Question

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

Answer 1

The equation of the regression line is y=4.6x+37.5.  The scatter plot is attached, as well as the graph of the line through the scatter plot.
At x=3 hours, the value would be 51.3.  At x=4.5 hours, the value would be 58.2.  At x=15 hours, the value would be 106.5; this is not realistic.  At x=2.5 hours, the value would be 49.

The values are found by substituting the numbers in for x in our equation; multiply by 4.6 and then add 37.5.