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SCENARIO 13-7
the Department Head of the Accounting Department Wanted

question 187

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SCENARIO 13-7
The department head of the accounting department wanted to see if she could predict the GPA of students using the number of course units and total SAT scores of each.She takes a sample of 6 students and generates the following Microsoft Excel output: SUMMARY OUTPUT
Regression Statistics
 Multiple R 0.916 R Square 0.839 Adjusted R Square 0.732 Standard Error 0.24685 Observations 6\begin{array} { l l } \text { Multiple R } & 0.916 \\ \text { R Square } & 0.839 \\ \text { Adjusted R Square } & 0.732 \\ \text { Standard Error } & 0.24685 \\ \text { Observations } & 6 \end{array}

ANOVA
df SS  MS F Signif F Regression 20.952190.476107.8130.0646 Residual 30.182810.06094 Total 51.13500\begin{array} { l r c c r c } & d f & \text { SS } & \text { MS } & F & \text { Signif } F \\ \text { Regression } & 2 & 0.95219 & 0.47610 & 7.813 & 0.0646 \\ \text { Residual } & 3 & 0.18281 & 0.06094 & & \\ \text { Total } & 5 & 1.13500 & & & \end{array}

 Coeff  StdError t Stat P-value  Intercept 4.5938971.133745424.0520.0271 Units 0.2472700.062684853.9450.0290 Total SAT 0.0014430.001012411.4250.2494\begin{array} { l c r c c } & \text { Coeff } & \text { StdError } & t \text { Stat } & P \text {-value } \\ \text { Intercept } & 4.593897 & 1.13374542 & 4.052 & 0.0271 \\ \text { Units } & - 0.247270 & 0.06268485 & - 3.945 & 0.0290 \\ \text { Total SAT } & 0.001443 & 0.00101241 & 1.425 & 0.2494 \end{array}
-Referring to SCENARIO 13-7, the department head decided to construct a 95% confidence interval for β\beta 1 .The confidence interval is from to .


Definitions:

Longitudinal Studies

Research studies that follow subjects over a long period of time to observe changes or developments in specific variables.

Intelligence

A complex trait that encompasses the ability to learn, understand, reason, make decisions, and adapt to new situations.

Fluid Intelligence

Those types of basic intelligence that make learning of all sorts quick and thorough. Abilities such as short-term memory, abstract thought, and speed of thinking are all usually considered part of fluid intelligence.

Age

The amount of time someone has existed or something has been in existence, often used to denote maturity, life stages, or periods of history.

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