A. 0.12 B. 0.13 C. 0.14 D. 0.15 Explain why you chose the answer
1 answer:
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Answer:
- D. Y = -0.175x^2 - 3.786x + 121.119
- A. Y= 2x-2
Step-by-step explanation:
1. The data generally goes down to the right, so the peak of the curve will be to the left of the y-axis. That means the x-coefficient will have the same sign as the x^2 coefficient (negative). The values near the y-axis are large positive values, so the y-intercept is positive. The equation with these characteristics is the last one:
... D. Y = -0.175x^2 - 3.786x + 121.119
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You can have your calculator or spreadsheet program write the regression equation for you. It will give you substantially the same result. (see the attachment)
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2. For estimating a regression line through data of this sort, it often works well to use the extreme data points: (1.5, 1) and (7.5, 13). If you draw a line through these points, you find that it passes through several other points on the graph, and it has a negative y-intercept. The slope of the line is ...
... (change in y)/(change in x) = (13 -1)/(7.5 -1.5) = 12/6 = 2
Only one of your answer choices has a slope of 2:
... A. Y = 2x-2
