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	2	2	3	5	6		?(a) x=2 hours	?(b) x=2.5 hours
Test? score, y	38	45	50	47	63	67		?(c) x=12 hours	?(d) x=4.5 hours

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Part 1

Find the regression equation.

y=5.5405.540x+(34.1234.12)

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

Part 2

Choose the correct graph below.

A.

08080HoursstudyingTestscore

A scatterplot has a horizontal axis labeled Hours Studying from 0 to 8 in increments of 1 and a vertical axis labeled Test score from 0 to 80 in increments of 10. The following points are plotted: (2, 41), (3, 50), (3, 57), (4, 52), (6, 68), (7, 72). A trend line that rises from left to right passes through the points (2, 51), and (6, 73). All coordinates are approximate.

B.

08080HoursstudyingTestscore

A scatterplot has a horizontal axis labeled Hours Studying from 0 to 8 in increments of 1 and a vertical axis labeled Test score from 0 to 80 in increments of 10. The following points are plotted: (1, 38), (2, 45), (2, 50), (3, 47), (5, 63), (6, 67). A trend line that rises from left to right passes through the points (2, 45), and (6, 67). All coordinates are approximate.

C.

08080HoursstudyingTestscore

A scatterplot has a horizontal axis labeled Hours Studying from 0 to 8 in increments of 1 and a vertical axis labeled Test score from 0 to 80 in increments of 10. The following points are plotted: (5, 37), (4, 44), (3, 49), (2, 47), (3, 60), (2, 57). A trend line that falls from left to right passes through the points (2, 53), and (6, 31). All coordinates are approximate.

D.

08080HoursstudyingTestscore

OD. O C. O B. 80- O A. 80- 80- Testscore 80- Testscore Testscore Testscore OHH 0 Hours studying Hours studying Hours studying Hours studying