Question

A data set is given below.

(a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y.

(b) Given that x̅=3.6667, s_X=2.2509, y̅=3.8000, s_y=1.8612, and r=-0.9548, determine the least-squares regression line.

(c) Graph the least-squares regression line on the scatter diagram drawn in part (a).

x	1	1	4	4	6	6
y	5.1	6.5	4.2	3.4	1.7	1.9

a.b.

Answer 1

2 a.

(a) option d is the correct scatter plot for the given data. you just need to plot these points on x-y axis. see graph in option d, at x=1, y = 5.1 and 6.5 similarly other points correctly match with the data given

There appears to be linear relationship. (with negative association, means as x is increasing, y is decreasing)

(b) The equation of the line comes out to be, y = -0.790x + 6.695 (obtained through excel)

1 1 Chart Title 4 7 5.1 6.5 4.2 3.4 1.7 1.9 4 LO 6 LO 5 4 3 2 y = -0.7895x + 6.6947 1 O 0 1 3 4 5 6 7 N

(c) option c is correct. (from the above plot)

b. hours spent in studying and GPA must have positive association, means more the hours spent on studying more should be the GPA, in general (though some get high GPA without studying much and vice versa, but let's not take that into account) . So, option c is correct representation of the situation.

hours spent on social media and GPA in general will have a negative association, means more hours soent on social networking sites, lesser will be the GPA. So, option B is correct representation.

Thumbs up please!

Answer 2

x y

2.3 3.8

3.9 1.5

3 3.6

4.6 4.9