An engineer is studying early morning traffic patters at a particular intersection. The observation period begins at 5:30 am. Let X denote the time of arrival of the first vehicle from the north-south direction; let Y denote the first arrival time from the east-west direction. Time is measured in fractions of an hour after 5:30 am. Assume that the density for (X, Y ) is given by fXY (x, y)= 1/x 0
Required:
a. Find the curve of regression of X on Y. Is the regression linear?
b. Find the mean value of X when y = 0.5.
c. Find the curve of regression of Y on X. Is the regression linear?
d. Find the mean value of Y when x = 0.75.

What would the rule be for the reflection of y=-3

Which of the following is an example of a rational number? a. π b. √ 9 c. √ 8 d. 3.8362319

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.