STAT TECH IN BUSINESS & ECON AC
STAT TECH IN BUSINESS & ECON AC
18th Edition
ISBN: 9781264731657
Author: Lind
Publisher: MCG
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Chapter 13, Problem 23E
To determine

Check whether the slope of the regression line is different from zero at the level of significance α=0.05.

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The coefficient of determination of a set of data points is 0.784 and the slope of the regression line is -4.79. Determine the linear correlation coefficient of the data. What is the linear correlation coefficient? r= (Round to three decimal places as needed.)
In a recent college statistics class, data was collected on each student's height and their shoe size. The first three tables of the regression output are below the conclusions. Please agree or disagree with the conclusions and, of course, state your statistical reasoning 1. There is sufficient evidence to believe that a statistically significant relationship exists between a student's height and his/her shoe size. 2. About 80% of the variation in shoe size is determined by the variation in height 3. For each change in height of 0.3598 inches, the student’s shoe size changes by 1.
TAMU admissions board believes the score you get on the SAT in high school can help predict your college GPA. Below is a regression model using the SAT scores and GPA for 83 college graduates. Calculate a 70% Confidence Interval for the slope of the regression line. Use 4 decimal places.(Note: The SAT scores have been divided by 100 just to make the numbers nicer)    Simple linear regression results:Dependent Variable: GPAIndependent Variable: SAT/100GPA = 1.318967 + 0.174653 [SAT/100]Sample size: 83R (correlation coefficient) = 0.1487R-sq = 0.0221Estimate of error standard deviation: 0.118302Parameter estimates: Parameter Estimate Std. Err. DF T-Stat P-Value Intercept 1.318967 0.3631 81 3.633 0.00049 Slope 0.174653 0.129086 81 1.353 0.1798 Use 4 decimal places

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STAT TECH IN BUSINESS & ECON AC

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