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question 16 Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression

question 16

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 table below shows the heights (in feet) and the number of stories of six notable buildings in a city.

Height,x

772

628

518

508

496

483

(a)

x=498

feet

(b)

x=648

feet

Stories, y

51

48

46

42

39

38

(c)

x=798

feet

(d)

x=727

feet

Find the regression equation.

y=___x+ (_____)

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

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.

Hoursspentstudying,x

1

1

2

4

4

6

(a)

x=3

hours

(b)

x=4.5

hours

Test score, y

38

43

50

49

65

71

(c)

x=15

hours

(d)

x=1.5

hours

Find the regression equation.

y=___x+(____)

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

Question 18

Use the data in the table below to complete

x

4

7

9

11

14

16

19

46

y

27

39

27

31

26

23

24

7

Determine if the point is influential. The change in slope or intercept is significant if it is larger than 10%.The point _____ an influential point because the slopes with the point included and without the point included ____ significantly different, and the intercepts ____significantly different.

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