PREALGEBRA EXAM
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/in Uncategorized /by AdminQUESTION 1.(a). A biologist assumes that there is a linear relationship between the amount of fertilizer supplied to tomato plant and the subsequent yield of tomatoes obtained. Eight(8) tomato plants of the same variety, were selected at random and treated, weekly, with a solution in which x grams(g) of fertilizer was dissolved in a fixed quantity of water. The yield y kilograms (kg) of tomatoes was recorded as follows.PlantABCDEFGHx1.01.52.02.53.03.54.04.5y3.94.45.86.67.07.17.37.7(i). Plot a scatterplot of yield, y against amount of fertilizer, x. ( 3 points)(ii). Calculate the equation of the least square regression line of y on x. ( 8 points)(iii). Estimate the yield of a plant treated, weekly, with a 3.2 grams of fertilizer.( 2 points)(iv). Indicate why it may not be appropriate to use your equation to predict the yield of a plant treated weekly with 20 grams of fertilizer. ( 2 points)(b). The table below shows a Verbal Reasoning test scores, x and an English test scores, y for each of a random sample of eight (8) children who took both testsChildABCDEFGHx112113110113112114109113y6965757070756876(i). Calculate the value of the product moment correlation coefficient between the scores in Verbal Reasoning and English. ( 8 points)(ii).Comment briefly, in context on the result obtained in part(i). ( 2 points)QUESTION 2.(a).(i).Suppose that the variables X and Y satisfy the four assumptions for regression inferences such that for samples of size n, each with the same values X1, X2, X3…………………… Xn, for the predictor variable, List the three properties that must hold for the slope b1 of the sample regression line.(ii).What distribution is used for the inferences for β1 (2 point).(iii).In a hypothesis test for the slope β1 such that Ho:β1=0 vs. Ha:β1≠0, write the formula for the test statistic and state its degrees of freedom. (2 point).(b).When you are asked to use the critical value approach to conduct a Regression t-test state the following.(i).Purpose (2 point).(ii).Assumptions (2 point).(iii).All the six steps (7 points) required to enable you to complete such a test.(c). Consider the following data on the age and price for a sample of eleven (11) Honda cars as displayed below.Age(yr) x54655566277Price($100) y851037082899866951697048At a 5% significance level, do the data provide sufficient evidence to conclude that age is useful as a linear predictor of price for the cars? .Use the critical value approach for your test.[Hint: Regression equation is yhat=195.47-20.26x, and Standard error of the estimate Se=12.58] (10 points).QUESTION 3.The following are the age and price (thousands of dollars) data for Corvettes from a car dealership in Sterling, Virginia. Find attached the DDXL output of the data from regression analysis.x(Age)6 6 6 2 2 5 4 5 1 4y(Price)290 280 295 425 384 315 355 328 425 325Dependent variable is y and independent variable is x.No Selector, 10 total cases.R2=93.7% R2 (adjusted)=92.9%S=14.25 with 10-2=8 degrees of freedomSource Sum of Squares df Mean Square F-ratioRegression 24057.9 1 24057.9 119Residual 1623.71 8 202.964Variable Coefficient s.e of Coeff t-ratio probConstant 456.602 11.43 39.9 <0.0001X -27.9029 2.56 -10.9 <0.0001(a).(i). From the DDXL output write the regression equation. (2 points)(ii).From the DDXL output, figure out the value of Se. (1 point)(iii). Calculate the value of Sxx from the databy using the values of x. (5 points).(b).Obtain a 90% confidence interval for the mean price of all 3-year old cars by using the conditional mean t-interval procedure on page#17 & page#18 of section E class lecture notes.[By using the values of Se from (a)-(ii) and Sxx from(a)-(iii), you can find (b)] (7 points)(c).Obtain a 90% prediction interval for the price of a 3-year old car by using the predicted value t-interval procedure on page#20 & page#21 of section E class lecture notes. .[By using the values of Se from (a)-(ii) and Sxx from(a)-(iii), you can find (c)] (7 points)(d). By comparing your results from (b) and (c) which interval is wider? and give two reasons why such results is expected. (3 points)
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Recap your ideas by summarizing the information presented in context of your chosen scenario.
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/in Uncategorized /by AdminCHP 1 Discussion – Security Architecture and Design Course
/in Uncategorized /by AdminWhat does an assessor need to understand before she or he can perform an assessment?Answer the question with a short paragraph, with a minimum of 300 words. APA formattingA minimum of two references are required. One reference for the book is acceptable but multiple references are allowed. There should be multiple citations within the body of the post. Note that an in-text citation includes author’s name, and year of publication.
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A technician charges $25 per hour plus $50 for a house call to repair home computers. Make a table and…
/in Uncategorized /by AdminA technician charges $25 per hour plus $50 for a house call to repair home computers. Make a table and a graph to show the cost for 1,2,3, and 4 hours of home computer repair services. Is there a direct variation?
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Review Federal and Defense Software Development Standards and Laws
/in Uncategorized /by AdminFor this assignment, you must extend the work you completed for the previous assignment by writing an APA styled paper that identifies the current laws, industry regulations, and standards that influenced your proposed actions to improve the secure software development for your selected organization.This is an idea-centric paper, not a review of sources. You are expected to review the current laws, industry regulations, and standards and synthesize your understanding in relation to your selected organization.Length: 9 pages, not including title and reference pagesReferences: Include a minimum of 7 scholarly resourcesYour submitted assignment should demonstrate thoughtful consideration of the ideas and concepts presented in the course and provide new thoughts and insights relating directly to this topic. Your response should reflect scholarly writing and current APA standards. Include a plagiarism report.
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