### Regression Analysis ExampleConsider the following regression results:\[\hat{y} = 4.5 \, (1.8) - 2.8x_1 \, (.7) + 1.2x_2 \, (1.2) + 1.1x_3 \, (1.5)\]For this model:- Sample size, \( n = 19 \)- Coefficient of determination, \( R^2 = .55 \)### Hypothesis TestingThe minimum significance level at which we can reject the null hypothesis that \( \beta_1 = -2 \) (two-tailed test) is at the:- 1% significance level.- 5% significance level.- 10% significance level.- None of the above.### ExplanationThis example provides a regression equation with coefficients and standard errors indicated in parentheses. The task is to determine the minimal significance level for rejecting the specified null hypothesis.

Null Hypothesis: β1=-2 Alternative Hypothesis: β1≠-2 From the equation, Coefficient of X1 is -2.8…

Answered: Consider the following regression…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

"Dr. Broadus found a significant effect of alcohol consuption on dance partner attractiveness ratings using a dependent sample t-test. If he observed a mean difference of 6.74 with a sample variance value of 11.5 after alcohol consuption, what would be the effecti size in terms of Cohen's d?" d = 1.99 d = 0.59 d = -1.99 d = 0.81
1. Determine the sample regression line relating infant mortality to female literacy and plot it on a new scattergram with the equation and R2 on the scattergram. 2. State the value of the correlation coefficient and coefficient of determination. 3. Does your data support the hypothesis that 1 <0. 4. Compute a 90% confidence interval estimate for 1. (use excel for regression analysis charts.) |-- Infant Mortality Rate 2021 ||- - || Female Literacy Rate 2021 | -|| 95.92 | 2.5 ||| 14.6 ||| 3.8
The lowest level of significance to reject the null hypothesis of no linear association between blood pressure and age is: OA: 0.003 OB: 0.05 OC: 0.0002 OD: 0.0001 OE: 0.04
The sample correlation coefficient between X and Y is 0.375. It has been found out that the p-value is 0.744 when testing Ho :p = 0 against the one-sided alternative H1:p < 0. To test Ho:p = 0 against the two-sided alternative H1: p not equal to 0. at a significance level of 0.193, the p-value is 0.744 /2 O (0.744) 2 O 1-0.744 O (1 -0.744) 2
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1>μ2Ha:μ1>μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data. Sample #1 Sample #2 69 85.7 80.8 85.7 85.1 83.8 85.7 77.7 68.4 73 64.1 52.4 97.5 76.3 79.8 84.2 90.2 72.5 60.6 70 75.4 38.6 72.9 96.4 83.1 57 104.3 34 60.6 46.9 69.1 63.2 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic…
additionally does this reject the null hypothesis
Which of the following scatterplots provides evidence that the condition of equal variance for inference for the slope of a regression line has not been met?
You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data. Sample #1 Sample #2 61.5 80.2 53.7 61.5 73.7 82.6 76.7 96.3 50 60.5 74.9 85.8 88.7 90.3 63.4 93.5 71.1 94 83 66.9 83 72.9 74.5 85.8 71.5 99.7 94.9 92.4 86 93.7 78.8 99.7 91.2 96 82.7 88.6 91 89.8 90 92.7 98.3 98 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater…
You wish to test the following claim (HaHa) at a significance level of α=0.05 Ho:μ1=μ2 Ha:μ1≠μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n1=23 with a mean of ¯x1=74.5 and a standard deviation of SD1=20.4 from the first population. You obtain a sample of size n2=11with a mean of ¯x2=89.8and a standard deviation of SD2=7.3 from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of…
You wish to test the following claim (Ha) at a significance level of a 0.01. Ho:H1 = 42 Ha:H1 > H2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size n1 = 25 with a mean of M1 = 52.5 and a standard deviation of SD, = 9.1 from the first population. You obtain a sample of size n2 = 18 with a mean of M2 = 48.7 and a standard deviation of SD2 = 5.2 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic What is the p-value for this sample? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the…
The following output was obtained from a multiple regression analysis. Analysis of variance SOURCE DF SS MS Regression 5 100 20 Residual Error 20 40 2 Total 25 140 Predictor Coefficient SE Coefficient t Constant 3.00 1.50 2.00 x1 4.00 3.00 1.33 x2 3.00 0.20 15.00 x3 0.20 0.05 4.00 x4 −2.50 1.00 −2.50 x5 3.00 4.00 0.75 a. What is the sample size? b. Compute the value of R2. (Round your answer to 4 decimal places.) c. Compute the multiple standard error of estimate. (Round your answer to 4 decimal places.) Conduct a global test of hypothesis H0: β1 = β2 = β3 = β4 = β5 = 0; H1: Not all β's are 0 at the 0.05 significance level. d-1. State the decision rule. (Round your answer to 2 decimal places.) Reject H0 if F> d-2. What is the computed value of F? (Round your answer to 1 decimal place.) Value of F d-3. Determine whether any of the…
In a multiple regression analysis, two independent variables are considered and the sample size is 26. The regression coefficients and the standard errors are as follows; b1 = 1.468 sb1 = 0.89 b2 = -1.084 sb2 = 0.88 Use the 0.05 significance level; Conduct a test hypothesis to determine whether either independent variable has a coefficient equal to 0. (negative amounts should be indicated by a minus sign) (round to 3 decimal places) Would you consider deleting either variable from the regression equation? *See image

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

Consider the following regression results: ŷ = 4.5 -2.8x1 + 1.2*2 + 1.13, (1.8) (7) (1.2) (1.5) = 19, R² = .55. n = The minimum significance level that we can reject the null hypothesis that ₁ = -2 (two-tailed test) is at the 1% significance level. 5% significance level.