08 Jan a. Find the regression equation.

Regression (graded)

Suppose you are given data from a survey showing the IQ of each person interviewed and the IQ of his or her mother. That is all the information that you have. Your boss has asked you to put together a report showing the relationship between these two variables. What could you present and why?

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Here are a few questions that you can participate for discussion points from your study plan on correlation and regression. This may help you toward understanding concepts and also in the quiz for Week 3. Please work on only one question at a time. Answers will be posted on Saturday morning. Please download the file that has data.

I have attached Excel worksheet under “excel forum”. Delete the data from the cells and enter your data for graphing scatter plot, finding correlation and regression equation.

1. Construct a scatter plot and determine the type of correlation using r for the following data

The ages(in years) of 6 children and the number of words in their vocabulary

Age, x

1

2

3

4

5

6

Vocabulary size,y

250

950

1200

1450

1800

2650

a) Display the data in a scatter plot

b) Calculate the correlation coefficient r

c) Make a conclusion about the type of correlation

Study plan 9.1.22, 9.1.24

2. Suppose the scatter plot shows the results of a survey of 42 randomly selected males ages 24 to 35. Using age as the explanatory variable, choose the appropriate description for the graph, Explain your reasoning.

a) Age and body temperature

b) Age and balance on student loans

c) Age and income

d) Age and height

PLEASE SEE THE DOCUMENT ATTACHED FOR THIS GRAPH

The response variable is ____________ because you would expect this variable and age to have _________________ and ____________variation for adult males.

Study plan 9.2.17

3. Identify the explanatory and the response variable.

A farmer wants to determine if the temperature received by similar crops can be used to predict the harvest of the crop.

The explanatory variable is _________

The response variable is ____________

4. Find the equation of the regression line for the given data. The construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below.

Hours spent studying,x

Test score, y

0

41

2

42

3

49

4

47

4

64

5

67

a. Find the regression equation.

b. Scatter plot

c. Predict the value of y for x= 2

d. Predict the value of y for x=3.5

e. Predict the value of y for x= 12