Give value of slope and interpret what it means in situation

Reference no: EM131404827

The regression relationship for y = student height and x = father's height for the 10 female students listed in the table for Exercise 3.12 and in the dataset UCDchap3 is

y^ = 19.42 + 0.658x

a. Give the value of the y-intercept. Does it have a meaningful interpretation in this situation? Explain.

b. Give the value of the slope and interpret what it means in this situation.

c. Use the equation to predict the height of a female student whose father is 70 inches tall.

d. One student was 67 inches tall and her father was 70 inches tall. Find the residual for this student and explain what it tells you about this student in relation to other female students whose fathers are 70 inches tall.

e. Would it make sense to use this regression equation to predict the height of a male student whose father is 70 inches tall? Explain.

Exercise
The following table shows sex, height (inches), and midparent height (inches) for a sample of 18 college students. The variable mid-parent height is the average of mother's height and father's height. (These data are in the dataset UCDchap3 on the companion website; they are sampled from the larger dataset UCDavis2.)

Sex, Height and Mid-Parent Height for 18 college students
Sex	Height	Mid-Parent Height
M	71	64.0
F	60	63.5
F	66	67.0
M	70	64.5
F	65	65.5
F	66	69.5
M	74	72.5
F	67	67.5
F	63	65.5
M	67	64.0
F	69	70.0
M	65	63.0
M	72	69.0
M	68	67.0
F	63	63.0
F	61	63.0
M	74	69.5
F	65	67.5

a. In the relationship between height and mid-parent height, which variable is the response variable (y) and which is the explanatory variable (x)?

b. Draw a scatterplot of the data for the y and x variables defined in part (a). Use different symbols for males and females.

c. Briefly interpret the scatterplot. Does the association appear to be linear? What are the differences between the males and females? Which points, if any, are outliers?

d. Calculate the difference between height and mid-parent height for each student, and draw a scatterplot of y = difference versus x = mid-parent height. Use different symbols for males and females. What does this graph reveal about the connection between height and midparent height?

Reference no: EM131404827

Questions Cloud

What are the benefits of these applications : Research how you can share calendars through Google calendars and other online calendar sharing programs. What are the benefits of these applications? What can be the areas for concern?

Discuss about the series of epidemics disease : One aspect of epidemiology is the study of the epidemic, endemic, and pandemic occurrence of disease(s).Some critics may argue diseases and conditions such as bird flu are endemic in many countries, and some may argue human immunodeficiency virus (..

Identify the major competitors in your market : Create a final report and presentation to deliver to the department heads. Identify what software products you would use to complete each of these tasks. How would you use them, and how would they work together to support your efforts?

What role has the internet played in political campaigns : What role has the Internet played in political campaigns? What role will it play in the future? Do you see the day when voting will happen through the Internet? Why or why not?

Give value of slope and interpret what it means in situation : Give the value of the y-intercept. Does it have a meaningful interpretation in this situation? Explain.- Give the value of the slope and interpret what it means in this situation.

How are businesses using social networking : Social networking seems to have taken over our lives! Almost everyone is on Facebook and Twitter. But is this a good thing?

Evaluate the internet options available in your area : Now that you've graduated, you are planning to move into your first apartment and leave behind the comforts of broadband access at the residence halls. Evaluate the Internet options available in your area.

Explain economic legal and regulatory forces and trends : Identify economic, legal, and regulatory forces and trends. Identify the major issues and/or opportunities that the company faces based on your analysis.

Describe the contents of a writing that would be sufficient : Describe the contents of a writing that would be sufficient to satisfy the statute of frauds under the common law. List the kinds of contracts that require a writing under the statute of frauds.

User Account

All Pages