The table shows the yield (in bushels per acre) and the total production (in millions of bushels) for corn in a country for selected years since 1950. Let x represent years since 1900. Year Yield Find a logarithmic regression model (y = a + b In x) for the yield. Estimate the yield in 2024. 1950 50 43 1960 60 56 79 1970 1980 70 80 102 1990 90 119 2000 100 110 144 148 2010 The regression model is y = - 530.6 +( 144.7 )ln x. (Round to one decimal place as needed.) The estimated yield in 2024 is bushels/acre. (Round to the nearest integer.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time...
icon
Related questions
icon
Concept explainers
Question
The table shows the yield (in bushels per acre) and the total production (in millions of bushels) for corn in a country for selected years since 1950. Let x represent years since 1900.
Find a logarithmic regression model (y = a + b In x) for the yield. Estimate the yield in 2024.
Year
X
Yield
1950
50
43
1960
60
56
1970
70
79
1980
80
102
1990
90
119
2000
100
144
2010
110
148
The regression model is y =
- 530.6 + ( 144.7 )In x.
(Round to one decimal place as needed.)
The estimated yield in 2024 is
bushels/acre.
(Round to the nearest integer.)
Transcribed Image Text:The table shows the yield (in bushels per acre) and the total production (in millions of bushels) for corn in a country for selected years since 1950. Let x represent years since 1900. Find a logarithmic regression model (y = a + b In x) for the yield. Estimate the yield in 2024. Year X Yield 1950 50 43 1960 60 56 1970 70 79 1980 80 102 1990 90 119 2000 100 144 2010 110 148 The regression model is y = - 530.6 + ( 144.7 )In x. (Round to one decimal place as needed.) The estimated yield in 2024 is bushels/acre. (Round to the nearest integer.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning