The income of farmers depends on various factors. To predict the income of the next year, a study wasundertaken and data was gathered considering as many as possible factors that might influence theyearly income. Regression methods are used to create such a prediction function, that is, we want topredict the profit for the next year. The following were determined.X₁ = SIZE - farm size recorded x 1000 hectaresX₂ = AGE - how long the farm has been in operation in yearsX3 = RATIO- the ratio of land size to field size recorded as 0.5, 0.75, 0.8 and 0.9X4 = METHOD - rotational and non rotational method of plantingŶ = INCOME the income per year recorded in x R 1 000 000.00The partial dataset is as followsINCOME Y1.32.43.21.52.1a.C.Standardized ResidualSample Quantiles15 201.0-0.8-0.6-04-02-0.0-SIZE X₁255821.21.5PredictedTheoretical Quantiles45AGE X₂2201001.1. The analyst did some exploratory analysis and below are some of the residual plots he constructed.Study the plots and answer the questions that follows.805011b.3RATIO X3Standardized Residual0.50.750.80.80.75100 120 140 160 180METHOD X4PredictedRotationalRotationalNon-rotationalRotationalNon-rotationalDiagnose each of the possible problems that are displayed in the plots. If applicable also mentiona formal way to test that it is indeed a problem. Also, when a problem is diagnosed, provide apossible remedial measure to remedy the problem.1.2. In order to prepare the dataset for modelling, it became clear that RATIO repeats with similarvalues. The analyst decided to regard them also as categorical variables. Amend the dataset fullyin order to build a regression model. Use an ascending order in the coding structure.

From the given information, Income (Y) is dependent variable. The independent variables X1,X2,X3 and…

The income of farmers depends on various factors. To predict the income of the next year, a study was undertaken and data was gathered considering as many as possible factors that might influence the yearly income. Regression methods are used to create such a prediction function, that is, we want to predict the profit for the next year. The following were determined. X₁ = SIZE - farm size recorded x 1000 hectares X₂ = AGE - how long the farm has been in operation in years X3 = RATIO - the ratio of land size to field size recorded as 0.5, 0.75, 0.8 and 0.9 X4 = METHOD - rotational and non rotational method of planting Ŷ = INCOME - the income per year recorded in x R 1 000 000.00

The income of farmers depends on various factors. To predict the income of the next year, a study was undertaken and data was gathered considering as many as possible factors that might influence the yearly income. Regression methods are used to create such a prediction function, that is, we want to predict the profit for the next year. The following were determined. X₁ = SIZE - farm size recorded x 1000 hectares X₂ = AGE - how long the farm has been in operation in years X3 = RATIO - the ratio of land size to field size recorded as 0.5, 0.75, 0.8 and 0.9 X4 = METHOD - rotational and non rotational method of planting Ŷ = INCOME - the income per year recorded in x R 1 000 000.00

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.