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

Related questions

Q: Cindy Lou Who is writing her doctoral thesis on marble culture in Whoville. She collected data from…

A: The sample size is .The represent the monthly income of the ith household. ( measured in $1000s).…

Q: Choose the variable that is unlikely to be correlated with the number of teachers in a city.…

A: Option A is the answer. Explanation : Here we are talking about number of teachers,but in option A…

Q: 2. A real estate expert wanted to find the relationship between the sale price of houses and various…

A: Introduction: The Price is being predicted, so that it is the response variable, whereas the lot…

Q: A survey shows that 3/5 Australian adults are overweight and 1/10 Australian adults are obese. What…

Q: 5. 223 More rain? The changing climate might affect the amount of rain that falls during different…

A: A group that receives a treatment in an experiment is known as the experimental group or treatment…

Q: The angronomist realized that he wanted his results to apply over a range of soil conditions. So, he…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: A horticultural research agency is trying to optimize the growth of the grass in an area for a new…

A: A horticulture research agency is trying to optimize the growth of the grass in an area for a new…

Q: Suppose automobile insurance companies gave annual premiums for top-rated companies in several…

Q: hoose the variable that is likely to be negatively correlated with the sale price of a new electric…

A: The correlation coefficient is computed by the researcher to identify the kind of relationship that…

Q: One operation of a mill is to cut pieces of steel into parts that will later be used as the frame…

A: a frequency distribution is a representation that gives the frequencies of the set of data values…

Q: Grintield Service company's marketing director is interested in analyzing the relationship between…

Q: How badly does logging damage tropical rain forests? One s ogged with similar plots nearby that had…

A: Given : One study compared forest plots in Borneo that had never been logged with similar plots…

Q: Given the following information, what adjustment would need to be made to account for the lot size…

A: Given:Lot size of subject property, in acres [S] = 0.83Lot size of comparable property, in acres [C]…

Q: Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor…

A: Given data is2.2,2.7,1.4,2.4,2.5,2.4,1.8,3.2,1.6,2.9sample size(n)=10significance level(α)=0.05

Q: The data below are for two different types of straw seed that were used on adjacent plots of land.…

Q: The spotted lanternfly, Lycorma delicatula, is an invasive species to the United States that has the…

A: Given that Length of insect: AVG = 1 inch, SD = 0.15 inchNumber of eggs: AVG = 40 eggs, SD = 5 eggsr…

Q: Which of the following are quantitative (numerical) variables for this study? Height Rabbit Sex…

A: It is given as the statement about to the data type of variable. Here, need to find out the correct…

Q: In quantitative research, the main difference between surveys and correlational research is ? A.…

A: Surveys and correlation research are research methods.

Q: 1. What do you call a set of data that involves B. bivariate A. univarite 2 variables? C. trivariate…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Mike Mochado is the head barrista at John's Java & Jerk, a local cafe serving coffee, cold…

A: Given : average weekly coffee bean usage = μ= 153.75 pounds standard deviation = σ= 55.35 pounds We…

Q: The data to the right represent the cost of living for 20 states. The cost of living average price…

A: The data to the right represent the cost of living for 20 states. The cost of living is a measure of…

Q: 2. MZABD= MZEFH MZDBC = mZ D B. C F

A: The above problem is solved.

Q: The variables used in the analysis below include: house price ($1000s) - price, lot size (square…

Question

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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

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.
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…
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
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.
Errors in medical prescriptions occur relatively frequently. In a study, two groups of doctors had similar err rates and one group switched to e-prescriptions while the other continued with hand-written prescriptions. C year later, the number of errors was measured. The results are given in the two-way table. No Error Error 254 Electronic 3594 Written 1478 2370 a). Fill in the row and column totals. b). What proportion of all the prescriptions had errors in them? c). What proportion of electronic prescriptions had errors in them? d). What proportion of written prescriptions had errors in them? e). What proportion of the prescriptions with errors were written prescriptions?
A marketing manager for a large cafeteria chain wished to investigate sales of coffee (i.e., sales is the variable she is trying to understand). Fourteen cafeterias that were similar in such respects as volume of business, type of clientele, and location were chosen for data collection. Data were collected on sales of coffee (in hundreds of gallons) and the number of coffee dispensers within the cafeteria. The results are shown below. Sales Number of Dispensers 631.9 1 628 1 692.5 2 688.4 2 747.4 3 773.3 3 791.4 4 803.4 4 838.7 5 879.6 5 881 6 841.1 6 860.6 7 883.8 7 Create a scatter plot and then fit a quadratic model to predict sales from the number of dispensers. If we define y to be sales (in hundreds of gallons) and x to be the number of dispensers, what is the correct quadratic model? Group of answer choices a. y=-6.397x2+92.85x+538.06 b. y=41.67x+614.829 c. y=0.022x-12.979 d. y=3.348x10-5x2-0.0292x+6.09 e. y=623.521x0.180
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. Price Lot Size Living Area Age Туре of house 255 1.4 2500 8 T 178 0.9 2250 12 T T. T. T. 263 1.8 2900 5 0.7 2.6 127 1800 24 305 3200 10 164 1.2 2400 18 245 2.1 2700 T V 146 1.1 2050 28 287 2.8 2850 13 V 189 1.6 2600 9 211 1.7 2300 8 V 123 0.5 1700 11 V a) Find the regression equation for the town house b) Find the regression equation for the Villa c) What is the price of a town house with a lot size of 1.3, living area of 1800, and is 7 years old? EBBBBE A> >}>l> >{
A health-conscious company decides to make a trail mix out of almonds, dried cranberries, and chocolate-covered cashews. The nutritional information for these items is shown in the table below. Almonds Cranberries Cashews (per 10 pieces) (per 10 pieces) (per 10 pieces) Fat (g) 6. 0,02 Protein (g) 2 3.5 Carbohydrates (g) 8 5.5 For the "hiking" mix, there are 1,000 total pieces of mix. The total amount of protein is 55 g, and the total amount of fat is 131.6 g. If there are the same number of almonds as cashews, how many pieces of each item are in the trail mix? almonds pieces cranberries pieces cashews pieces Additional Materials