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Economics
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11 Dec 2019

The standard error of a regression coefficient measures

The overall precision of the regression equation.
The standard deviation of the estimated coefficient.
The statistical significance of the estimated coefficient.
The inverse of the coefficient’s estimated t-statistic.
The variance of the estimated regression coefficient

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Related questions

Econ 3050

7. When every member of the accessible population has an equal chance of being selected to participate in the study, the researcher is using:

a) Simple random sampling

b) Stratified random sampling

c) Convenience sampling

d) Purposive random sampling

8. A regression line has been found that has nearly all the points lying directly on the line, and only a few of them stray away from the line. Therefore, the standard error of the estimate is likely to be

Huge.

Small.

0.

Undefined.

9. Correlation coefficient ranges from _______ to ____________.

a) - 1 to 0.

b) 0 to 1.

c) -1 to 1.

d) None of the above.

10. The correlation coefficient of determination is the:

a) Ratio of the explained variation to the total deviation.

b) Ratio of the unexplained deviation to the explained deviation.

c) Ratio of the unexplained deviation to the total variation.

d) Ratio of the explained variation to the total variation.


11. If the correlation coefficient r = 0.5 then the coefficient of determination is:

a) 0.10

b) 0.25

c) 1.00

d) 2.50

12. Which one of the following is NOT appropriate for studying the relationship between two quantitative variables?

Scatterplot

Bar chart

Correlation

Regression

13. In regression, an independent variable is sometimes called a response variable.

True

False

14. The simple linear regression equation can be written y = b0 + b1x. In the simple linear regression equation, the symbol y represents:

The average or predicted response

Estimated intercept

Estimated slope

Explanatory variable

Question 3

  1. Y Values

    X Values

    3.1

    60

    3.6

    61

    3.8

    62

    4

    63

    4.1

    65

    To the following questions, carry out answers to 3 decimal places if needed. Do not round answers up or down.

    1. Calculate the regression coefficients a and b

    b=

    a=

     

    1. Form the regression equation

    Y=

     

     

     

     

     

     

     

    3. Calculate the standard error of estimate and the standard error of Coefficient

     

    The standard error of estimate =

     

    The standard error of Coefficient =

     

    4. Predict Y when X = 64.

     

     

     

     

     

     

     

    Prediction y=

     

     

     

     

     

     

     

     

     

     

     

    5. Calculate a 95% prediction interval when X = 64.

     

    The predicted value of y will lie between the (lower value) and (higher value)

     

    6. Compute the coefficient of determination.

     

    Coefficient of determination =

     

The equation of a line is the following: y = 2 + 0.28x1 + 43.8x2

What is the intercept of the line?

Is this equation a straight or curvilinear line, and why?

Is this the equation for a simple linear equation or a multiple linear equation?

What are the two regression coefficients?

If the statistical t-value for the second regression coefficient is 9.80, is the coefficient statistically valid at the 95% confidence level? Why or why not?

Is there a way to get the graph of this equation on excel?

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