Tall Buildings The stories and heights (in feet) of a sample of 10 buildings in Pittsburgh are shown. Stories x 64 54 40 31 45 44 42 41 39 40 Height y 741 625 535 516 515 482 435 420 411 385 The correlation coefficient for the data is r = 0.788 and ? = 0.05. Should regression analysis be done? ? The regression analysis should not be done. ? The regression analysis should be done. Find the equation of the regression line. Round the coefficients to at least three decimal places. y' = a + b x a = b = Find y' when x = 51. Round your answer to at least three decimal places. y' =
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788, and the significance level, α = 0.03. To determine if regression analysis should be done, we need to compare the correlation coefficient to the critical value for the given significance level. Since the correlation coefficient is relatively high (close to 1), Show more…
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Madhur L.
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----766, 620, 520, 508, 494, 484 Stories, y----51, 46, 45, 41, 38, 37 (a) x=498ft (b) x=645ft (c) x=345ft (d) x=730ft Find the regression equation, construct scatter plot, determine ordered pairs.
Find the equation of the regression line for the data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of $y$ for each of the $x$ -values, if meaningful. If the $x$ -value is not meaningful to predict the value of $y,$ explain why not. If convenient, use technology. Height and Number of Stories The heights (in feet) and the numbers of stories of nine notable buildings in Atlanta (Source: Emporis Corporation) $$\begin{array}{|lc|c|c|c|c|c|c|c|c|} \hline \text { Height, } \boldsymbol{x} & 869 & 820 & 771 & 696 & 692 & 676 & 656 & 492 & 486 \\ \hline \text { Stories, } \boldsymbol{y} & 60 & 50 & 50 & 52 & 40 & 47 & 41 & 39 & 26 \\ \hline \end{array}$$ (a) $x=800$ feet (b) $x=750$ feet (c) $x=400$ feet (d) $x=625$ feet
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