Consider the following data values for variables x and y: X 5 4 3 6 9 8 10 The regression coefficients were calculated as bo 13.223 and b₁ = -1.257. Select the correct statement. 8 10 5 2 3 1 Select one: O a. If x = 2, the estimated value of y from the regression line is -25.189. b. The least--squares regression line is y=13.223-1.257x. c. An x-value of 11 resulted in an estimated y value of -1.861 d. The least--squares regression line is y = 1.257-13.223x. e. The relationship between x and y appears to be linear and positive.

Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where X is the age of the crab in months and Y is the predicted value of Y, the size of the male crab in cm. Y = 8.2052 + 0.5693X What is the value of Ý when a male crab is 21.7865 months old? Provide your answer with precision to two decimal places. Interpret the value of Ý. The value of Ý is the probability that a crab will be 21.7865 months old. the predicted number of crabs out of the 1,000 crabs collected that will be 21.7865 months old. the predicted incremental increase in size for every increase in age by 21.7865 months. the predicted size of a crab when it is 21.7865 months old.

Q3: From the following data: 2 5 y 5 4 6 3 1) Draw scatter plot. 2) Determine the regression line y = a + b x. 3) Predict the value of y for the value of x = 4.6. 4) Calculate the correlation coefficient. 4 8 3 5

18. Give the following data, which is the equation of the regression line? 3 4 12 Y 8. 6. 9. 12 C. y = 4.98 + 0.725 d. y = 4,88 + 0.525 a. y = 4.88+ 0.625x %3D b. y = 4.98 +0.425x 19. Which of the following gives the best fit of the line for a given data? a. y = 2+ 6.5x, r = 0.65 b. y = 6.05 + 0.825x, r = 0.64 c. y = -1.10 + 9x, r = -0.72 d. y = 100 + 75x, r = 0.50

26. For the following scores: X 3 5 2 2 4 1 4 Y 8 8 6 3 6 4 7 a. Find the regression equation for predicting Y from X. b. Calculate the predicted Y value for each X.

Below table contains a data sample where X is the independent, and Y the dependent variable. Using the data, please conduct a regression analysis. Determine first the regression equation with the help of below graph and table, then answer all the questions. 1. The value of cell a is 2. The value of cell b is 3: The value of cell c is 4: The value of cell d is 5: The value of cell e is 6: The value of cell f is 7: The value of cell g is 8. The value of cell h is 9: The value of cell i is 10: The value of cell j is 11: The value of cell k is 12: The value of cell l is 13: The value of cell m is 14: The value of cell n is 15: The value of cell o is 16: The value of cell p is 17: The value of cell q is 18: The value of cell r is 19: The value of cell s is 20: The value of cell t is 21: The value of cell u is 22: The value of cell v is 23: The value of cell w is 24: The value of cell x is 25: The value of cell y is 26: The value of cell z is 27: The value of cell aa is 28: The value of cell…

In the graph shown below consider the horizontal line to represent the average y value for the data set and the slant line to represent the linear regression equation. use only the graph of the data to do the following: