3. High school students were interested in a teacher's claim that the longer the length of time (hours) that astudent studies for a test, the higher the test score. The students collected the data and the teacher did theregression analysis with the following results.ANOVARegressionResidualTotalInterceptTimedf189Coefficients46.0242.134SS1199.9001725.700Standard Error11.6410.905MSt-StatF(1) What is the regression mean square?(2) To test the null hypothesis that no relationship exists between study time and score, what are the F teststatistic and the F-critical value using the 0.05 significance level?(3) To test the null hypothesis that the slope is zero, what are the t test statistic and the t-critical valuesusing the 0.05 significance level?(4) What is the coefficient of determination?(5) Write the regression equation in terms of the independent and dependent variables.(6) If a student studies 10 hours, what is the predicted score?

ANOVAdfSSMSFRegression11199.9Residual81725.7Total9

Answered: 3. High school students were interested…

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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In a multiple regression analysis involving an intercept, 15 independent variables and 200 observations, Total SS = 800 and Residual SS = 240. Adjusted R-squared is
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Write the formula for the estimated regression line and interpret the slope of the estimated regression line, the intercept of the estimated regression line- Is it meaningful?, and the estimated R2. Based on the fitted regression model, what is the predicted ATST for a child who is 7 years old? What is the correlation between AGE and ATST? Does the residual plot suggest that the fitted regression line is inappropriate for these data? Explain why or why not. Suppose that a new subject is added to the study data and that subject is 12.5 years old with an ATST of 580 minutes. If the regression model were to be refit with this additional data point, would the new slope be greater than or less than -14.041? Justify your response.
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e) Perform the F Test making sure to state the null and alternative hypothesis.
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