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
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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.
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