Professor Gersch loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests.   He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test  and how they did on the test, enters the data into a computer for analysis and presents the results below.   ANALYSIS OF HOURS AND GRADES (n = 16):   Descriptive Statistics:   HOURS GRADES Mean:  4.2  75.8 Mode:  5.0  79.0 St. Dev:  2.3  10.1   Quartiles: Q0  2.0  34.0 Q1  3.2  53.7 Q2  4.7  78.5 Q3  6.3  86.9 Q4  9.0  97.0   Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027   F = 8.52 p = .018     Based on the regression model, what grade would a student get if they studied 10 hours?       a. 90.25   b. 107.15   c. 97.0   d. 16.9

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Professor Gersch loves, as everyone should, to collect and analyze statistical information.

He wishes to find a relationship between how many hours students study and how they do on their statistics tests.  
He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test 
and how they did on the test, enters the data into a computer for analysis and presents the results below.

 

ANALYSIS OF HOURS AND GRADES (n = 16):

 

Descriptive Statistics:

 

HOURS GRADES

Mean:  4.2  75.8

Mode:  5.0  79.0

St. Dev:  2.3  10.1

 

Quartiles:

Q0  2.0  34.0

Q1  3.2  53.7

Q2  4.7  78.5

Q3  6.3  86.9

Q4  9.0  97.0

 

Regression Analysis:

Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS

Rsquared = .985 std error = 0.027   F = 8.52 p = .018

 

 

Based on the regression model, what grade would a student get if they studied 10 hours?

 

 

  a.

90.25

  b.

107.15

  c.

97.0

  d.

16.9

 
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