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 x

Hours spent studying, x

0

0

1

1

2

2

3

3

4

4

5

5

​(a) xequals

=2

2 hours

​(b) xequals

=4.5

4.5 hours

Test​ score, y

40

40

45

45

51

51

48

48

62

62

73

73

​(c) xequals

=14

14 hours

​(d) xequals

=3.5

3.5 hours

Find the regression equation.

ModifyingAbove y with caret

yequals

=

nothing

xplus

+left parenthesis nothing right parenthesis

nothing

​(Round the slope to three decimal places as needed. Round the​ y-intercept to two decimal places as​ needed.)

 

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