Consider the following data for a dependent variable y and two independent variables, ₁ and 2; for these data SST = 15,224.4, and SSR = 14,052.5.x1y94Round your answers to three decimal places.a. Compute R².b. Compute R².30472451415175365976X213111816520813131610911217994176170118143211c. Does the estimated regression equation explain a large amount of the variability in the data?- Select your answer - VExplain. Hint: If R is greater than 70%, the model explains a large amount of variability.Since the adjusted coefficient of determination is - Select your answer than 70%, the model - Select your answer-explain a large amount of variability.

For the given data R2 =? R2a =? Complete the sentence

Answered: Consider the following data for a…

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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Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 95 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 210 The estimated regression equation for these data is ŷ = −17.17 + 1.99x1 + 4.71x2. Here, SST = 14,950.9, SSR = 13,830.2, sb1 = 0.2460, and sb2 = 0.9442. (a) Test for a significant relationship among x1, x2, and y.Use ? = 0.05. State the null and alternative hypotheses. -H0: ?1 < ?2Ha: ?1 ≥ ?2 -H0: ?1 = ?2 = 0Ha: One or more of the parameters is not equal to zero. -H0: ?1 > ?2Ha: ?1 ≤ ?2 -H0: ?1 ≠ 0 and ?2 = 0Ha: ?1 = 0 and ?2 ≠ 0 -H0: ?1 ≠ 0 and ?2 ≠ 0Ha: One or more of the parameters is equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) Statistic=?? Find the p-value. (Round your answer to three decimal places.) p-value = ?? State your conclusion. -Reject H0. There is sufficient…
Here is a bivariate data set.xy182425915011737106295223812246 Find the correlation coefficient and report it accurate to four decimal places. r =
Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 95 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 The estimated regression equation for these data is ŷ = −17.85 + 2.00x1 + 4.73x2. Here, SST = 15,091.6, SSR = 13,969.7, sb1 = 0.2462, and sb2 = 0.9447. (a) Test for a significant relationship among x1, x2, and y. Use ? = 0.05. State the null and alternative hypotheses. H0: ?1 ≠ 0 and ?2 ≠ 0Ha: One or more of the parameters is equal to zero.H0: ?1 < ?2Ha: ?1 ≥ ?2 H0: ?1 = ?2 = 0Ha: One or more of the parameters is not equal to zero.H0: ?1 ≠ 0 and ?2 = 0Ha: ?1 = 0 and ?2 ≠ 0H0: ?1 > ?2Ha: ?1 ≤ ?2 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is insufficient evidence to conclude…
Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 95 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 The estimated regression equation for these data is ŷ = −17.85 + 2.00x1 + 4.73x2. Here, SST = 15,091.6, SSR = 13,969.7, sb1 = 0.2462, and sb2 = 0.9447. #1) Find the value of the test statistic. (Round your answer to two decimal places.) #2)Find the p-value. (Round your answer to three decimal places.) p-value =
Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 94 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 (a) Develop an estimated regression equation relating y to x1. (Round your numerical values to one decimal place.) ŷ = −18.4+2+4.74x2 Predict y if x1 = 76. (Round your answer to one decimal place.) (b) Develop an estimated regression equation relating y to x2. (Round your numerical values to one decimal place.) ŷ = Predict y if x2 = 16. (Round your answer to one decimal place.) (c) Develop an estimated regression equation relating y to x1 and x2. (Round your numerical values to one decimal place.) ŷ = Predict y if x1 = 76 and x2 = 16. (Round your answer to one decimal place.)
Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 95 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 213 The estimated regression equation for these data is ŷ = −19.20 + 2.02x1 + 4.77x2. Here, SST = 15,378.4, SSR = 14,250.7, sb1 = 0.2468, and sb2 = 0.9472. (a) Test for a significant relationship among x1, x2, and y. Use ? = 0.05. State the null and alternative hypotheses. H0: ?1 = ?2 = 0Ha: One or more of the parameters is not equal to zero.H0: ?1 < ?2Ha: ?1 ≥ ?2 H0: ?1 > ?2Ha: ?1 ≤ ?2H0: ?1 ≠ 0 and ?2 ≠ 0Ha: One or more of the parameters is equal to zero.H0: ?1 ≠ 0 and ?2 = 0Ha: ?1 = 0 and ?2 ≠ 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude that…
Consider the following data for a dependent variable y and two independent variables, x1 and x2; for these data SST = 15,387.6, and SSR = 14,228.4. x1 x2 y 30 13 94 46 11 108 25 18 113 50 17 179 41 5 95 51 20 176 75 7 171 36 13 117 60 13 143 77 17 212 Round your answers to three decimal places.
The average normal daily temperature ( in degree Celsius) and the corresponding average monthly precipitation( in inches ) for the month of June are shown below for seven randomly selected cities. Compute for the value of r, complete the table with the needed information. Temperature(x) 30 27 28 32 27 23 18 Precipitation(y) 3.4 1.8 3.5 3.6 3.7 1.5 0.2
Compute Pearson’s r for the following data. X Y 12 11 6 9 9 5 7 7 SSX = 38 SSY = 20
A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim. H0:β1=0Ha:β1≠0 The test yielded a t-value of 3.34 with a corresponding p-value of 0.001. Which of the following is the correct interpretation of the p-value? If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. A If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater…
For the following values of SSX, SSY, and SP, the Pearson correlation coefficient (r) is ______ and the slope of the regression line (b) is _______. SSX SSY SP 50 80 50 r = -0.79, b = -1.00 r = 0.79, b = 1.00 r = -1.00, b = -0.79 r = 1.00, b = 0.79
Given that n=82 data points are collected when studying the relationship between average daily temperature and time spent watching television, use the critical values table below to determine if a calculated value of r=−0.974 is significant or not. df CV (+ and -) df CV (+ and -) df CV (+ and -) df CV (+ and -) 1 0.997 11 0.555 21 0.413 40 0.304 2 0.950 12 0.532 22 0.404 50 0.273 3 0.878 13 0.514 23 0.396 60 0.250 4 0.811 14 0.497 24 0.388 70 0.232 5 0.754 15 0.482 25 0.381 80 0.217 6 0.707 16 0.468 26 0.374 90 0.205 7 0.666 17 0.456 27 0.367 100 0.195 8 0.632 18 0.444 28 0.361 9 0.602 19 0.433 29 0.355 10 0.576 20 0.423 30 0.349 Select the correct answer below: r is significant because it is between the positive and negative critical values. r is not significant because it is between the positive and negative critical values. r is significant because it is not between the positive and negative critical values. r is not…

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