3 points For a linear regression problem, The actual observed y-value when x = 3 is y = 11. The least squares line is y = 3x+4. The predicted value when x=3 is y = 13. Determine the value of the residual (prediction error) O residual = 13 residual = -2 O Cannot be determined from the information given O residual = 113 points An urn contains 9 red and 11 green balls. Two balls are drawn with replacement (i.e. the draws are independent of each other). Determine the probability that both balls are green 0.55 O 0.2025 O 0.2475 O 0.3025 Next3 points Civil engineers often use the straight-line equation, y = bo + b 1x, to model the relationship between the shear strength y of masonry joints and precompression stress, x. To test this theory, a series of stress tests were performed on solid bricks arranged in triplets and joined with mortar. The precompression stress was varied for each triplet and the ultimate shear load just before failure (called the shear strength) was recorded. The stress results for n = 7 resulted in a Coefficient of Determination of 0.8436. Given that r 2= 0.8436, give a practical interpretation of r 2, the coefficient of determination for the least squares model. O About 84.36% of the total variation in the sample of y-values can be explained by (or attributed to) the linear relationship between shear strength and precompression stress. O In repeated sampling, approximately 84.36% of all similarly constructed regression lines will accurately predict shear strength. O We expect to predict the shear strength of a triplet test to within about 0.8436 tons of its true value. We expect about 84.36% of the observed shear strength values to lie on the least squares line. Next3 points An urn contains 7 red and 13 green balls. Two balls are drawn with replacement (i.e. the draws are independent of each other). Determine the probability that one ball of each color is drawn in any order. O 0.4550 O 0.2275 O 0.5450 O 0.87753 points Determine the sample standard deviation,s, for the following set of sample data. Hint: x =24 X (x-x ) ( X- x ) 2 18 22 24 32 O 5.10 5.89 O 26.0 O 34.67