Mathematics, 04.04.2020 18:17 Skye251
It is believed that GPA (grade point average, based on a four point scale) should have a positive linear relationship with ACT scores. Given below is the Excel output from regressing GPA on ACT scores using a data set of 8 randomly chosen students from a Big-Ten university.
Regressing GPA on ACT
Regression Statistics
Multiple R
0.7598
R Square
0.5774
Adjusted R Square
0.5069
Standard Error
0.2691
Observations
8
ANOVA
df
SS
MS
F
Significance F
Regression
1
0.5940
0.5940
8.1986
0.0286
Residual
6
0.4347
0.0724
Total
7
1.0287
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
0.5681
0.9284
0.6119
0.5630
-1.7036
2.8398
ACT
0.1021
0.0356
2.8633
0.0286
0.0148
0.1895
a) The interpretation of the coefficient of determination in this regression is
A) 57.74% of the total variation of ACT scores can be explained by GPA.
B) ACT scores account for 57.74% of the total fluctuation in GPA.
C) GPA accounts for 57.74% of the variability of ACT scores.
D) None of the above.
b) What is the value of the measured test statistic to test whether there is any linear relationship between GPA and ACT?
c) What is the predicted average value of GPA when ACT = 20? Show how you obtain your answer.
d) What are the decision and conclusion on testing whether there is any linear relationship at 1% level of significance between GPA and ACT scores? Explain your answer.
Answers: 2
Mathematics, 21.06.2019 14:30
Fiona and her friends are playing a game by guessing where a coin will land when it is randomly dropped inside the square shown below. fiona guesses that the coin is likely to land in the blue area. which explains whether or not fiona is correct and why?
Answers: 1
Mathematics, 21.06.2019 19:00
What are the solutions of the system? y = x^2 + 2x +3y = 4x - 2a. (-1, -6) and (-3, -14)b. (-1, 10) and (3, -6)c. no solutiond. (-1, -6) and (3, 10)
Answers: 1
Mathematics, 21.06.2019 19:40
Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297
Answers: 1
It is believed that GPA (grade point average, based on a four point scale) should have a positive li...
Biology, 29.01.2020 16:53
Biology, 29.01.2020 16:53
History, 29.01.2020 16:53
Spanish, 29.01.2020 16:53
Mathematics, 29.01.2020 16:53
English, 29.01.2020 16:53
Business, 29.01.2020 16:53
Mathematics, 29.01.2020 16:53