A horticulturist is studying the relationship between tomato plant height and fertilizer amount. Thirty tomato pla grown in similar conditions were subjected to various amounts of fertilizer (in ounces) over a four-month period and then their heights (in inches) were measured. [You may find it useful to reference the t table.] B Click here for the Excel Data File

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
100%

a and b-2

A horticulturist is studying the relationship between tomato plant height and fertilizer amount. Thirty tomato plants
grown in similar conditions were subjected to various amounts of fertilizer (in ounces) over a four-month period,
and then their heights (in inches) were measured. [You may find it useful to reference the t table.)
Click here for the Excel Data File
a. Estimate the regression model: Height = 6, + 61 Fertilizer + E. (Round your answers to 2 decimal places.)
Height
Fertilizer.
b-1. At the 10% significance level, determine if an ounce of fertilizer increases height by more than 3 units. First,
specify the competing hypotheses.
Hg: 81 = 3; HA: 61 * 3
Hg: 81 3 3; HA: 81 > 3
Hg: 81 2 3; HA: 61 < 3
b-2. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and
final answer to 3 decimal places.)
Test statistic
Transcribed Image Text:A horticulturist is studying the relationship between tomato plant height and fertilizer amount. Thirty tomato plants grown in similar conditions were subjected to various amounts of fertilizer (in ounces) over a four-month period, and then their heights (in inches) were measured. [You may find it useful to reference the t table.) Click here for the Excel Data File a. Estimate the regression model: Height = 6, + 61 Fertilizer + E. (Round your answers to 2 decimal places.) Height Fertilizer. b-1. At the 10% significance level, determine if an ounce of fertilizer increases height by more than 3 units. First, specify the competing hypotheses. Hg: 81 = 3; HA: 61 * 3 Hg: 81 3 3; HA: 81 > 3 Hg: 81 2 3; HA: 61 < 3 b-2. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic
Fertilizer
Height
1 (ounces) (inches)
1.9
20.5
3
3
49.7
4
4.1
56.3
1.1
24.2
4.1
29.6
7
5.2
60
8
3.1
24.7
25.1
10
2.6
26.5
11
2.4
25.9
12
0.8
26.2
13
28.4
14
4.6
62.8
15
3.8
30.7
16
5.2
43.2
17
2.4
33.5
18
3
35.3
19
1.5
22.1
20
3.7
40.5
21
44.7
22
3.5
29.1
23
0.8
21.4
24
1.4
25.4
25
2.4
29.3
26
4.3
27.5
27
3.7
32.6
28
6
33.1
29
22.8
30
2.6
27.1
31
3.1
46.4
2.
Transcribed Image Text:Fertilizer Height 1 (ounces) (inches) 1.9 20.5 3 3 49.7 4 4.1 56.3 1.1 24.2 4.1 29.6 7 5.2 60 8 3.1 24.7 25.1 10 2.6 26.5 11 2.4 25.9 12 0.8 26.2 13 28.4 14 4.6 62.8 15 3.8 30.7 16 5.2 43.2 17 2.4 33.5 18 3 35.3 19 1.5 22.1 20 3.7 40.5 21 44.7 22 3.5 29.1 23 0.8 21.4 24 1.4 25.4 25 2.4 29.3 26 4.3 27.5 27 3.7 32.6 28 6 33.1 29 22.8 30 2.6 27.1 31 3.1 46.4 2.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Points, Lines and Planes
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.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman