Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

Correlation Coefficient and Linear regression equation.

Throughout 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, 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 find out 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. Assume a linear relationship, use the least squares method to find the regression coefficients b0 and b1

2. Interpret the meaning of 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?  describe.

5. Find out the coefficient of determination, r2 and interpret its meaning.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M920608
  • Price:- $30

Guranteed 24 Hours Delivery, In Price:- $30

Have any Question? 


Related Questions in Statistics and Probability

1nbspthe owner of a professional basketball team claims

1) The owner of a professional basketball team claims that the mean attendance at games is over 25,000 and therefore the team needs a new arena. Determine whether the hypothesis test for this claim is left-tailed, right- ...

Paper should be between 800 and 1000 words in length it is

Paper should be between 800 and 1,000 words in length. It is due according to the due date on the course calendar. 1. Drawing on the readings and lectures, name at least three developments or factors that encouraged the ...

Using the table below compute the spearman rank correlation

Using the table below, compute the spearman rank correlation coefficient for the aggressiveness scores. Does this suggest that both twins tend to be similar in degrees of aggressiveness? Twin set 1 st  born aggressivenes ...

Net exports are calculated by subtracting imports from

Net Exports are calculated by subtracting Imports from Exports. Assume Exports and Imports are independent of one another.  If mean exports are $25M with a standard deviation of $3.5M and mean imports are $30M with a sta ...

Best ribs wishes to pay off a debt of 40000 in 7 years what

Best Ribs wishes to pay off a debt of $40,000 in 7 years. What amortization payment would they need to make each six months, at 6% interest compounded semiannually? (Use Table 12-2 from your text) $3,541.05 $3,910.63 $2, ...

Part 11 a polling firm conducted a poll of 1000 randomly

Part 1. 1. A polling firm conducted a poll of 1000 randomly selected Georgia Stat University students and discovered that 47% of them voted for Bush in 2004. Nationwide Bush received 51.2% of the popular vote. Using this ...

Consider a sealed-bid first-price auction with two buyers

Consider a sealed-bid first-price auction with two buyers whose private values are independent; the private value of buyer 1 has uniform distribution over the interval [0, 3], and the private value of buyer 2 has uniform ...

When researchers set their alpha level at 05 they reject

When researchers set their alpha level at .05, they reject the null hypothesis (and conclude that the independent variable has an effect) only if there is less than a 5% chance that the differences among the means are du ...

A researcher was interested in the effects of weather on

A researcher was interested in the effects of weather on cognitive performance. He tested participants on either sunny or cloudy days, and obtained the following scores on a 10-item test of cognitive performance. Using t ...

Suppose that a certain college class contains 49 students

Suppose that a certain college class contains 49 students. Of these, 24 are seniors, 26 are English majors, and 9 are neither. A student is selected at random from the class. (a) What is the  probability  that the studen ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen