+1-415-315-9853

info@mywordsolution.com

## Statistics

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

### Bob like peggy wants to know if his cookies are special but

Bob, like Peggy, wants to know if his cookies are special, but all he knows are the class average of 21.65 chips per cookie, and his own data for his 10 cookies: 12,14,15,12,12,13,17,15,15,22. Conduct all six steps of hy ...

### An insurance company checks police records on 1200 randomly

An insurance company checks police records on 1200 randomly selected auto accidents and notes that teenagers were at the wheel in 180 of them. Construct a 90% confidence interval estimate of the proportion of auto accide ...

### A researcher obtained a sample of 180 participants between

A researcher obtained a sample of 180 participants between the ages of 18 and 24 and calculated the phi coefficient between whether they smoked cigarettes and whether they used marijuana (yes vs. no). Because the correla ...

### The time spentin days waiting for a heart transplant in two

The time spent(in days) waiting for a heart transplant in two states for patients with type A+ blood can be approximated by a normal distribution, as shown in the graph to the right. Complete parts(a) and(b) below. μ = 1 ...

### The mean sat score in mathematics is 515 the founders of a

The mean SAT score in mathematics is 515 . The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course ...

### For a regression equation cancellations is my dependent

For a regression equation, "cancellations" is my dependent variable and I want to know how many cancellations will be at 6pm since hour is my independent variable. However, my "hour" variable is in data that ranges from ...

### How did the working class assert itself in europe during

How did the working class assert itself in europe during the late 18th century? provide examples and compare to the philosophy of social darwinism.

### 1 why do researchers calculate the coefficient of

1. Why do researchers calculate the coefficient of determination? 2. What does a coefficient of determination of .40 indicate?

### In 4-5 paragraphs describe gender roles how they were

In 4-5 paragraphs describe gender roles (how they were influenced/changed) though out middle ages (with specific examples of people, years etc.)

• 13,132 Experts

## 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.

### 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