STATS - True/Fasle and Multiple Choice Questions

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1) The Root Mean Square Error is measured in the same units as the dependent variable (so, if the Y-variable is measured in dollars, then RMS error will also be measured in dollars).

True
False

2) To calculate studentized deleted residuals, the essential process is to remove each point one at a time and refits the regression line, and then measure the size of residual between each original point and the refit regression line. 

True
False

3) Examine the following table of coefficients for a valid multivariate regression model. Which set of conclusions about the hypothesis tests for the Bs is correct (using alpha = 0.05)?

[see attached image!]

Reject the null for B0
Reject the null for B1
Reject the null for B2

Fail to Reject the null for B0
Reject the null for B1
Reject the null for B2

Reject the null for B0
Fail to Reject the null for B1
Fail to Reject the null for B2

Fail to Reject the null for B0
Reject the null for B1
Fail to Reject the null for B2

None of these sets of conclusions is correct

4) Mr. and Mrs. Bulb are successful photographers looking to open a second studio somewhere within a 100 mile radius of their first studio. Mr. Bulb thinks that they should locate in the wealthiest city, while Mrs. bulb thinks that they should locate in the city with the most teenagers (since many of their clients come in for the Senior Portraits). They decide to settle the question with real data, collected on the other photo shops in the 21 cities they are considering, and using a multiple regression of mean annual photo shop sales (Y, in $1000) on mean family income (X1, in $1000) and Population under age 16 (X2, in 1000s).
Referring to the accompanying output, is there evidence that BOTH of these independent variables are definitely useful for predicting photo studio sales?

[see attached image]

Yes
No

5) Mr. and Mrs. Bulb are successful photographers looking to open a second studio somewhere within a 100 mile radius of their first studio. Mr. Bulb thinks that they should locate in the wealthiest city, while Mrs. bulb thinks that they should locate in the city with the most teenagers (since many of their clients come in for the Senior Portraits). They decide to settle the question with real data, collected on the other photo shops in the 21 cities they are considering, and using a multiple regression of mean annual photo shop sales (Y, in $1000) on population under age 16 (X1, in 100s) and mean family income (X2, in $1000). 
Mr. Bulb tried to save some money by purchasing cheap imitation software online. It's clear that this "SBSS" software does not provide as much output as SPSS, but Mrs. Bulb wonders if it is also producing tables and graphs with errors. 
Examine the table below to determine whether there are any noticeable problems with it.

[see attached image]

No, no problems that I can detect

Yes, there are problems

There is not enough information in the table to make any decision

The supplied output cannot be used to answer this question

6) Mr. and Mrs. Bulb are successful photographers looking to open a second studio somewhere within a 100 mile radius of their first studio. Mr. Bulb thinks that they should locate in the wealthiest city, while Mrs. bulb thinks that they should locate in the city with the most teenagers (since many of their clients come in for the Senior Portraits). They decide to settle the question with real data, collected on the other photo shops in the 21 cities they are considering, and using a multiple regression of mean annual photo shop sales (Y, in $1000) on mean family income (X1, in $1000) and Population under age 16 (X2, in 1000s). 
Referring to the accompanying output, is there any evidence of high-leverage cases in their regression model?

    • 10 years ago
    STATS - True/False and Multiple Choice Questions
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