Question2.

Whichofthefollowingistrueoflinearfunctionsusedinpredictiveanalyticalmodels?

1. It is used when the rate of change in a variable decreases or increases quickly and then levels out.
2. Itisusedwhenthereisasteadydecreaseorincreaseoverarangeofavariable.
3. It isusedwhenthereis increaseataspecificrate.
4. Itisusedwhenthereisariseorfallataconstantlyincreasingrate.
5. Itisusedwhenthereisdecreaseataspecificrate.
6. It is used when the rate of change in a variable decreases or increases slowly and then levels out.
7. Itisusedwhenthereisariseorfallataconstantlydecreasingrate.
8. Noneoftheabove

Question3.

are mathematical functions used in predictive analytical models which define phenomenathatincreaseataspecificrate,andisrepresentedbytheformulay=ax^b

1. Exponentialfunctions
2. Powerfunctions
3. Polynomialfunctions
4. Logarithmicfunctions
5. Quadraticfunctions
6. Cubicfunctions
7. Squaredfunctions
8. Noneoftheabove

Question4.

Which of the following mathematical functions, used in predictive analytical models, is represented by the formula y = ax³ + bx² + cx + d ?

1. exponentialfunctions
2. powerfunctions
3. logarithmicfunctions
4. polynomialfunctions
5. quadraticfunctions
6. sample functions
7. linearfunctions
8. Noneofthem

Question5.

In functions,representedbyy=ab^x,yrisesorfallsatconstantlyincreasingrates.

1. logarithmic
2. power
3. exponential
4. polynomial
5. linear
6. quadratic
7. cubic
8. noneoftheabove

Question6.

In Excel'sTrendlinetool, the value of the givesthe measureof fit ofthe lineto the data.

1. linearfunction
2. R-squared
3. movingaverage
4. setintercept
5. R
6. Linear
7. Sample
8. Noneof the above.

Question7.

Whichofthefollowingistrueof theR-squared (R²)value inExcel'sTrendlinefunction?

1. Avalueof1.0forR²indicates maximum deviationofthedatafromtheline.
2. Ifthevalueof R²isabove1.0, thelinewillbeataperfectfitforthedata.
3. ThevalueofR²willalwaysbebetween-1and1.
4. Asthevalue ofR²gets higher,thelinewillbe a betterfitforthedata.
5. Noneoftheabove

Question8.

Which of the following is true about the observed errors associated with estimating the value of the dependent variable using the regression line?

1. Theyarethehorizontaldistancesbetweenslopesandy-intercepts.
2. Theerrorsarealsoreferredtoascriticalvalues.
3. Theyarealways maximizedbytheregressionlines.
4. Theerrorscanbenegativeorpositive.
5. Noneoftheabove

Question9.

Following is an extract from the database of a construction company. The table shows the height of walls in feet and the cost of raising them. The estimated simple linear regression equation is given as = b₀ + b₁X.

Height(ft)	Cost($)
4	670
3	430
7	810
9	1100
6	790
8	880
5	760
11	1200

Giventhatb₀=254.8371, b₁=86.81704

Whatistheestimatedcostofraisinga10-inchwall?

1. 1505.786
2. 1103.578
3. 968.6109
4. 1123.008
5. Noneoftheabove

Question10.The R²value:

1. isthevariabilityoftheobservedY-valuesfromthepredictedvalues.
2. indicatesthatastheindependentvariableincreases,theintercepttermdoestoo.
3. givestheproportionofvariationinthedependentvariablethatisexplainedbythe independent variable.
4. transforms the cumulative probability scale (vertical axis) so that the graph of the cumulative normal distribution is a straight line.
5. Noneoftheabove

Question11.

Forasimplelinear regression model,significance ofregression is:

1. ameasureofhowwelltheregressionlinefitsthedata.
2. ahypothesistestofwhetherthetrueregressioncoefficient₁iszero.
3. a statistic that modifies the value of R² by incorporating the sample size and the number of explanatory variables in the model.
4. thevariabilityoftheobservedY-valuesfromthepredictedvalues.
5. Noneoftheabove