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 studying for a test and their scores on that test are shown below. Hours spent studying, x 0 2 3 3 5 5 Test score, y 38 45 51 49 61 71 The equation of the regression line is ŷ = ______ x + ______. (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) (a) x = 2 hours, (b) x = 3.5 hours, (c) x = 15 hours, (d) x = 4.5 hours (a) Substitute x = 2 into the regression equation and simplify. (b) Substitute x = 3.5 into the regression equation and simplify. (c) Substitute x = 15 into the regression equation and simplify. (d) Substitute x = 4.5 into the regression equation and simplify.
Find the equation of the regression line for the given data. Then construct a
| Hours spent studying, x | 0 | 2 | 3 | 3 | 5 | 5 |
| Test score, y | 38 | 45 | 51 | 49 | 61 | 71 |
The equation of the regression line is ŷ = ______ x + ______.
(Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
(a) x = 2 hours, (b) x = 3.5 hours, (c) x = 15 hours, (d) x = 4.5 hours
(a) Substitute x = 2 into the regression equation and simplify.
(b) Substitute x = 3.5 into the regression equation and simplify.
(c) Substitute x = 15 into the regression equation and simplify.
(d) Substitute x = 4.5 into the regression equation and simplify.
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