In the table below is a column of masses for various individuals. 20 kg (kilograms), for instance, is a typical mass for a young child while 80 kg is characteristic of an adult's mass. If you were to travel to the Moon, your weight would change but your mass would remain the same. Roughly speaking, mass is a measure of the amount of "stuff" you're made of (matter). In the United States we commonly measure weight using the English pound. Another common unit for measuring weight is the Newton. The second column in the table shows the corresponding weight, in Newtons, for each individual. These are the weights on Earth. Plot each pair of numbers as an ordered pair on the graph. Use the vertical ("y") axis for the weights and the horizontal ("x") axis for mass. Label your axes. Draw a best fit line through the points and measure the slope of this line. On your plot, mark and circle the points you use to determine the slope. The slope gives you the "weight per unit mass" here on Earth. In other words, the numerical value of the slope is the weight of one unit of mass (the kilogram) at Earth's surface. Report this value in the space below and show your calculation. Mass (kilograms) Weight (Newtons) 22 216 23 225 31 309 34 333 38 372 47 461 55 539 61 598 67 657 76 745 92 902 Calculation of slope: rise _ y2-Yı – X2 - X run

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In the table below is a column of masses for various individuals. 20 Kg
(kllograms), for instance, is a typical mass for a young child while 80 kg Is
characteristic of an adult's mass, If you were to travel to the Moon, your
weight would change but your mass would remain the same. Roughly
speaking, mass is a measure of the amount of "stuff" you're made of
(matter).
In the United States we commonly measure weight using the English pound.
Another common unit for measuring weight is the Newton. The second
column in the table shows the corresponding weight, in Newtons, for each
individual. These are the weights on Earth.
Plot each pair of numbers as an ordered pair on the graph. Use the vertical
("y") axis for the weights and the horizontal ("x") axis for mass. Label your
axes. Draw a best fit line through the points and measure the slope of this
line. On your plot, mark and circle the points you use to determine the
slope. The slope gives you the "weight per unit mass" here on Earth. In
other words, the numerical value of the slope is the weight of one unit of
mass (the kilogram) at Earth's surface. Report this value in the space below
and show your calculation.
Mass (kilograms)
Weight (Newtons)
22
216
23
225
31
309
34
333
38
372
47
461
55
539
61
598
67
657
76
745
92
902
Calculation of slope:
rise
X2 - X
run
Transcribed Image Text:In the table below is a column of masses for various individuals. 20 Kg (kllograms), for instance, is a typical mass for a young child while 80 kg Is characteristic of an adult's mass, If you were to travel to the Moon, your weight would change but your mass would remain the same. Roughly speaking, mass is a measure of the amount of "stuff" you're made of (matter). In the United States we commonly measure weight using the English pound. Another common unit for measuring weight is the Newton. The second column in the table shows the corresponding weight, in Newtons, for each individual. These are the weights on Earth. Plot each pair of numbers as an ordered pair on the graph. Use the vertical ("y") axis for the weights and the horizontal ("x") axis for mass. Label your axes. Draw a best fit line through the points and measure the slope of this line. On your plot, mark and circle the points you use to determine the slope. The slope gives you the "weight per unit mass" here on Earth. In other words, the numerical value of the slope is the weight of one unit of mass (the kilogram) at Earth's surface. Report this value in the space below and show your calculation. Mass (kilograms) Weight (Newtons) 22 216 23 225 31 309 34 333 38 372 47 461 55 539 61 598 67 657 76 745 92 902 Calculation of slope: rise X2 - X run
Expert Solution
Step 1

A simple linear regression equation relates a dependent variable to an independent variable by straight line. The standard equation of simple linear regression equation is y=a+bx, where y is dependent variable, x is independent variable, a is intercept and b is slope.

The intercept is the value of y at which x=0 and slope is the change in y when x is increased by 1 unit. The slope of a line which crosses two points x1, y1 and x2,y2 is given by b=y2-y1x2-x1.

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