Test the strength of linear relationship with H0 : b = 0 and H1 : b ̸= 0 using significance level α = 0.05. Forecast the electric resistence when the carbon content is 50% and calculate a prediction interval for the predicted point with 95% confidence.

Test the strength of linear relationship with H0 : b = 0 and H1 : b ̸= 0 using significance level α = 0.05. Forecast the electric resistence when the carbon content is 50% and calculate a prediction interval for the predicted point with 95% confidence.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study investigating the relationship between level x of fertilizer application and crop yield y on 25 one-acre test plots produced r = 0.79, r2 = 0.62, se = 0.97, and the regression equation y-hat = 652x + 311. 1) For the level of fertilizer application 0.38 units, the mean crop yield is predicted to be about what? 2) The proportion of the variability in yield that is accounted for by the level of fertilization is about what?
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11.25 Refer to Exercise 11.24. Fit a regression model relating yield to the absolute deviationfrom the ideal planting date, that is, x 5 |D|.a. Compute the estimated linear regression model ^ y 5 ^b0 1 ^b1x.b. Estimate s2e.c. Estimate the standard error of b ^ 1.d. Place a 95% confidence interval on b1.e. Test the hypothesis that there is a linear relationship between yield per acre andabsolute deviation from the ideal planting date. Use a 5 .05.
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 130 to 190 cm and weights of 41 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.53 cm, y 81.32 kg, r 0.259, P-value 0.009, and y = 106+ 1.09x. Find the best predicted value of y (weight) given an adult male who is 181 cm tall. Use a 0.10 significance lev. The best predicted value of y for an adult male who is 181 cm tall is kg. (Round to two decimal places as needed.)
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