Ap statistics teachers from across the country meet annually in Kansas City to score Ap statistics exams. One social event that many teachers participate in is the annual prediction fun run. Prior to the race the teachers predict how long it will take them to complete the 1.96 mile long course. During the event, they are timed and their actual finishing times are paired with their predicted times. Here is a scatter plot of the results. The winner of the race is not the fastest runner but the most accurate runner. a.) let x=runners predicted time in seconds and y= the runner's actual time in seconds. Provide the equation of the line that can be used to assess how accurate the runners were. Plot this line on the graph above, Clearly label two points used to plot the line. B.) is the line you drew in part a) a least squares regression line for these data? Explain. C.) while many runners were quite good at predicting their race time, some runners did very poorly at this task. Circle the point of the runner who had the largest error in prediction. Justify your choice. Was this runner faster or slower than predicted?

easy math just plug in a and b

step-by-step explanation:

a

step-by-step explanation:

u take $30 minus $24. the answer/original($30)

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!