The table represents data collected on the time spent studying (in minutes) and the resulting test grade.
Time Spent Studying
(min)
52 37 31 9 26 40 22 10 45 34 19 60
Grade on Test
95 84 72 58 77 86 72 43 90 81 62 98

Part 1: Create a scatter plot with the predicted line of best fit drawn on it. Determine the type of
correlation (if any), and predict the model that will be used.
There is correlation with the study as more studying means better grades

Part 2: Find the line of best fit for the data either by hand or using technology. Explain your
method. Find the predicted score for each time listed in the table.
y = 0.964767x + 45.547063, I took point (52, 95), used it in Geogebra and used the best fit tool

Part 3: Find the residuals, and decide if your model is a good fit. Explain your method. (If your
model is not a good fit, complete Part 2 again with a different set of points or choose a different
model.)
Yes it is a good model line though could be rounded for an easier input
Year
Competitors*
Year
Competitors*
Year
Competitors*
1976
2.1
1987
22.5
1997
31.4
1977
4.8
1988
23.5
1998
32.4
1978
9.8
1989
25
1999
32.5
1979
11.5
1990
25.8
2000
30
1980
14
1991
26.9
2001
24
1981
14.5
1992
28.6
2002
32.5
1982
14.3
1993
28.1
2003
35.3
1983
15.2
1994
31.1
2004
37.3
1984
14.6
1995
29
2005
37.6
1985
16.7
1996
29
2006
38.4
1986
20.5
* in thousands
Year
Competitors
(in thousands)
2007
39.2
2008
37.9
2009
43.7
2010
44.8
2011
46.8

Part 1: Find a regression model for this new, updated data set (1976-2011). Explain your
method. I received the linear equation y = 1028.288x - 2023503.814. I got this by entering the
data set into the regression equation and got this as a line for best fit. (PS: I entered them in the
thousands place instead of the competitors being in decimals)

Part 2: How well does it fit? Explain your answer and reasoning. Very good, but it doesn’t touch
the y axis and has coordinates of: (1967.84, 0)

Part 3: Use your model to predict the attendance in 2017.
There will be 50,553 visitors in 2017 based on my graphing