John L.

asked • 01/12/24

Am I doing this right? HW3 Regression show formula

Need to confirm if 1-7 is done right as for 8 and 9 could I get some help with that one Im not understand


1.) Use your judgment to draw a line on the graph that best represents the data. be sure that your line crosses the y-axis (Done already)


2.) Use your judgment to pick two points (x, y) on the line that is not on the data> (Done already) points are (20,3.90) and (70, 3.60)


3.) What quantity (in the data set) is the x-coordinate of your point associated with? (Done already, both 20 and 70 are points associated with x= Year after 1900)


4.) What quantity (in the data set) does the y-coordinate of your point measure? (Done already, both 3.90 and 3.60 are points measured with y= Time in minutes)


5.) Calculate the slope of the line joining two points. Round the slope into the fourth decimal.

(The slope of m= 3.60/70 - 3.90/20 = -.30/50 now divides the M which gives -0.006, then round it to the fourth decimal= 0.006)


6.) Your result will be a negative number, explain what the negative part means in the context of this problem (a negative number is a real number that is less than zero. Negative numbers represent opposites. If positive represents a movement to the right, negative represents a movement to the left. If positive represents above sea level, then negative represents below sea level.)


7.) Use the point-slope form to find the equations of the line. Then give your answer in slope-intercepted form (This is essentially a regression line) Write the y intercepted to two decimals.

(point-slope form: y-y1=m(x-x1) = y-3.90=0.006(x-20))

(slope-intercepted form= ymx+b = Now rewritten this y-3.90=0.006= y=0.006x3.78)

(The y-intercepts are 3.78)


8.) What is the y coordinate of the y-intercepted of the line drawn in 1, explain how you found the y-intercepted.


9.) Do your results from 7 and 8 match the reason well? this is a way to check your equations

1 Expert Answer

By:

Iordan G. answered • 01/12/24

Tutor
5 (94)

Mathematics PhD with extensive teaching and applied experience

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