+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.


Ask Question & Get Answers from Experts
Browse some more (Basic Statistics) Materials
Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclus
At a large department store, the amount a shopper spent and the shopper's gender (male or female) were recorded. To determine if gender is useful in explaining the amount of m
Three-month period actually exceeds 1.5 days. Would it be reasonable to conclude that the mean amount of unpaid time lost has increased above the previously estimated 1.0 da
The moment generating function of normal distributed random variable ,Y, with mean and variance .derive the moment generating function of X=-3Y+4.what is the distribution of
The batteries used in a digital watch have an operating life that is normally distributed. As sample of 18 batteries reveals a mean of 2.35 years and a standard deviation of
A study is conducted to determine if the traffic light patterns at a busy intersection need to be adjusted to help the flow of traffic. Data on the volume of traffic and the
How to determine the probability that a randomly selected player bats over 0.300? How to determine the probability that a team of 25 players will have a mean above 0.275?
The probability that a student passes a written test for a private pilot's license is 0.75. What is the probability that a student will fail the test on the first attempt