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Determine the multiple coefficient of determination

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Reference no: EM13869938

Question 1

 

In order to determine whether or not a drivers education course improves the scores on a driving exam, a sample of 6 students were given the exam before and after taking the course. The results are shown below.

 

Let d = Score After - Score Before.

 

Student

Score Before the Course

Score After the Course

1

83

87

2

89

88

3

93

91

4

77

77

5

86

93

6

79

83

 

 

We want to determine if the driver's education COurSe was effective.

a. Give the hypotheses for this problem.

 

 

 

b. Compute the test statistic.

 

c. At 95% confidence, test the hypotheses. That is, test to see if taking the course actually increased scores on the driving exam.

 

Question 2

 

In order to determine whether or not the number of automobiles sold per day (y) is related to price (x1 in $1,000), and the number of advertising spots (x2), data were gathered for 7 days. Part of the Excel output is shown below:

 

ANOVA

 

 

 

 

 

df

SS

MS

F

Regression

 

40.700

 

 

Residual

 

1.016

 

 

Coefficients Standard Error

Intercept

0.8051

 

 

 

X1

0.4977

0.4617

 

 

X2

0.4733

0.0387

 

 

 

 

a. Determine the least squares regression function relating y to x1 and x2.

 

b. If the company charges $20,000 for each car and uses 10 advertising spots, how many cars would you expect them to sell in a day?

 

c. At alpha = 0.05, test to determine if the fitted equation developed in Part a represents a significant relationship between the independent variables and the dependent variable.

 

d. At alpha = 0.05, test to see if the coefficient of x1 is significantly different from zero.

 

e. Determine the multiple coefficient of determination.

Reference no: EM13869938

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