Find the equation of the regression line for the given data. Then construct a sc

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 table below shows the heights (in feet) and the number of stories of six notable buildings in a city 628 518 508496 483 (a) x-498 feet (c) x-802 feet (b)x 645 feet (d) x = 726 feet tories, y Find the regression equation. (Round the slope to three decimal places as needed. Round the y intercept to two decimal places as needed) Choose the correct graph below B. O C. D. 60 11:5 60 800 11:5 800 800 Height (feet) Height Ceet 115 (a) Predict the value of y for x-498 Choose the correct answer below 12/0 O A. 46 11.5 O B. 51 12/0 O D. not meaningful Click to select your answer(s) 12/1 11:5 Sample Tests and Quizzes Sample tests and quazes can be taken for practice or to build your study pian Sample tests and quzzes do not affect your grade

Explanation / Answer

From Excel

y^ = 0.061 x +6.60

Correct graph is Option D

a)

y^ = 0.061 x +6.60

y^ = 0.061 *498 +6.60

y^ = 37

b)

y^ = 0.061 x +6.60

y^ = 0.061 *802 +6.60

y^ = 56

d)

y^ = 0.061 x +6.60

y^ = 0.061 *726 +6.60

y^ = 51

Regression Statistics Multiple R 0.628947 R Square 0.395574 Adjusted R Square 0.244468 Standard Error 9.458065 Observations 6 ANOVA df SS MS F Significance F Regression 1 234.18 234.18 2.617852 0.180977 Residual 4 357.82 89.455 Total 5 592 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 6.60 21.61045 0.305289 0.775373 -53.4028 66.59765 -53.4028 66.59765 X Variable 1 0.061 0.037467 1.617978 0.180977 -0.0434 0.164647 -0.0434 0.164647 RESIDUAL OUTPUT PROBABILITY OUTPUT Observation Predicted Y Residuals Standard Residuals Percentile Y 1 53.39705 -2.39705 -0.28335 8.333333 26 2 44.66759 3.332413 0.393923 25 32 3 37.99925 14.00075 1.655023 41.66667 37 4 37.39303 -11.393 -1.34677 58.33333 48 5 36.66558 0.334421 0.039532 75 51 6 35.8775 -3.8775 -0.45836 91.66667 52

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