+1-415-670-9189
info@expertsmind.com
Least squares method to find regression coefficients
Course:- Basic Statistics
Reference No.:- EM1319859




Assignment Help
Assignment Help >> Basic Statistics

During the fall harvest season in the United States, pumpkins are sold in large quantities at farm stands.  Often, instead of weighing the pumpkins prior to sale, the farm stand operator will just place the pumpkin in the appropriate circular cutout on the counter.  When asked why this was done, one farmer replied, "I can tell the weight of the pumpkin from its circumference." To determine whether this was really true, a sample of 15 pumpkins were measured for circumference and weighed with the following results.

Circumference (CM)

Weight (Grams)

50

1200

55

2000

54

1500

52

1700

37

500

52

1000

53

1500

47

1400

51

1500

63

2500

33

500

66

2500

83

4600

60

2300

59

2100

1. Assuming a linear relationship, use the least squares method to find the regression coefficients b0 and b1

2. Interpret the meaning of the slope b1 in this problem.

3. Predict the average weight for a pumpkin that is 60 centimeters in circumference.

4. At the 0.05 level of significance, is there evidence of a linear relationship between the circumference and the weight of a pumpkin? Explain.




Put your comment
 
Minimize


Ask Question & Get Answers from Experts
Browse some more (Basic Statistics) Materials
For example, electricity costs are $1,200 per month plus $0.15 per car washed. The company expects to wash 9,000 cars in August and to collect an average of $4.90 per car wa
Once you are done with this problem go to a web and do a quick research of how probabilities are used in different disciplines and share an article that shows this. Summariz
After completing Exercise 10.5: Risk Exposure Calculator, determine if the success of your change initiative in the safety, cautionary or danger zone. What could be done to
The airplane will make a successful flight if at least 50 percent of its engines remain operative. For what values of p is a 4-engine plane preferable to a 2-engine plane?
The sales of the bicycle (in thousands of dollars) and also the levels of media expenditure (in thousands of dollars) during the test month are recorded. State the multiple
Explain a scenario associated to final project in which you would utilize repeated-measures ANOVA. Explain a scenario associated to final project in which you would use MANOVA
Determine the probability that sample mean will be greater than M=510. In symbols, what is p(M>510)? Determine the probability that sample mean will be greater than M=520.
Let X1,..., Xn be a random sample recorded as heads or tails resulting from tossing a coin n times with unknown probability p of heads. Find the MLE pˆ of p. Also using the