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31 Oct 2018

In multiple regression analysis, explain why
the typical hypothesis that analysts want to
test is whether a particular regression coefficient
(B) is equal to zero (H0: B = 0) versus
whether that coefficient is not equal to zero

I am so confused on this. Please help explain in simple terms if possible.

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Bunny Greenfelder
Bunny GreenfelderLv2
1 Nov 2018
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Related questions

The following figure plots the average farm prices of potatoes in the United States for the years 1989 to 1998 versus the annual per capita consumption. Each point represents the price and quantity data for a given year.

Explain whether simply drawing the line that approximates the data points would give the accurate demand curve for potatoes.

In multiple regression analysis, explain why the typical hypothesis that analysts want to test is whether a particular regression coefficient (B) is equal to zero (H0: B = 0) versus whether that coefficient is not equal to zero (H1: B =/ 0). Using the approximate

True/False Questions

Circle T or F for True or False. For full credit and reward for help, please provide a written answer using complete sentences for each question.

1. T F In a simple linear regression, if the independent variable has a small variance, the estimated slope coefficient, b^, will have a large p-value.

2. T F Demographic variables are included in an estimated demand function to proxy for tastes and preferences.

3. T F The estimated intercept, ?, in any simple or multiple regression has the same units of measure as the dependent variable, yi.

4. T F A trend variable in a linear regression model will shift the intercept up or down.

5. 5. T F In a simple regression, if the correlation between the dependent and independent variables is zero, the conditional mean of the dependent variable is equal to the unconditional mean.

Thank you to anyone able to help and I hope to hear from someone as soon as they can, I am trying to figure these out to reference for my test tomorrow. I am not sure how to properly state each of the answers and truly appreciate any help that anyone can give me in trying to help me with these questions.

ECON 3050

Q24. The coefficient of determination (r2) is calculated as 0.49, then the correlation coefficient:

Cannot be determined without the data

Should be - 0.70 or 0.70

Should be 0.

Neither of the above

Q25. A regression line is used for all of the following except one. Which one is not a valid use of a regression line?

To estimate the average value of Y at a specified value of X.

To predict the value of Y for an individual, given that individual's X-value.

To estimate the change in Y for a one-unit change in X.

To determine if a change in X causes a change in Y.

Q26. Which choice is not an appropriate description of Yˆ in a regression equation?

Estimated response

Predicted response

Estimated average response

Observed response

Q27. Which of the following is the best way to determine whether or not there is a statistically significant linear relationship between two quantitative variables?

Compute a regression line from a sample and see if the sample slope is 0.

Compute the correlation coefficient and see if it is greater than 0.5 or less than −0.5.

Conduct a test of the null hypothesis that the population slope is 0.

Conduct a test of the null hypothesis that the population intercept is 0.

Q28. There is no relationship between variables unless the data points lie in a straight line.

True

False

Q29. The sample regression analysis

Is the same as the population regression line

Is used to estimate the population regression line

Shows the true relation between dependent and independent variables

None of the above.

Q30. In regression, a dependent variable is sometimes called a predictor variable.

True

False

Q31. In a linear regression equation of the form y = a + bx, the intercept shows

The amount that y changes when x changes by one unit

The amount that x changes when y changes by one unit

The value of y when x is zero

The value of x when y is zero.

Q32. In a linear regression equation of y = a + bx, the slope b shows

Y / b

X / b

Y / X

X / Y

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