave the accompanying data on the number of seeds detected by the direct method and by the stratified method for 27 soil specimens. Specimen Direct Stratified 1 21 6 2 32 38 3 0 6 4 60 58 5 20 52 6 61 61 7 40 26 8 6 6 9 12 6 10 92 100 11 1 0 12 66 58 13 78 66 14 21 52 Specimen Direct Stratified 15 32 26 16 0 0 17 38 38 18 18 12 19 92 92 20 1 12 21 40 46 22 21 21 23 0 0 24 6 12 25 12 40 26 18 12 27 40 78 Do the data provide sufficient evidence to conclude that the mean number of seeds detected differs for the two methods? Test the relevant hypotheses using ? = 0.05. (Use ?direct − ?stratified.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four…
A paper concluded that there was a correlation between refined sugar consumption (calories per person per day) and annual rate of major depression (cases per 100 people) based on data from six countries. The following data were read from a graph that appeared in the раper. Sugar Consumption Depression Rate Country Korea 160 2.4 United States 290 3.1 France 360 4.3 Germany 365 4.9 Canada 380 5.3 New Zealand 470 5.6 n USE SALT (a) Calculate the correlation coefficient for this data set. (Round your answer to four decimal places.) r = 0.9428 Interpret the correlation coefficient for this data set. O There is a weak, positive linear relationship between depression rate and sugar consumption. O There is no linear relationship between depression rate and sugar consumption. O There is a strong, negative linear relationship between depression rate and sugar consumption. O There is a weak, negative linear relationship between depression rate and sugar consumption. O There is a strong, positive…
1 a) Hair color is an True False example of a qualitative data.
A study is performed to assess the prevalence of use of anti-hypertensive medication (MEDS) in the non-institutionalized U.S. population. The following data are reported for MEDS status of the U.S. population by age-sex group: Table 1 Estimated MEDS Status of the U.S. Population by age and sex group, NHANES study 1999-2018 Males Females Age Group MEDS = yes Na Age Group MEDS = yes Na 18-29 160,617 23,069,867 18-29 168,940 22,132,949 30-39 899,152 18,690,754 30-39 759,532 18,937,878 40-49 2,264,304 18,316,125 40-49 2,257,203 18,816,304 50-59 3,215,688 15,022,905 50-59 4,059,363 15,997,653 60-69 2,936,183 8,400,156 60-69 4,260,975 10,993,805 70-79 1,677,664 4,012,930 70-79 2,953,646 6,012,728 aN = total sample size in specific age-sex groups. a. What is the prevalence of use of MEDS in 40-49 year-old females? b. Suppose a married couple consists…
Among the literature on quitting smoking are data detailing the relative successfulness of people of different ages in quitting smoking. A study of 400 adults who began various smoking-cessation programs produced the data in the table below. In the table, each participant is classified according to two variables: length of their smoking cessation period ("Less than two weeks", "Between two weeks and one year", or "At least one year") and age ("21-34", or "35 and over"). In the table, "less than two weeks" means that the individual returned to smoking within two weeks of beginning the program; "between two weeks and one year" means that the individual lasted the first two weeks without smoking but retuned to smoking within a year; and "at least one year" means that the individual has not smoked for at least a year since beginning the program. The table is a contingency table whose cells contain the respective observed frequencies of classifications of the 400 smokers. In addition, three…
his question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the archaeological excavation site? Two different excavation sites gave the information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools and excavation site are independent. Excavation Site Material Site A Site B Row Total Basalt 756 559 1315 Obsidian 92 103 195 Pedernal chert 514 521 1035 Other 88 91 179 Column Total 1450 1274 2724 (a) What is the level of significance? (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
The questions below are based on a dataset containing the characteristics of 5,407households. In particular, we will use the following variables:- size: home size, measured in square feet.- hhinc: annual household net income, measured in euros.- owner: dummy variable equal to 1 if the living space is owned, and 0 if the livingspace is rented.- hhsize1: dummy variable equal to 1 if the number of household’s members is 1 or2, and 0 otherwise.- hhsize2: dummy variable equal to 1 if the number of household’s members is 3 or4, and 0 otherwise.- hhsize3: dummy variable equal to 1 if the number of household’s members is 5 orabove 5, and 0 otherwise.- edu: education level of household’s members. We conduct a simple regression of size on hhinc, now using robust standard errors.The regression output is reported in Table 2. Why are the estimated coefficients inTable 2 equal to the estimated coefficients in Table 1? Do the conclusions on thestatistical significance at 5% of the coefficient of…
5. An article in Agricultural Engineering (December 1964, pp. 672-673) described an experiment in which the daily weight gain of swine is evaluated at different levels of housing temperature. The mean weight of each group of swine at the start of the experiment is considered to be a nuisance factor. The data from this experiment are as follows: Mean Weight (lbs) Housing Air Temperatures (°F) 100 50 60 70 80 90 1.37 1.58 2.00 1.97 1.40 100 0.39 150 1.47 1.75 2.16 1.82 1.14 -0.19 200 1.19 1.91 2.22 1.67 0.88 -0.77 Does housing air temperature affect mean weight gain at a = 0.05?

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