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

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