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.:- M920610

Have any Question? 


Related Questions in Statistics and Probability

A philosophy professor assigns letter grades on a test

A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 63% C: Scores below the top 37% and above the bottom 22% D: ...

1 why do researchers use inferential statistics2

1. Why do researchers use inferential statistics? 2. Distinguish between the null hypothesis and the experimental hypothesis. 3. When analyzing data, why do researchers test the null hypothesis rather than the experiment ...

Name and explain the contributions of three abolitionists

Name and explain the contributions of three Abolitionists that supported and helped African Americans before the Civil War fight slavery?

Please explain every step to make the sum understandableit

Please explain every step to make the sum understandable. It has been hypothesized that the distribution of seasonal colds in Canada is as follows: Season          Percentage Fall                    35% Winter            ...

A hospital emergency room analyzed n17665 hourly

A hospital emergency room analyzed n=17,665 hourly observations on its average occupancy rates using six binary predictor variables representing days of the week and two binary predictors representing the 8 hour work shi ...

In march 2010 a federal health-care law required chain

In March 2010, a federal health-care law required chain restaurants with 20 or more locations to post caloric information on their menus. The stated goal was to make it easier for consumers to select healthier options, b ...

Assignment1what is statistics2describe the differences

Assignment 1. What is statistics? 2. Describe the differences between inferential statistics and descriptive statistics. 3. The call center received 30 phone calls on a Monday, below is the number of minutes each call la ...

In a pulse rate research a simple random sample of 120 men

In a pulse rate research, a simple random sample of 120 men results in a mean of 80 beats per minute, and a standard deviation of 11 beats per minute. Based on the sample results, the researcher concludes that the pulse ...

Assume the sweatshirt test scores are normally distributed

Assume the sweatshirt test scores are normally distributed with a mean of 500 and a standard deviation of 100. (a) Consider all random samples of 100 test scores. What is the standard deviation of the sample means? (b) W ...

What was abraham lincolns view of slavery from the 1840s

What was Abraham Lincoln's view of slavery from the 1840s into the late 1850s, and how did it evolve? How did secession come about, and where did the sentiments for it originate? where did the sentiments for it originate ...

  • 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

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

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