What is the slope of the line

Assignment Help Basic Statistics
Reference no: EM131404727

The average January temperatures (y) and geographic latitudes (x) of 20 cities in the United States were given in the table for Exercise 2. The regression equation for these data was given in Exercise 1 as = 1.26 - 2.34x. The value of r2 for this relationship is 73.3%. What is the correlation between average January temperature and latitude for these 20 cities?

Exercise 1
The average January temperatures (y) and geographic latitudes (x) of 20 cities in the United States were given in the table for Exercise 2. (The data are part of the temperature dataset on the companion website.) The regression equation for these data is

y^ = 1.26 - 2.34x

a. What is the slope of the line? Interpret the slope in terms of how mean January temperature is related to change in latitude.

b. Pittsburgh, Pennsylvania, has a latitude of 40, and Boston, Massachusetts, has a latitude of 42. Use the slope to predict the difference in expected average January temperatures for these two cities. Compare your answer to the actual difference in average January temperature for these two cities using the data shown in the table for Exercise 2.

c. Predict the average January temperature for a city with latitude 33.

d. Refer to part (c). Identify the two cities in the table that have a latitude of 33 and compute the residual (prediction error) for each of these cities. Discuss the meaning of these two residuals in the context of this example, identifying whether each city is warmer or cooler than predicted.

Exercise 2
The data in the following table are the geographic latitudes and the average August and January temperatures (Fahrenheit) for 20 cities in the United States. The cities are listed in geographic order from south to north. (These data are part of the temperature dataset on the companion website.)

1534_Table 07.jpg

a. Draw a scatterplot of y = August temperature versus x = latitude.

b. Is the pattern linear or curvilinear? What is the direction of the association?

c. Are there any cities that appear to be outliers because they don't fit the pattern of the rest of the data? If so, which city or cities are they?

Reference no: EM131404727

Questions Cloud

Discuss the abnormal child and adolescent psychology : You are a counselor in a child and adolescent center. Your boss asks you to see a mother with her 3-year-old son. The mother brings her son to your office, and they are hostile toward each other. She states that he is hyperactive and has ADHD. She..
Describe in detail the budgets that you work with : Describe in detail the budgets that you work with. Based on the effectiveness of the budget, what recommendations would you suggest to improve the communication and/or utilization of the budget(s)?
Do you agree with the given prediction : This prediction is based on extrapolation, which assumes that the current rate of increase will continue indefinitely. Is that a reasonable assumption? Do you agree with the prediction? Explain.
How does this compare against the result for an array list : An element can be inserted at or removed from the beginning, middle, or end of a linked list. Which of the three locations is the most computationally expensive, and why? How does this compare against the result for an array list?
What is the slope of the line : What is the slope of the line? Interpret the slope in terms of how mean January temperature is related to change in latitude.
Compute depreciation expense on the machine for year ending : ACC 5370- Compute depreciation expense on the machine for the year ending December 31, 2014, and the year ending December 31, 2015, using the following methods.
How did new deal legislation try to stabilize agriculture : What issue dominated the first 100 days of obama administration back in 2009? Why are the first 100 days so important for a president? How did new deal legislation try to stabilize agriculture and industry
How use of balanced scorecard can increase economic value : Explain each of your recommendations. Using these measures as examples, explain how use of the balanced scorecard can increase the economic value added within the organization.
Explain what you know and do not know about the strength : Suppose you know that the slope of a regression line is b1 = +3.5. Based on this value, explain what you know and do not know about the strength and direction of the relationship between the two variables.

Reviews

Write a Review

Basic Statistics Questions & Answers

  Net profit explained in terms of random variable

Whats the net profit explained in terms of random variable, mean and standard deviation of net profit?

  Technique of converging operations

Anthony is measuring his participants' emotional states in two different ways (self-report and galvanic skin response) in order to gain a greater confidence that he is actually measuring the emotional that he thinks he is.

  Calculate the value of the test statistic to two decimal

in order to increase revenue many video game publishers sell downloadable content dlc separately from the main game.

  Meat and poultry offerings

You are a restaurant manager. You must pick 13 entrees for your menu. There are 11 meat offerings and 7 poultry offerings to choose from.  (a) In how many ways can 13 entrees be randomly selected out of the 18 meat and poultry offerings? Show..

  Compute probability of receiving four calls in five minutes

Compute the probability of receiving four calls in a five-minute interval of time. Compute the probability of receiving more than 10 calls in a five-minute interval of time.

  Aptitude test for managers-selecting management trainees

A company adminsters an "aptitude test for managers" to aid in selecting new management trainees. Prior experience suggests that 60 percent of all applicants for management trainee positions would be successful if they were hired.

  Determining shape of chi-square distribution

Determine the shape of chi-square distribution?

  Computations of gender-job specifications

The Penguin Company employs 200 men and 50 women. Of the male employees, 140 work in the plant, 20 are in the office, and 40 are field salesmen.

  If n 20 and x 3 what is the mle of the probability 1 - p5

a diagnostic test for a certain disease is applied to n individuals known to not have the disease. let x the number

  Autism and related disorders affect

British scientists have developed a 15 minute brain scan they hope could be used to detect autism in children. Autism and related disorders affect up to 7 out of every 1000 individuals.

  Explain how sample size affect outcome of hypothesis test

Briefly explain how sample size affect outcome of hypothesis test. How does sample size affect measures of effect size?

  Using exponential smoothing with a smoothing constant

Three years ago, the admissions office for Ivy College began using exponential smoothing with a smoothing constant of 0.25 to forecast the number of applications for admission each year.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd