Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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- A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were :ŷ=a+bx a=20.874 b=-0.638 r2=0.894916 r=-0.946 Use this to predict the number of situps a person who watches 8 hours of TV can do (to one decimal place) _________arrow_forwardYou estimated a regression with the following output. Source | SS df MS Number of obs = 246 -------------+---------------------------------- F(1, 244) = 16642.70 Model | 187647307 1 187647307 Prob > F = 0.0000 Residual | 2751112.55 244 11275.0514 R-squared = 0.9856 -------------+---------------------------------- Adj R-squared = 0.9855 Total | 190398419 245 777136.405 Root MSE = 106.18 ------------------------------------------------------------------------------ Y | Coef. Std. Err. t P>|t| [95% Conf. Interval] -------------+---------------------------------------------------------------- X | 13.79687 .106947 129.01 0.000 13.58621 14.00753 _cons | 17.60822 9.208341 1.91 0.057 -.5297613 35.7462…arrow_forwardUse the scatterplot to determine the most likely regression equation. NORMAL FLOAT AUTO REAL RADIAN MP D = 4 + 2x None of these D = - 3x +5 It depends 1 D=5 -x 2arrow_forward
- You estimated a regression with the following output. Source | SS df MS Number of obs = 423 -------------+---------------------------------- F(1, 421) = 267.80 Model | 8758968.84 1 8758968.84 Prob > F = 0.0000 Residual | 13769523.8 421 32706.7074 R-squared = 0.3888 -------------+---------------------------------- Adj R-squared = 0.3873 Total | 22528492.7 422 53385.0537 Root MSE = 180.85 ------------------------------------------------------------------------------ Y | Coef. Std. Err. t P>|t| [95% Conf. Interval] -------------+---------------------------------------------------------------- X | 6.150402 .3758334 16.36 0.000 5.411658 6.889145 _cons | -8.022201 24.02003 -0.33 0.739 -55.23632 39.19192…arrow_forwardFill in the blanks. a. The cross-product term in a regression equation is often referred to as an _______ term. b. If two predictor variables x1 and x2 interact, then the change in the conditional mean of y for a change of one unit in x2 (with x1 held fixed) depends on _______. c. In a regression model, the cross-product term between x1 and x2 is given by ________.arrow_forwardOcean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. x days 75 79 35 91 203 y km/100 14.2 19.1 5.8 11.2 35.4 (a) Verify that Σx = 483, Σy = 85.7, Σx2 = 62,581, Σy2 = 1978.69, Σxy = 10982.3, and r ≈ 0.94895. Σx Σy Σx2 Σy2 Σxy r (b) Use a 1% level of significance to test the claim ρ > 0. (Use 2 decimal places.) t critical t (c) Verify that Se ≈ 4.1118, a ≈ 0.7378, and b ≈ 0.1698. Se a barrow_forward
- A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were:y=a+bx b=-1.127 a=25.258 r2=0.695556 r=-0.834 Use this to predict the number of situps a person who watches 8 hours of TV can do. Round to one decimal place.arrow_forwardThe following chart describes the height of a car on a Ferris wheel, x seconds after the ride begins. Time (seconds) Height (m) 0.8 4 8 8 25.4 12 42.8 16 50 20 42.8 24 25.4 28 8 32 0.8 36 8 40 25.4 44 42.8 48 50 Use your calculator to find the sinusoidal regression equation. Predict the height of the car after 2 minutes.arrow_forward
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