Find the equation of the rogression line for the given data. Then construct a sc

Question

Find the equation of the rogression 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 tost are shown below. ours spent studying, x (a) x = 2 hours (c) x-14 hours (b) x=3.5 hours (d) x-2.5 hours 36 65 73 O A O D. Hours studying Hours studying Hours shudying Hours tudying (a) Predict the value of y for x -2. Choose the correct answer below. OA. 56.8 B. 47.2 OC. 50.4 O D. not meaningful (b) Predict the value of y for x = 3.5 Choose the correct answer below. O A. 50.4 O B. 568 OC. 124.1 O D. not meaningful (c) Predict the value of y for x 14. Choose the correct answer below OA. 124.1 OB, 56.8

Explanation / Answer

The points are

0,36

1,41

3,53

3,47

4,65

6,73

Using technology,we get regression equation as

y=6.416x +34.321167

For x=2

y=6.416x +34.321167

=6.416(2) +34.321167

=47.2

For x=3.5

y=6.416x +34.321167

=6.416(3.5) +34.321167

=56.8

so its choice B

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