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Instruction 13-14
the Head of the Accounting Department Wanted to See

question 249

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Instruction 13-14
The Head of the Accounting Department wanted to see if she could predict the average grade of students using the number of course units (credits)and total university entrance exam scores of each.She takes a sample of students and generates the following Microsoft Excel output:
SUMMARY
Regression Statistics
 Multiple R 0.916 R Square 0.839 Adj. R Square 0.732 Std. Error 0.24685 Observations 6\begin{array} { l l } \text { Multiple R } & 0.916 \\ \text { R Square } & 0.839 \\ \text { Adj. R Square } & 0.732 \\ \text { Std. 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 Coeff  StdError t Stat P-Value  Intercept 4.5938971.133745424.0520.0271 GDP 0.2472700.062684853.9450.0290 Price 0.0014430.001012411.4250.2494\begin{array} { l l l l l l } & \boldsymbol { d f } & \text { SS } & \text { MS } & \boldsymbol { F } & \text { Signif } \boldsymbol { F } \\ \text { Regression } & 2 & 0.95219 & 0.47610 & 7.813 & 0.0646 \\ \text { Residual } & 3 & 0.18281 & 0.06094 & & \\ \text { Total } & 5 & 1.13500 & & & \\ & & & & & \\ & \text { Coeff } & \text { StdError } & \boldsymbol { t } \text { Stat } & \boldsymbol { P } \text {-Value } & \\ \text { Intercept } & 4.593897 & 1.13374542 & 4.052 & 0.0271 & \\ \text { GDP } & - 0.247270 & 0.06268485 & - 3.945 & 0.0290 & \\ \text { Price } & 0.001443 & 0.00101241 & 1.425 & 0.2494 & \end{array} Note: Adj.R Square = Adjusted R Square;Std.Error = Standard Error
-Referring to Instruction 13-14,the Head of Department decided to construct a 95% confidence interval for β1. The confidence interval is from ________ to ________.


Definitions:

Granite

A very hard, granular, crystalline, intrusive igneous rock consisting mainly of quartz, mica, and feldspar; commonly used in buildings for its strength and durability.

Nuclear Fusion

The combination, or fusion, of two nuclei to form a heavier nucleus, in the process releasing a large amount of energy.

Atoms

The basic units of matter, consisting of a nucleus surrounded by electrons.

Hydrogen

The simplest and most abundant element in the universe, consisting of just one proton and one electron, and a primary component in water and organic compounds.

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