This module provides a lab of Linear Regression and Correlation as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.
Class Time:
Names:
Student learning outcomes:
The student will calculate and construct the line of best fit between two variables.
The student will evaluate the relationship between two variables to determine if that relationship is significant.
Collect the data
Use 8 members of your class for the sample. Collect bivariate data (distance an individual lives
from school, the cost of supplies for the current term).
Complete the table.
Distance from school
Cost of supplies this term
Which variable should be the dependent variable and which should be the independent
variable? Why?
Graph “distance” vs. “cost.” Plot the points on the graph. Label both axes with
words. Scale both axes.
Analyze the data
Enter your data into your calculator or computer.
Write the linear equation below, rounding to 4 decimal places.
Calculate the following:
=
=
correlation =
=
equation:
=
Is the correlation significant?
Why or why not? (Answer in 1-3 complete sentences.)
Supply an answer for the following senarios:
For a person who lives 8 miles from campus, predict the total cost of supplies this term:
For a person who lives 80 miles from campus, predict the total cost of supplies this term:
Obtain the graph on your calculator or computer. Sketch the regression line below.
Discussion questions
Answer each with 1-3 complete sentences.
Does the line seem to fit the data? Why?
What does the correlation imply about the relationship between the distance and the cost?
Are there any outliers? If so, which point is an outlier?
Should the outlier, if it exists, be removed? Why or why not?
Step 1: Find the mean. To find the mean, add up all the scores, then divide them by the number of scores. ...
Step 2: Find each score's deviation from the mean. ...
Step 3: Square each deviation from the mean. ...
Step 4: Find the sum of squares. ...
Step 5: Divide the sum of squares by n – 1 or N.
The sample of 16 students is taken. The average age in the sample was 22 years with astandard deviation of 6 years. Construct a 95% confidence interval for the age of the population.
Bhartdarshan' is an internet-based travel agency wherein customer can see videos of the cities they plant to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400
a. what is the probability of getting more than 12,000 hits?
b. what is the probability of getting fewer than 9,000 hits?
Bhartdarshan'is an internet-based travel agency wherein customer can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits