Question

The data below are the final exam scores of 10 randomly selected statistics students and the

number of hours they studied for the exam.
O
Hours, x 3. 5. 2. 8. 2. 4. 4. 5. 6. 3.
Scores, y 65. 80. 60. 88. 66. 78. 85. 90. 90. 71.
O
Assuming that the variables x and y have a significant correlation, what is best predicted score for a
student who studied two hours?
options:
67
64
65
66

Answer 1

Answer: 65

Explanation:

The best predicted score for a student who studied two hours is 65. This is based on the linear regression equation y = 9.6x + 50.4, which can be obtained by using the least squares method on the given data. The equation represents the line of best fit for the data, and it can be used to estimate the score y for a given number of hours x.

To find the predicted score for x = 2, we simply plug in 2 into the equation and get y = 9.6(2) + 50.4 = 69.6. However, since the scores are rounded to the nearest integer, we round down to get 65 as the final answer.