Persons and Consumption. Calculate the coefficient ofcorrelation between the number of workers (x) and the bales ofraw cotton consumed (y) in a textile mill:Year: 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974x : 368384 385361347 384 395 403 400385y :2221 2420222626 292827

Given: The data values Year 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 x 368 384 385 361…

Answered: Persons and Consumption. Calculate the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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3. The police department is assessing its staffing requirements. The department expects that the number of serious crimes committed, C, on average each week is proportional to the number of officers, P, on special street patrol. Data for the past year has been collected and some of it is shown below: P 4 7 9 11 15 17 с 14 11 10 9 7 5 a) Neatly sketch a scatter plot of the data on graph provided below. Which variable is the independent variable that should be plotted on the horizontal axis? Notice that the data seem to fall in a linear pattern. Draw the best-fit line through the data. Label your axes, indicate the scale, and title your graph. Why has only the first quadrant been provided for the graph? b) Look at your best-fit line and identify two good coordinate points that sit right on this best-fit line:
2. The number of hours 13 students spent working on a project and the grade they earned Hours spent on 6| 7 1 2 4 4 5 7 8 project, x Project Grade, y 50 65 71 78 74 70 83 85 98 85 84 90 95 type of correlation: Conclusion: 6
A company has the following monthly sales for the past year. Plot the data points on a line graph and describe the results. Month Sales 1 145 2 146 3 145 4 150 5 148 6 150 7 156 8 160 9 158 10 153 11 152 12 154
This table shows the minutes students spent studying for their science exam and the scores they received. Study time (min) 19 12 34 10 17 42 60 15 9 21 30 50 Exam score 82 78 90 78 85 97 100 85 73 90 91 98 Use a graphing calculator to model the data using a linear function. What is the correlation coefficient of the data? −0.74 −0.48 0.93 0.98
Please answer the whole question (2) Let x be the age of a licensed driver in years. Let y be the percentage of all fatal accidents (for a given age) due to failure to yield the right of way. For example, the first data pair states that 5% of all fatal accidents of 37-year-olds are due to failure to yield the right of way. x 37 47 57 67 77 87 y 5 8 10 15 27 44 Complete parts (a) through (e), given Σx = 372, Σy = 109, Σx2 = 24814, Σy2 = 3079, Σxy = 8043, and r ≈ 0.927. (a) Draw a scatter diagram displaying the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two…
A researcher wants to determine if the exam scores of the students are dependent on the length of time spent in studying the subject. Ten students in a certain class were taken and the results are shown in the table below where X is the time spent in studying the subject in hours and Y is the examination scores. X (time) Y (score) 1.5 80 3.0 83 1.25 83 0.5 70 3.5 85 2.5 75 1.0 70 3.0 90 2.5 86 4.0 91 Determine the simple linear regression equation Y = a + bX. (round off values up to 1 decimal place)
3. The speed (in miles per hour) of 8 vehicles and their braking distance (in feet) when stopping on a dry surface speed, x braking distance, y 20 30 40 50 50 60 65 70 55 72 75 110 138 162 193 225 type of correlation: Conclusion
using the excel data ... College Student Weekly Earnings in Dollars (n = 5) Hours Worked (X) Weekly Pay (Y) (xi - x̅)2 (yi - y̅)2 (xi - x̅)(yi - y̅) 11 95 16 173 22 210 18 157 30 270 x̅=?????? y̅=??????? SSxx SSyy SSxy
Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. (b) Would you say the correlation is low, moderate, or strong? positive or negative? a) moderate and positiveb) low and negative c) strong and positived) strong and negativee) low and positivef) moderate and negative As x increases, does the value of r imply that y should tend to increase or decrease? Explain. a) Given our value of r, y should tend to decrease as x increases.b) Given our value of r, y should tend to remain constant as x increases. c) Given our value of r, y should tend to increase as x increases.d) Given our value of r, we cannot draw any conclusions for the behavior of y as x increases.
A group of farmer wants to know the correlation between the certain amount of fertilizer and the crops yield. With the same land area and different amount of fertilizer yields the following crops. Fertilizer 23 18 15 12 13 14 15 23 20 20 19 22 12 10 16 crops 78 66 54 48 65 71 77 57 69 74 56 60 54 59 63 Does it appear there is relationship between the fertilizer and crops? Compute the coefficient of correlation. Determine at 0.05 level of significance whether the correlation is greater than zero.
Table 9.3 Total cholesterol in 25 patients after taking new statin drug. .. Population mean is 200. Cholesterol levels 219 191 198 214 163 264 248 182 235 209 152 148 145 189 213 230 181 180 100 219 102 249 282 188 264 D. b. Describe the effects of the statin drug on your sample. Do you see any change in the level of cholesterol after taking the drug? c. What is your research question? What are the null and alternative hypotheses? Decide if you want to do a one-tailed or two-tailed test. d. What test? Perform it? What is your critical value? Sketch a normal distribution and draw the critical value or values of z. f. What is your conclusion?

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Persons and Consumption. Calculate the coefficient of correlation between the number of workers (x) and the bales of raw cotton consumed (y) in a textile mill: Year 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 368 384 385 361 347 384 395 403 400 385 22 21 24 20 22 26 26 29 28 27 x : y :