QUESTION 16Problem 4c:A forester has a unique ability to estimate the volume (in cubic feet) of trees prior to a timber sale. The timber company wants him to train otheremployees in his technique of estimation. The forrester's assistant estimates the cubic-foot volume of each tree. After the tree has been chopped down,the forresters obtains the actual cubic-foot volume for a total of 26 trees.A regression model was fitted to the data, with the Estimated Volume y fitted against the Actual Volume x of each tree. The results of the regression areshown below:CoefficientsAnalysis of VarianceModel SummarySourceDF Adj SS Adj MS F-Value P-ValueTermCoef SE Coef T-Vaage P-ValueConstant 1.845R-sq R-sq(adj)Regression 1 234.31 234.315 294.810.0000.8562.150.0410.891520 92.47%165קפError24 19.080.795Act vol 0.7830 0.045617.170.000Total25 253.39c) Determine the correlation r between the actual and estimated volumes for this assistant. Report your result as a proportion (i.e. not as apercentage) with 3 decimals.

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Answered: QUESTION 16 Problem 4c: A forester has…

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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A researcher is interested in finding out the factors which determined the yearly spending on family outings last year (Y, measured in dollars). She compiles data on the number of members in a family (X1), the annual income of the family (X2), and the number of times the family went out on an outing in the last year (X3). She collects data from 196 families and estimates the following regression: Y=120.45+1.54X1+2.12X2+2.12X3. Suppose β1, β2, β3, denote the population slope coefficients of X1, X2, and X3, respectively. The researcher wants to check if neither X1 nor X2 have a significant effect on Y or at least one of them has a significant effect, keeping X3 constant. She calculates the value of the F-statistic for the test with the two restrictions (H0: β1=0, β2=0 vs. H1: β1≠0 and/or β2≠0) to be 3.00. The p-value for the test will be enter your response here?
QUESTION 15 Problem 4b: A forester has a unique ability to estimate the volume (in cubic feet) of trees prior to a timber sale. The timber company wants him to train other employees in his technique of estimation. The forrester's assistant estimates the cubic-foot volume of each tree. After the tree has been chopped down, the forresters obtains the actual cubic-foot volume for a total of 26 trees. A regression model was fitted to the data, with the Estimated Volume y fitted against the Actual Volume x of each tree. The results of the regression are shown below: Coefficients Analysis of Variance Model Summary DF Adj SS Adj MS F-Value P-Value 1 234.31 234315 294.81 Source Term Coef SE Coef T-Value P-Value R-sq R-sq(adj) 92.16% Regression 0.000 Constant 1.845 0.856 2.15 0.041 0.891520 92.47% Error 24 19.08 0.795 Act vol 0.7830 0.0456 17.17 0.000 Total 25 253.39 b) If the assistant is producing an accurate estimate of the volume, it is reasonable to expect that the slope 8, = 1. In a test…
The local coffee shop keeps track of how much coffee they sell versus the temperature on that day, here are their figures: Sales in Php 1651 1757 1437 1525 1349 1231 Temp in Celsius 21.6 22.6 25 27.3 29.8 30.1 Suppose you want to create a regression equation that will predict the total sales in Php using the temperature of the day in Celcius, what is the total sales for the day in Php if the temperature is 31.5? Round your answers to the nearest hundredths.
QUESTION 18 Problem 4e: A forester has a unique ability to estimate the volume (in cubic feet) of trees prior to a timber sale. The timber company wants him to train other employees in his technique of estimation. The forrester's assistant estimates the cubic-foot volume of each tree. After the tree has been chopped down, the forresters obtains the actual cubic-foot volume for a total of 26 trees. A regression model was fitted to the data, with the Estimated Volume y fitted against the Actual Volume x of each tree. The results of the regression are shown below: Analysis of Variance Coefficients Model Summary DF Adj SS Adj MS F-Value P-Value 1 234.31 234315 294.81 Source Term Coef SE Coef T-Value P-Value 0.000 R-sq R-sq(adj) 92.16% Regression Constant 1.845 0.856 2.15 0.041 0.891520 92.47% Error 24 19.08 0.795 Act vol 0.7830 0.0456 17.17 0.000 Total 25 253.39 e) A prediction of y for x-15 was performed based on the fitted regression, with the following results: Settings Prediction…
Question 8 please
The U.S. online grocery market is estimating sales worth approximately $29.7 billion by 2021. One of the biggest situational factors that influence the amount spent by a customer is the distance that that customer lives from its closest grocery store. Using the OLS method, the simple regression equation was estimated as: y = 40 + 3.5x. Find 1) the predicted amount a customer spends if they live 10 miles from the closest grocery store, as well as 2) the error amount. Note: the observed amount spent by a customer that lives 10 miles away is $85.50. a) $75.00, $10.50 Ob) $75.00, -$10.50 c) $73.00, $12.50 d) $73.00, -$12.50
Using the weights (Ib) and highway fuel consumption amounts (mi/gal) of the 48 cars listed in the accompanying data set, one gets this regression equation: y = 58 9-0.00749x, where x represents weight Complete parts (a) through (d). Click the icon to view the car data. 東 b. What are the specific values of the slope and y-intercept of the regression line? O A. The slope is 58.9 and the y-intercept is 0.007499. B. The slope is -0.00749 and the y-intercept is 58.9. O C. The slope is 58.9 and the y-intercept is -0.00749. O D. The slope is 0.00749 and the y-intercept is 58.9. c. What is the predictor variable? O A. The predictor variable is highway fuel consumption, which is represented by x. B. The predictor variable is weight, which is represented by x. O C. The predictor variable is weight, which is represented by y O D. The predictor variable is highway fuel consumption, which is represented by y. d. Assuming that there is a significant linear correlation between weight and highway fuel…
Hazel has four very short children and wants to predict how tall the kids will be in the future, as they get older she measures their height and finds: Rufus, age 3, 46 cm in height Angus, age 4, 52 cm in height matilda, age 6, 63 cm in height Lao age 8, 85 cm in height Round to the nearest integers, what is the regression equation computed from the data
The City of Bellmore’s police chief believes that maintenance costs on high-mileage police vehicles are much higher than those costs for low-mileage vehicles. If high-mileage vehicles are costing too much, it may be more economical to purchase more vehicles. An analyst in the department regresses yearly maintenance costs (Y) for a sample of 200 police vehicles on each vehicle’s total mileage for the year (X). The regression equation finds: Y = $50 + .030X with a r2 of .90 What is the IV? What is the DV? If the mileage increases by one mile, what is the predicted increase in maintenance costs? If a vehicle’s mileage for the year is 50,000, what is its predicted maintenance costs? What does an r2 of .90 tell us? Is this a strong or weak correlation? How can you tell?
A math professor selects 8 students at random from her calculus class and asks them to record their study times. After two weeks, she gives an exam. the number of hours, x, of study time and the test score, y, yield the following sample data summary: Ex = 117 Ey = 660 8 %3| n 3= Ea2 = 1869 54638 9519 The professor is a bit surprised. a) Find the equation of the regression line. b) Use the regression line to predict the score of a student who studies for 20 hours over the two weeks.
For problem 6 you will access the file Grocery Data spreadsheet from Blackboard. Then copy and paste it into Minitab. This data set comes from a sample of purchases from a grocery store. The variables are the number of items (items) and the purchase price in dollars. 6. Use Minitab to find the regression equation using x = items and y = price. Copy or type your answer, no work needed. Age Gender Height Arm Length Number Siblings Birth Order Handedness Number Classes Number Credits Hrs. Exercise Athlete at Broome Hrs. TV Award Pulse Number Piercings Facebook Friends Followers on Instagram Tattoo Division Local section 18 f 63 27.5 2 3 r 4 14 1.5 n 3 NP 74 2 82 72 n HS y 4 19 m 74 31.5 4 5 r 4 11 5 n 1.5 O 0 600 700 n STEM y 4 17 f 66 29.2 2 2 l 6 15 5 y 21 NP 64 2 1801 1370 n HS y 4 18 f 66 30 5…

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