Math 3339
Homework 7 (Chapters 9, 11 & 12)
Name:__________________________________ PeopleSoft ID:_______________
Instructions:
• Homework will NOT be accepted through email or in person. Homework must be submitted through CANVAS
BEFORE the deadline.
• Write your solutions in the space provided. You must show all work for full credit.
• Total possible points: 100.
1. *The following data is looking at how long it takes to get to work. Let x = commuting distance
(miles) and y = commuting time (minutes)
x 15 16 17 18 19 20
y 42 35 45 42 49 46
a. Give a scatterplot of this data and comment on the direction, form and strength of this relationship.
b. Determine the least-squares estimate equation for this data set.
c. Give the r2, comment on what that means.
d. Give the residual plot based on the least-squares estimate equation.
e. Test if this least-squares estimate equation specify a useful relationship between commuting
distance and commuting time.
, 2. *The following another set of data that looking at how long it takes to get to work. Let x = commuting
distance (miles) and y = commuting time (minutes)
x 5 10 15 20 25 50
y 16 32 44 45 63 115
a. Give a scatterplot of this data and comment on the direction, form and strength of this relationship.
b. Determine the least-squares estimate equation for this data set.
c. Give the r2, comment on what that means.
d. Give the residual plot based on the least-squares estimate equation.
e. Test if this least-squares estimate equation specify a useful relationship between commuting
distance and commuting time.
Problems came from Devore, Jay and Berk, Kenneth, Modern Mathematical Statistics with Applications, Thomson
Brooks/Cole, 2007.
Homework 7 (Chapters 9, 11 & 12)
Name:__________________________________ PeopleSoft ID:_______________
Instructions:
• Homework will NOT be accepted through email or in person. Homework must be submitted through CANVAS
BEFORE the deadline.
• Write your solutions in the space provided. You must show all work for full credit.
• Total possible points: 100.
1. *The following data is looking at how long it takes to get to work. Let x = commuting distance
(miles) and y = commuting time (minutes)
x 15 16 17 18 19 20
y 42 35 45 42 49 46
a. Give a scatterplot of this data and comment on the direction, form and strength of this relationship.
b. Determine the least-squares estimate equation for this data set.
c. Give the r2, comment on what that means.
d. Give the residual plot based on the least-squares estimate equation.
e. Test if this least-squares estimate equation specify a useful relationship between commuting
distance and commuting time.
, 2. *The following another set of data that looking at how long it takes to get to work. Let x = commuting
distance (miles) and y = commuting time (minutes)
x 5 10 15 20 25 50
y 16 32 44 45 63 115
a. Give a scatterplot of this data and comment on the direction, form and strength of this relationship.
b. Determine the least-squares estimate equation for this data set.
c. Give the r2, comment on what that means.
d. Give the residual plot based on the least-squares estimate equation.
e. Test if this least-squares estimate equation specify a useful relationship between commuting
distance and commuting time.
Problems came from Devore, Jay and Berk, Kenneth, Modern Mathematical Statistics with Applications, Thomson
Brooks/Cole, 2007.
