Find the equation of the regression line for the given data. then construct a scatter plot of the data and draw the regression line. (the pair of variables have a significant correlation.) then use the regression equation to predict the value of y for each of the given x-values, if meaningful. the number of hours 6 students spent for a test and their scores on that test are shown below. font size decreased by 1 font size increased by 1 hours spent studying comma xhours spent studying, x 00 22 22 44 55 66 (a) xequals=33 hours (b) xequals=4.54.5 hours test score, y 4040 4545 4949 4747 6262 7070 (c) xequals=1515 hours (d) xequals=2.52.5 hours

Evaluate 4 a for a = 5 2/3 . express your answer in simplest form.

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

Two line segments are shown in the figure below. suppose that the length of the line along the x-axis is 6, and the length of the hypotenuse of the triangle is 10. what is the equation of the hypotenuse line (shown in red, below)?