Question
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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