### 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

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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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
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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…
Under the logic of the hypothesis test of ANOVA, the F-statistic is made up of the ratio of Mean Squares between over Mean Squares within: F = MS Between MSwithin If the variance observed in an ANOVA relationship does not have enough of an MS Between effect There is too much noise in your system, and you should try your experiment again to confirm the findings. The F-ratio will approach 1 in the long run, since there is no MS Between effect. The F-ratio will become relatively large, since there is more variance to work with. O The F-ratio will approach 0 in the long run, since the MS Within will cancel out the effect.
Based on the regression output below, which of the following are correlated with satisfaction (using a 95% confidence level)? Correlations N=253 322-Satisfaction X15-Fresh Food X18-Excellent Food Taste Pearson Correlation X20-Proper Food Pearson Correlation (2-talled) Pearson Correlation X22- Satisfaction 1 627" 000 393 Sig (2-tailed) Pearson Correlation Sig (2-talled) *Correlation is significant at the 0.01 level (2-tailed). 000 430" 000 X15-Fresh Food 27 000 1 770" 000 686* 000 X18-Excellent Food Taste 393* ,000 770* 000 1 721 000 X20-Proper Food Temperature 430* ,000 686 000 721" 000 1
additionally does this reject the null hypothesis
Consider a regression analysis with n = 47 and three potential independent variables. Suppose that one of the independent variables has a correlation of 0.95 with the dependent variable. Does this imply that this independent variable will have a very large Student’s t statistic in the regression analysis with all three predictor variables?
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Consider the following regression results: i = 4.5 2.821 + 1.2a2 + 1.1a3. (1.8) (.7) (1.2) (1.6) 19, R = .55. 723D %3D The minimum significance level that we can reject the null hypothesis that B1 =-2 (two-tailed test) is at the %3D 5% significance level. O 10% significance level. O None of the above. O 1% significance level.
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…

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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.