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2. [-/0.3 Points] DETAILS BBUNDERSTAT12 9.2.005.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER We use the form y= a + bx for the least-squares line. In some computer printouts, the least-squares equation is not given directly. Instead, the value of the constant a is given, and the coefficient b of the explanatory or predictor variable is displayed. Sometimes a is referred to as the constant, and sometimes as the intercept. Data from a report showed the following relationship between elevation (in thousands of feet) and average number of frost-free days per year in a state. A Minitab printout provides the following information. Predictor Coof SE Coof Constant 317 . 16 28 .31 11 . 24 0. 002 Elevation -29. 301 3. 511 - 8 . 79 0. 003 S = 11. 8603 R- Sq = 94. 6% Notice that "Elevation" is listed under "Predictor." This means that elevation is the explanatory variable x. Its coefficient is the slope b. "Constant" refers to a in the equation y = a + bx. (a) Use the printout to write the least-squares equation. = 317.16 -29.301 (b) For each 1000-foot increase in elevation, how many fewer frost-free days are predicted? (Round your answer to three decimal places.) (c) The printout gives the value of the coefficient of determination /. What is the value of /? Be sure to give the correct sign for r based on the sign of b. (Round your answer to four decimal places.) (d) What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? 1% What percentage is unexplained? Need Help? Read It Watch It Master It