The data presented in the following table give the tensile strength in psi (y) of paper as afunction of the percentage of hardwood content (x).Hardwood ContentTensile Strength1.026.81.529.52.036.63.037.84.038.24.541.55.044.85.544.76.048.56.550.17.052.18.056.19.063.110.062.011.062.512.058.013.052.914.038.215.032.916.021.9a. Fit polynomial models of degrees 1, 2, and so on to predict tensile strength fromhardwood content. For each one, use the F test to compare it with the model of degreeone less. Stop when the P-value of the F test is greater than 0.05. What is the degree ofthe polynomial model chosen by this method?b. Using the model from part (a), estimate the hardwood concentration that produces thehighest tensile strength.

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Answered: The data presented in the following…

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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The table shows the position of a motorcyclist after accelerating from rest. t (seconds) 0 s (feet) 0 4.9 10.6 23.1 (a) Find the average velocity (in ft/s) for each time period. (i) [2, 4] 19.85 (ii) [3, 4] 27.2 (iii) [4, 5] 59.1 1 (iv) [4, 6] 93.8 ft/s ft/s ft/s ft/s 2 3 4 50.3 5 6 109.4 237.9 (b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t = 3. (Round your answer to one decimal place.) ft/s
6.6 You estimated a regression with the following output. Source | SS df MS Number of obs = 209 -------------+---------------------------------- F(1, 207) = 92470.91 Model | 622579639 1 622579639 Prob > F = 0.0000 Residual | 1393670.56 207 6732.70804 R-squared = 0.9978 -------------+---------------------------------- Adj R-squared = 0.9978 Total | 623973310 208 2999871.68 Root MSE = 82.053 ------------------------------------------------------------------------------ Y | Coef. Std. Err. t P>|t| [95% Conf. Interval] -------------+---------------------------------------------------------------- X | 34.2537 .1126432 304.09 0.000 34.03163 34.47578 _cons | 8.806569 10.31802 0.85 0.394 -11.5353 29.14844…
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1471 and the standard deviation was 318. The test scores of four students selected at random are 1910, 1210, 2210, and 1370. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1910 is (Round to two decimal places as needed.)
A submarine is descending from the surface. What is the best estimate of itsinstantaneous change in depth at t = 3 seconds?
No tortilla chip aficionado likes soggy chips, so it is important to find characteristics of the production process that produce chips with an appealing texture. The following data on x = frying time (sec) and y = moisture content (%) appeared in an article. x 5 10 15 20 25 30 45 60 y 16.4 9.7 8.1 4.2 3.3 2.8 2.0 1.2 (a) Construct a scatter plot of y versus x. y 15 10- 5 y 15 O 10 10 20 30 40 50 5 10 20 10 NE X 50 60 30 60 40 X 15 y 10 O 5 O y 15 10 20 30 40 50 60 10 20 30 Comment. The plot has a curved pattern. A linear model would not be appropriate. O The plot has a curved pattern. A linear model would be appropriate. O The plot does not have a curved pattern. A linear model would be appropriate. O The plot does not have a curved pattern. A linear model would not be appropriate. 40 50 60 X X
T he number of awards earned by students at one high school is recorded. Predictors of the number of awards earned include the type of program in which the student was enrolled (e.g., vocational, general or academic) and the score on their final exam in math. Below is a description of the variables and their levels of measurement Variables Student ID - NOMINAL Math Scores - RATIO Total # of awards - DISCRETE Program Type - NOMINAL (categorical with three levels: (1)general, (2)academic, (3)vocational) Total Students= 200 Total Awards = 194 Total math scores = 10529 Program Type sum = 405 Describe the modality (i.e., shape) of this distribution (please be sure to include the appropriate statistics to support your description)
Utility is a type of function that occurs in economics. When a consumer receives x units of a certain product, a certain amount of pleasure, or utility U, is derived. The graph represents a typical utility function.
Laetisaric acid is a compound that holds promise for control of fungus diseases in crop plants. The accompanying data show the results of growing the fungus Pythium (y) in various concentrations of laetisaric acid (x). Laetisaric acid concentration (uG/mL) Fungus growth (mm) 0. 33.3 31.0 29.8 27.8 6. 28.0 6. 29.0 10 25.5 10 23.8 20 18.3 20 15.5 30 11.7 30 10.0 Mean 11.500 23.642 Standard deviation 10.884 7.8471 T =-0.98754 %3D a. State the linear regression equation, and with a 0.01 level of significance, predict the amount (in mm) of fungus growth when 25 uG/mL laetisaric acid is applied. Assume the pairs of data follow a bivariate normal distribution and that the scatterplot shows no evidence of a non-linear relationship in the data. b. Determine the percentage of the variation in fungus growth that is explained by the linear relationship between laetisaric acid concentration and fungus growth. Attack Eil
3.)
0.4 0.8 1.2 1.6 2.0 2.4 (hours) v(t) 11.8 9.5 17.2 16.3 16.8 20.1 (miles per hour) Ruth rode her bicycle on a straight trail. She recorded her velocity, in fniles per hour, for selected values of t over the interval 0 < t< 2.4 2.4 hours, as shown in the table above. Approximate v (t) dt, Ruth's displacement, using a midpoint Riemann sum with three subintervals of equal length and values from the table. 20.64 36.72 28.68 36.64
A study of a high-pressure inlet fogging method for a gas turbine engine analyzed a complete second-order model for y, heat rate (kilojoules per kilowat per hour) of a gas turbine as a function of two quantitative variables
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