Question

In: Statistics and Probability

Simple linear regression is used to analyse the relationship between company sales and company profit. The...

Simple linear regression is used to analyse the relationship between company sales and company profit. The following tables are multiple linear regression output.

  1. Is there a linear relationship between company sales and company profit at the significance level of 0.05? Give your evidence.

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  1. What percentage of variance (Coefficient of Determination) of company profit is explained by company sales?

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  1. Give the value of the slope and intercept

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  1. Interpret the value of the slope

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SUMMARY OUTPUT

Regression Statistics

Multiple R

0.76

R Square

0.58

Adjusted R Square

0.58

Standard Error

4634.23

Observations

5717

ANOVA

df

SS

MS

F

Significance F

Regression

1

1.70169E+11

1.70169E+11

7923.615415

0

Residual

5715

1.22736E+11

21476127.76

Total

5716

2.92905E+11

Coefficients

Standard Error

t Stat

P-value

Intercept

126.29

65.06

1.94

0.05

Company sales

0.17

0.00

89.01

0.00

Solutions

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