6 Consider the data.XiYi28 18 7Ho: B₁ ≥ 0Ha: B₁ <0O Ho: PoHo: P₁ == 0Ha: B₁ * 0(a) What is the value of the standard error of the estimate? (Round your a8.333(b) Test for a significant relationship by using the t test. Use α = 0.05.State the null and alternative hypotheses.= 0Ha: Bo ## 0Ho: B₁ * 0Ha: B₁6= 09Ho: Bo = 0Ha: Bo= 013 2025 22Find the value of the test statistic. (Round your answer to three decim0.824XFind the p-value. (Round your answer to four decimal places.)p-value = 0.4966XState your conclusion.

Slope is the changing variable in the regression equation. Regression equation used to predict the…

Answered: Consider the data. Xi Yi 2 6 9 13 20 8…

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 data. xi 2 6 9 13 20 yi 7 20 7 25 22 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use ? = 0.05. State the null and alternative hypotheses. H0: ?1 ≠ 0Ha: ?1 = 0H0: ?1 = 0Ha: ?1 ≠ 0    H0: ?0 = 0Ha: ?0 ≠ 0H0: ?0 ≠ 0Ha: ?0 = 0H0: ?1 ≥ 0Ha: ?1 < 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. We cannot conclude that the relationship between x and y is significant.Do not reject H0. We conclude that the relationship between x and y is significant.     Reject H0. We cannot conclude that the relationship between x and y is significant.Reject H0. We conclude that the relationship between x and y is significant. (c) Use the F test to test for a significant relationship. Use ? =…
Consider the data. xi 2 6 9 13 20 yi 7 20 7 25 22 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use ? = 0.05. State the null and alternative hypotheses. H0: ?1 ≠ 0Ha: ?1 = 0H0: ?1 = 0Ha: ?1 ≠ 0    H0: ?0 = 0Ha: ?0 ≠ 0H0: ?0 ≠ 0Ha: ?0 = 0H0: ?1 ≥ 0Ha: ?1 < 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value =   State your conclusion. Do not reject H0. We cannot conclude that the relationship between x and y is significant.Do not reject H0. We conclude that the relationship between x and y is significant.     Reject H0. We cannot conclude that the relationship between x and y is significant.Reject H0. We conclude that the relationship between x and y is significant. (c) Use the F test to test for a significant relationship. Use ? =…
Consider the data. xi 2 6 9 13 20 yi 6 19 9 28 22 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) ?? (b) Test for a significant relationship by using the t test. Use ? = 0.05. State the null and alternative hypotheses. -H0: ?0 = 0Ha: ?0 ≠ 0 -H0: ?0 ≠ 0Ha: ?0 = 0     -H0: ?1 ≠ 0Ha: ?1 = 0 -H0: ?1 ≥ 0Ha: ?1 < 0 -H0: ?1 = 0Ha: ?1 ≠ 0 Find the value of the test statistic. (Round your answer to three decimal places.) ?? Find the p-value. (Round your answer to four decimal places.) p-value = ?? State your conclusion. -Do not reject H0. We cannot conclude that the relationship between x and y is significant. -Do not reject H0. We conclude that the relationship between x and y is significant.     - Reject H0. We cannot conclude that the relationship between x and y is significant. -Reject H0. We conclude that the relationship between x and y is significant. (c) Use the F test to test for a…
Given are five observations for two variables, x and y. xi 2 7 15 18 20 yi 60 51 42 12 14 Use the estimated regression equation: y^=68.5866-2.6441 . a. Compute the mean square error using equation. (to 4 decimals) b. Compute the standard error of the estimate using equation. (to 4 decimals) c. Compute the estimated standard deviation of b1 using equation. (to 4 decimals) d. Use the t-test to test the following hypotheses (a=0.05): Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) What is the p-value? Use Table 2 from Appendix B. p-value is What is your conclusion? We (do not reject, reject). e. Use the F-test to test the hypotheses in part (d) at a 0.05 level of significance. Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the p-value (to 4 decimals). Sourceof Variation Degreesof Freedom Sum ofSquares MeanSquare F…
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…
If Elliot collects data from a single sample and her dependent variable is assessed on a nominal scale, which of these difference tests would Elliot need to use to analyze her data? a. single sample t test b. between-subjects, one-way ANOVA. c. chi square goodness of fit test d. single-sample z test
Consider a linear regression model for the decrease in blood pressure (mmHg) over a four-week period with muy=2.8+0.8x and standard deviation chi=3.2. The explanatory variable x is the number of servings fruits and vegetables in a calorie-controlled diet. Using the 68-95-99.7 rule, between what two values would approximately 95% of the observed responses, y, fall when x = 7?
If the value of Cronbach’s alpha is 0.07, it means ___________; a. Research instrument is not reliable b. Research instrument is internally consistent c. Data is reliable d. Data is internally consistent
You may need to use the appropriate technology to answer this question. Consider the data. xi 2 6 9 13 20 yi 6 16 8 27 21 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use α = 0.05. State the null and alternative hypotheses. H0: β1 ≠ 0Ha: β1 = 0H0: β1 = 0Ha: β1 ≠ 0 H0: β0 = 0Ha: β0 ≠ 0H0: β0 ≠ 0Ha: β0 = 0H0: β1 ≥ 0Ha: β1 < 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. We conclude that the relationship between x and y is significant.Do not reject H0. We cannot conclude that the relationship between x and y is significant. Reject H0. We conclude that the relationship between x and y is significant.Reject H0. We cannot conclude that the relationship between x and y is significant.…
As a bonus assignment a former student checked if your professor gave a statisticallysignificant difference in grades between his male and female students. She based herstudy based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317)and her sample included nm = 485 male students and nf = 264 female students. Theaverage grades received were xm = 84.6 and xf = 85.8 The population standad deviation were σ m = 12.0 and σ f = 11.4 8. From the same extra-credit study as in question 7 see above, this former student found that the proportion of female students in principle courses (Econ 203, 205) was ?̅? = 0.380, while the proportion of female students in intermediate courses (Econ 303, 305, 317) was ?̅? = 0.352. The principle courses sample size was np = 782, while the intermediate courses sample size was ni = 749. Test the hypothesis that female students are less in intermediate courses using a 90% confidence level and the p-value approach.
Test the null hypothesis that the slope is zero versus the two-sided alternative in the following setting using the alpha=0.05 signifiance level. n=20, yhat=28.5+1.4x, and SEb1=0.65
Suppose that you fitted the model E(y) = ?0 + ?1x1 + ?2x2 + ?3x3 to 15 data points and found F equal to 58.88. Do the data provide sufficient evidence to indicate that the model contributes information for the prediction of y? Test using a 5% level of significance. State the null and alternative hypotheses. H0: ?1 = ?2 = ?3 = 0 Ha: At least one of ?1, ?2, ?3 is not 0.H0: ?1 = ?2 = ?3 = 0 Ha: ?1 > ?2 > ?3 > 0 H0: ?1 < ?2 < ?3 Ha: ?1 = ?2 = ?3 = 0H0: ?1 = ?2 = ?3 Ha: At least one of ?1, ?2, ?3 is different from the others.H0: ?1 > ?2 > ?3 > 0 Ha: ?1 = ?2 = ?3 = 0 What is the test statistic? F = Find the rejection region. (Round your answer to two decimal places.) F > State your conclusion. H0 is rejected. There is insufficient evidence to indicate that the model contributes information for the prediction of y.H0 is not rejected. There is insufficient evidence to indicate that the model contributes information for the prediction of y. H0 is…

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