Sophia __ Intro to Stats Unit 4 Milestone 4 Questions And Answers 2023

16 questions were answered correctly. 2 questions were answered incorrectly. 1 For ten students, a teacher records the following scores of two assessments, Quiz 1 and Test. Quiz 1 (x) Test (y) 15 20 12 15 10 12 14 18 10 10 8 13 6 12 15 10 16 18 13 15 Mean 11.9 14.3 Standard Deviation 3.3 3.5 The correlation of Quiz 1 and Test is 0.568. Given the information below, what is the slope and y-intercept for the least-squares line of the Quiz 1 scores and Test scores? Answer choices are rounded to the hundredths place. Slope = 0.54 y-intercept = 1.71 Slope = 0.54 y-intercept = 1.22 Slope = 0.60 y-intercept = 7.16 Slope = 0.60 y-intercept = 1.22 RATIONALE We first want to get the slope. We can use the formula: To then get the intercept, we can solve for the y-intercept by using the following formula: We know the slope, , and we can use the mean of x and the mean of y for the variables and to solve for the y-intercept, .