Physics students are performing a lab where they allow a ball to roll down a romp and record the are shown below
Time
3.0
3.8
0
1.0
1.5
Distance
126 172 20
0
0.4
1.5
(a) Determine the equation for the line of best ft. Round your coecients to the nearest tenth.
Also, determine the correlation coefficient Round it to the nearest hundredth
olex -3.1
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TO
(b) Using your calculator, produce a scatter plot of this data set along with the line of best Do
your best job to sketch it below. Label the WINDOW you used,
Xmin=1
xmay 10
Vmint
(c) Calculate the residual for the data point (2.0,56). Show your calculation below.
ymar 10
5.6-8 214
KSP
y= 5.6(2)-3.2
y=8
(d) Create a graph of the residuals using your calculator Draw a sketch of the graph below,
showing the Window and the approximate location of the points. Make sure to turn off your
other scatter plot and the line of best fit Sketch the residual plot to the right
(e) Is the linear model appropriate for this data set given the residual plot? Explain below.

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24

Julie multiplies 6.27 by 7 and claims the product is 438.9 .explain without multiplying how you know juliesanswer is not correct.find the correct answer

Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. kevin spins the spinner 180 times. kevin determines about how many times the spinner will land on red or green, and his work is shown below. -kevin has the formula reversed; it should be the total number of sections over the number of red or green sections. -kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections. -kevin should multiply by the number of sections in the spinner rather than the total number of spins. -kevin calculated the prediction correctly and did not make any mistakes.