Question
In: Statistics and Probability
1. The table below show data that has been collected from different fields from various farms...
1. The table below show data that has been collected from
different fields from various farms in a certain valley. The table
contains the grams of Raspberries tested and the amount of their
Vitamin C content in mg. Find a linear model that express
Vitamin C content as a function of the
weight of the Raspberries.
Round your answers to 3 decimal places
| Raspberry Type | grams | Vitamin C content in mg |
|---|---|---|
| Farm A - North Field | 65 | 16.4 |
| Farm B - North Field | 75 | 20.8 |
| Farm A - South Field | 85 | 25.3 |
| Farm B - South Field | 95 | 29.8 |
| Farm C -Small Field | 105 | 34.9 |
| Farm D | 115 | 38.8 |
| Farm E | 125 | 43.3 |
y=______ x+_____
2. An unknown metal has been found and the following
experimental results have been tabulated in the table below. The
table contains the grams of the unknown metal and the volume in
milliliters of water displacement. Find a linear model that express
mass as a function of the
volume.
Round your answers to 3 decimal places
| grams | Volume in ml |
|---|---|
| 13 | 144.5 |
| 14.5 | 162.8 |
| 16 | 183.3 |
| 17.5 | 202.4 |
| 19 | 211.2 |
| 20.5 | 227.8 |
| 22 | 247 |
Volume =_______x+__________where x is the grams of the unknown metal
Solutions
Expert Solution
Question 1
Solution :
Given data
| X | Y | XY | X^2 | Y^2 |
| 65 | 16.4 | 1066 | 4225 | 268.96 |
| 75 | 20.8 | 1560 | 5625 | 432.64 |
| 85 | 25.3 | 2150.5 | 7225 | 640.09 |
| 95 | 29.8 | 2831 | 9025 | 888.04 |
| 105 | 34.9 | 3664.5 | 11025 | 1218.01 |
| 115 | 38.8 | 4462 | 13225 | 1505.44 |
| 125 | 43.3 | 5412.5 | 15625 | 1874.89 |
= 665 |
 =
209.3 |
 =
21,146.5 |
 =
65,975 |
 =
6828.07 |
Least square regression equation = 
The least square regression equation is
If you have any doubts please do comment. If this answer helps you please upvote.
Please post remaining question as new question .
orchestra answered 1 year agoRelated Solutions
The table below show data that has been collected from different fields from various farms in...
The table below show data that has been collected from different
fields from various farms in a certain valley. The table contains
the grams of Raspberries tested and the amount of their Vitamin C
content in mg. Find a linear model that express Vitamin C
content as a function of the weight of the
Raspberries.
grams
Vitamin C
content in mg
75
21.2
80
23.2
85
25
90
27.8
95
30
100
32.3
105
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