gamers then played Newtonian Nightmare again, and their completion times gain re

Question

gamers then played Newtonian Nightmare again, and their completion times gain recorded. The Minitab output below shows the results of a regression were a analysis on their two times The regression equation is Second Attempt- 9.49 +0.731 First Attempt Predictor s on their two f Coef SE Coef 9.491 5.489 -1.73 0.086 Constant Pirst Attempt 0.73057 0.07804 9.36 0.000 S 21.6213 R-Sq 38.2% - Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 1 12.43 3.37 (5.77, 19.08) Residuals versus First Attempt Response is Second Attempt 125 75 0 25 40 60 100 120 140 Pirst Attempt Interpret the values of the Constant coefficient and the First_Attempt coefficient in this context a) [3 marks] b) Interpret the value of R-square c) What can you conclude from the p value for First_Attempt?[1 mark] d) Interpret the value of s e) Calculate a 95% confidence interval for the true slope coefficient. [4 marks] f Calculate and interpret the correlation coefficient. a) Explain the purpose of the residual plot and state what can be [1 mark) [1 mark] 12 marks) 2 marks] 2 mark] concluded from it here. The output includes a prediction corresponding to a certain first attempt time. What was this first attempt time? Calculate the missing 95% PI values in the output. h) [4 marks] End

Explanation / Answer

SolutionA:

constant=y intercept=9.49

For First attempt coefficient=0 ,predicted second_attempt=-9.49

slope=First attempt coefficient=0.73057

For unit increase in First attemt ,predicted second attempt increases by 0.73057

Solutionb:

coefficient of determiantion= R sq=38.2%

38.2% variation in Second_Atempt is explained by First _Attempt

Rest 100-38.2=61.8% is unexplained

Solutionc:

p=0.000

p<0.05

First Attempt is statistically significant variable

Solutiond:

s=21.6213

standard error of estimate=21.6213

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