3-2 -1 0 1 2 - 3 -2 0 1 2 - 3 2 -1 0 1 2 One tail One tail Two tails Figure C.1: Three t distributions. one tail 0.100 0.050 0.025 0.010 0.005 df 3.08 6.31 12.71 31.82 63.66 1.89 2.92 4.30 6.96 9.92 1.64 2.35 3.18 4.54 5.84 1.53 2.13 2.78 3.75 4.60 1.48 2.02 2.57 3.36 4.03 1.44 1.94 2.45 3.14 3.71 1.41 1.89 2.36 3.00 3.50 1.40 1.86 2.31 2.90 3.36 1.38 1.83 2.26 2.82 3.25 1.37 1.81 2.23 2.76 3.17 11 1.36 1.80 2.20 2.72 3.11 12 1.36 1.78 2.18 2.68 3.05 13 1.35 1.77 2.16 2.65 3.01 14 1.35 1.76 2.14 2.62 86'7 15 1.34 1.75 2.13 2.60 2.95 16 1.34 1.75 2.12 2.58 2.92 17 1.33 1.74 2.11 2.57 2.90 18 1.33 1.73 2.10 2.55 2.88 19 1.33 1.73 2.09 2.54 2.86 20 1.33 1.72 2.09 2.53 2.85 21 1.32 1.72 2.08 2.52 2.83 22 1.32 1.72 2.07 2.51 2.82 23 1.32 1.71 2.07 2.50 2.81 24 1.32 1.71 2.06 2.49 2.80 25 1.32 1.71 2.06 2.49 2.79 26 1.31 1.71 2.06 2.48 2.78 27 1.31 1.70 2.05 2.47 2.77 28 1.31 1.70 2.05 2.47 2.76 29 1.31 1.70 2.05 2.46 2.76 30 1.31 1.70 2.04 2.46 2.75 Confidence level C 80% 90% 95% 98% 99%The least-squares regression model V = - 4.2 + 0,95x and correlation coefcient r = 0.81 was calculated for a set of bivariate data. Which of the following is closest to the proportion of the variation in y that can be explained by the explanatory variable? 0 66% Q 95% Q 81% O 42% Question 2 3 pts A chef has created a linear regression model to predict the boiling temperature of water based on the amount of salt added to a 5-gallon pot of water. What is the explanatory variable and what is the response variable? 0 Explanatory: amount of salt; Response: boiling temperature of the water 0 Explanatory: amount of water in the pot; Response: the amount of salt 0 Explanatory: boiling temperature of the water; Response: amount of salt 0 Explanatory: the amount of salt; Response: the amount of water in the pot. Question 3 3 pts A university collected a random sample of 192 rst-year students. The number of weekly study hours was used to predict the student's GPA. The following computer output gives the results from predicting GPA based on weekly study hours. Coefcients study_hours 0.00333 0.00179 1.85 0.065 1.00 Which of the following statements is the best interpretation of the value 0.00333 shown in the output? O GPA is predicted to increase by 0.00333 for every one weekly hour increase in study time. O For a student with 0 hours of study time, the GPA is predicted as 0.00333. 0 For a student with a 0 GPA, the predicted study time is 0.00333 weekly hours. 0 Study time is predicted to increase by 0.00333 hours per week for every one additional point in GPA