An agronomist undertook an experiment to investigate the factors that potato harvest. In his research, agronomist decided to divide the farm into 30 half hectare plots and apply varies level of fertilizer. Potato was then planted and the harvest at the end of the season was recorded. Fertilizer(Kg) Harvest (tons) 210 43.5 220 40.0 230 48.0 240 65.0 250 80.0 260 85.0 270 95.0 280 80.0 290 97.3 Note: No excel ANOVA output allowed. Students need to show all the steps in calculations. You are required to; Find the simple regression line and interpret the coefficients. Find the coefficient of determination and interpret its value. Does the model appear to be a useful tool in predicting the potato harvest? If so, predict the harvest when 250KG of fertilizer is applied. If not explain why not.

An agronomist undertook an experiment to investigate the factors that potato harvest. In his research, agronomist decided to divide the farm into 30 half hectare plots and apply varies level of fertilizer. Potato was then planted and the harvest at the end of the season was recorded. Fertilizer(Kg) Harvest (tons) 210 43.5 220 40.0 230 48.0 240 65.0 250 80.0 260 85.0 270 95.0 280 80.0 290 97.3 Note: No excel ANOVA output allowed. Students need to show all the steps in calculations. You are required to; Find the simple regression line and interpret the coefficients. Find the coefficient of determination and interpret its value. Does the model appear to be a useful tool in predicting the potato harvest? If so, predict the harvest when 250KG of fertilizer is applied. If not explain why not.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Three different methods of tillage and four varieties were tested in a field experiment using a split-plot design in RCBD with tillage as the main plot factor and variety as the subplot factor. Yield (tons/ha) are recorded from the individual plots and are given below. Analyze the data and draw your conclusion. Use 0.05 level of significance. 1. Provide descriptive statistics for each level of the two factors I already provide it, can you INTERPRET the tables
Doctors are interested in the relationship between the dosage of a medicine and the time required for a patient's recovery. Table 2 shows, for a sample of 10 patients, dosage levels (in grams) and recovery times (in hours). These patients have similar characteristics except for medicine dosages. Table 2: Dosage Level and Recovery Time Patient Dosage Level Recovery Time 1 1.2 25 2 1.3 28 3 1.0 40 4 1.4 38 1.5 10 6. 1.8 9. 7 1.2 27 8. 1.3 30 9. 1.4 16 10 1.3 18 a. Estimate the linear regression of recovery time on dosage level. b. Compute R2 and interpret it. c. Perform an F test of goodness of fit at the 5% significance level.
The Ministry of Manpower conducted an analysis of retail workers. A random sample of workers was asked a series of questions regarding workplace satisfaction and personal circumstances. Some of the variables and their definitions were as follows: AGE: GENDER: SALARY: POSITION: SERVICE: TRAVELTIME: the age of the worker (in years). the worker's gender. the worker's annual salary (in dollars). the worker's occupation within the industry, coded as 1= Sales Assistant, 2=Supervisor, 3-Manager. the length of service with current employer (recorded in days) the time the worker took to travel to work on their last work day before the interview (in minutes).
Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in 2 hours). 3.2 1.5 1.7 2.5 3.0 2.5 2.3 1.8 3.7 2.7 With a 0.05 level of significance, test to see whether the mean tree-planting time differs from two b. Compute the sample mean. (to 2 decimals) c. Compute the sample standard deviation. (to 4 decimals) d. Find the test statistic and p -value. (to 3 decimals) p-value: here is the choices lower than 0.01 between 0.01 and 0.025 between 0.05 and 0.0250 between 0.05 and 0.10 between 0.10 and 0.20 greater than 0.20 e. What is your conclusion? We do or do not reject the null…
Sulfite is a drug used to treat asthma. In a sample of 400 patients treated at ridge hospital with sulfite, 26% of them said they were quickly relieved. Use this information to answer the following questions: I. What is the variable in the study? ii. What is the population? iii. What is the sample size?
Answer this question in R. Show as much of your work as possible.
A firm produces bolts whose length x is normally distributed with a Me = 78.3 mm and a SD = 1.4mm. If any bolt longer than 80mm has to be discarded, what proportion of the firm's production will be lost?
2. A real estate expert wanted to find the relationship between the sale price of houses and various characteristics of the houses. He collected data on five variables, recorded in the table, for 12 houses that were sold recently. The five variables are: Sale price of a house in thousands of dollars. Size of the lot in acres. Price: Lot Size: Living Area: Living area in square feet. Age: Type of house: town house (T) or Villa (V) Age of a house in years. Living Area Price Lot Size Age Туре of house 255 1.4 2500 8 T 178 0.9 2250 12 263 1.8 2900 127 0.7 1800 24 305 2.6 3200 10 164 1.2 2400 18 245 2.1 2700 9 146 1.1 2050 28 287 2.8 2850 13 189 1.6 2600 9 211 1.7 2300 8. 123 0.5 1700 11 a) Find the general regression equation b) Which independent variables are linearly related to price? c) How is the fit of the model? E BBBB BB>>}>> >{
Average prices (in dollars) were recorded for three types of beverage across all 8 major Australian states and territories. In how many states/territories is the average price of a cappuccino higher than the average price of a flat white? x axis = states y axis = average prices
One study investigated whether the thickness of the banana peel is related to the banana variety and the fertilizer used. The research examined 4 different banana varieties and 3 different fertilizers.The following values were calculated from the data:SSr = 3.4 SSc =1.3 SSe =1.2The research first set out to find out if there is a difference in the average thickness of the banana peel between the fertilizers used. The used fertilizers are presented in the material with columns.Calculate the p-value of the test. Give the answer to two decimal places. Remember the correct decimal separator.
Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for the plant- ing of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours).2.1 2.2 1.7 1.6 2.3 3.1 1.5 2.6 2.4 2.2 With a .05 level of significance, test to see whether the mean tree-planting time differs from two hours. a. State the null and alternative hypotheses. b. Compute the sample mean. c. Compute the sample standard deviation. d. What is the p-value? e. What is your conclusion?
The data used is from college campuses. The variables used in the analysis below include: crime, total campus crime; enroll, total enrollment; police, employed officers. Use the estimated OLS models to answer the questions below: Model A: In(crime) = -6.631 + 1.270ln(enroll), (1.034) (.110) n = 97; R² = .5804 Model B: In(crime) = -4.794 + .923ln(enroll) (.144) (1.112) n = 97; R² = .632 +.516ln(police), (.149) Using Model A, test the null hypothesis that elasticity of crime with respect to enrollment is unit elastic, i.e. equal to one (against a two-sided alternative). Calculate the t-statistic.