Question

A horticulturist is studying the effects of the amount of fertilizer applied to tomato plants and the height of the plants. Twenty tomato plants grown in similar conditions were given varying amounts of fertilizer. After four months, the plants were measured. The amount of fertilizer applied and the heights of the plants are presented in the table below.

Height (inches)	Amount of Fertilizer (ounces)
20.4	1.9
49.2	5.0
56.1	4.2
24.3	1.3
29.2	4.9
60.8	5.4
24.6	3.1
25.3	0.0
26.2	2.3
25.7	2.5
26.5	0.9
28.6	1.0
62.9	4.5
30.8	3.8
43.2	5.3
33.4	2.3
35.1	4.0
22.1	1.4
40.6	3.9
44.5	4.0
29.7	3.6
21.1	0.6
25.4	1.6
29.6	2.5
27.6	4.5
32.6	3.6
33.5	2.0
22.5	0.0
27.6	2.5
46.4	3.1

Construct a scatterplot that can be used to visually assess the impact of amount of fertilizer administered and the heights of the plants.

Answer 1

Solution:

The required scatter plot for the given two variables Height in inches and amount of fertilizer in ounces is given as below:

Amount of Fertilizer 6 5 4 3 Amount of Fertilizer 2 1 0 0 10 20 30 40 50 60 70

From the above scatter plot, it is observed that there is a moderate high positive linear relationship or association exists between the given two variables.

There is a positive impact of amount of fertilizer administered and the heights of the plants. As the amount of fertilizer increases, the height of the plant also increases.