Interpret the slope in terms of the situation. does it make sense? interpret the y-intercept in terms of the situation. does it make sense? determine the equation of the line of best fit. write your answer in slope-intercept form. any non-integers in this problem should be entered as decimal numbers. round to three decimal places when necessary.

a) Yes the slope makes sense, as the players foot length gets larger, their overall height also increases signifying that there is a correlation between foot size and height.

b) The y-intercept occurs when the line "intercepts" the y-axis. It also makes sense because a player that has 25 cm in distance from heel to toe may very likely be 1.55 meters in height. This is probable.

c) The equation of any line is:

y=mx+b (m= slope, b= y-intercept)

The slope of this line can be found by locating two points where the line intersects. I will use points (25.5,1.6) and (26.25,1.7).

The formula to find the slope is (y(2)-y(1)) / (x(2)-x(1)) = m

1.7 - 1.6 / 26.25 - 25.5 = .1/.75 = .13333

This line crosses the y-intercept at about 1.55m

The equation of this line is:

y = .1333 x + 1.55

y = 0.133x - 1.791

Step-by-step explanation:

The points (27, 1.8) and (27.75, 1.9) lie on the line of best fit. Use these points to find the slope:

m = y2 - y1          1.9 - 1.8          0.1

     =    =    =  0.133

     x2 - x1        27.75 - 27        0.75  

Plug the value of the slope into the equation of the line y = mx +b to get .

y = 0.133x + b

Substitute the point (27, 1.8) into the equation and solve for b:

1.8 = 0.133(27) + b

b = -1.791

Plug the value of b into the equation of the line of best fit to get:

y = 0.133x - 1.791

This answer came straight from the sample answer on Edmentum.com.

1 is 2 2 8 and 3 is 9

step-by-step explanation:

24

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