Find the linear regression equation for an approximate linear model for Gary's recent mountain bike rides. Use the data below. Let d be the ride distance in miles and t be the ride time in hours. time (hours) distance (miles) 20 18 1.1 8.9 16 14 1.14 10.21 1.18 11.11 12 10 1.21 11.55 1.39 11.96 1.43 12.1 1.5 12.98 0.25 0.5 0.75 1.25 15 1.75 a. State the linear equation: y=1.4668 +7.6584x × syntax error. Check your variables - you might be using an incorrect one. Round to the nearest hundredth. b. Interpret the slope: For each additional 1 hour Gary rides, he will travel about 7.66 miles miles further on average. c. Use your linear equation to estimate the distance of a 1.5-hour ride, to the nearest tenth of a mile. 1.5 X miles d. Interpret the correlation coefficient. The correlation coeficient tells us that as time increases, distance also increases. The correlation coeficient tells us that r = 0.897. The correlation coeficient tells us that there is a relatively strong linear relationship and that as time increases, distance also increases.
Find the linear regression equation for an approximate linear model for Gary's recent mountain bike rides. Use the data below. Let d be the ride distance in miles and t be the ride time in hours. time (hours) distance (miles) 20 18 1.1 8.9 16 14 1.14 10.21 1.18 11.11 12 10 1.21 11.55 1.39 11.96 1.43 12.1 1.5 12.98 0.25 0.5 0.75 1.25 15 1.75 a. State the linear equation: y=1.4668 +7.6584x × syntax error. Check your variables - you might be using an incorrect one. Round to the nearest hundredth. b. Interpret the slope: For each additional 1 hour Gary rides, he will travel about 7.66 miles miles further on average. c. Use your linear equation to estimate the distance of a 1.5-hour ride, to the nearest tenth of a mile. 1.5 X miles d. Interpret the correlation coefficient. The correlation coeficient tells us that as time increases, distance also increases. The correlation coeficient tells us that r = 0.897. The correlation coeficient tells us that there is a relatively strong linear relationship and that as time increases, distance also increases.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 5PPS
Related questions
Question
Transcribed Image Text:Find the linear regression equation for an approximate linear model for Gary's recent mountain bike rides.
Use the data below. Let d be the ride distance in miles and t be the ride time in hours.
time (hours)
distance (miles)
20+
18
1.1
8.9
16
1.14
10.21
14
1.18
11.11
12
10
1.21
11.55
1.39
11.96
6-
1.43
12.1
4
1.5
12.98
0.25
0.5
0.75
1.25
115
1.75
a. State the linear equation: y =1.4668 + 7.6584x x syntax error. Check your variables - you might
be using an incorrect one.
Round to the nearest hundredth.
b. Interpret the slope:
For each additional 1 hour
Gary rides, he will travel about 7.66 miles
miles
further on average.
c. Use your linear equation to estimate the distance of a 1.5-hour ride, to the nearest tenth of a mile.
1.5
X miles
d. Interpret the correlation coefficient.
O The correlation coeficient tells us that as time increases, distance also increases.
O The correlation coeficient tells us that r = 0.897.
O The correlation coeficient tells us that there is a relatively strong linear relationship and that as
time increases, distance also increases.
The coralation ceoficiont telle ue that there is a ralativelu ctrons Hnerral-tionchin
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning