ISYE 6501 Midterm Exam 2025/2026 Exam|| Questions
& Answers Updated& Graded A+
For which of the following reasons the level of significance
of multiple individual tests are not equivalent to the level of
significance of joint test at given α? - ANSWER-The α from
multiple individual tests will be smaller than the α of the
joint test.
Consider the following simple linear regression model: y =
β0 + β1x + ε. When determining whether the slope
coefficient differs from 1, the alternative hypothesis takes
the form ______. - ANSWER-β1 ≠ 1
,Consider the multiple regression equation SP = β0 +
β1(SF) + β2(AGE) + ε, where SP = selling price of the
house, SF = square footage of the house and AGE = age
of the house.
To test whether SF and AGE have a joint influence on the
selling price of the house, which null hypothesis is correct?
- ANSWER-H0: β1= β2 = 0
Suppose you estimate the model y = β0 + β1x1 + β2x2 +
ε. Which of the following is being tested if the null
hypothesis states that β2 is less than or equal to zero and
the alternative hypothesis states that β2 is greater than 0?
- ANSWER-Positive linear relationship between x2 and y
, In regression analysis, MSE represents the ______. -
ANSWER-mean error sum of squares
While joint significance is important for a multiple linear
regression model, it is _______ for a simple linear
regression model. - ANSWER-redundant
What is the simple linear regression model for the
response variable of annual salary (AS) and explanatory
variable of years of education (ED)? - ANSWER-AS = β0+
β1 ED + ε
& Answers Updated& Graded A+
For which of the following reasons the level of significance
of multiple individual tests are not equivalent to the level of
significance of joint test at given α? - ANSWER-The α from
multiple individual tests will be smaller than the α of the
joint test.
Consider the following simple linear regression model: y =
β0 + β1x + ε. When determining whether the slope
coefficient differs from 1, the alternative hypothesis takes
the form ______. - ANSWER-β1 ≠ 1
,Consider the multiple regression equation SP = β0 +
β1(SF) + β2(AGE) + ε, where SP = selling price of the
house, SF = square footage of the house and AGE = age
of the house.
To test whether SF and AGE have a joint influence on the
selling price of the house, which null hypothesis is correct?
- ANSWER-H0: β1= β2 = 0
Suppose you estimate the model y = β0 + β1x1 + β2x2 +
ε. Which of the following is being tested if the null
hypothesis states that β2 is less than or equal to zero and
the alternative hypothesis states that β2 is greater than 0?
- ANSWER-Positive linear relationship between x2 and y
, In regression analysis, MSE represents the ______. -
ANSWER-mean error sum of squares
While joint significance is important for a multiple linear
regression model, it is _______ for a simple linear
regression model. - ANSWER-redundant
What is the simple linear regression model for the
response variable of annual salary (AS) and explanatory
variable of years of education (ED)? - ANSWER-AS = β0+
β1 ED + ε
