Question:
Which of the following is NOT correct regarding R-squared ($R^2$) and Adjusted R-squared ($\overline{R^2}$)?
Which of the following is NOT correct regarding R-squared ($R^2$) and Adjusted R-squared ($\overline{R^2}$)?
Updated On: Oct 1, 2024
- $R^2$ is a scale invariant statistic.
- $\overline{R^2}$ is always positive.
- $R^2$ tends to increase if we add an additional explanatory variable.
- $\overline{R^2} = 1-(1-R^2) (\frac{n-1}{n-k})$ where k is the number of parameters and n is the number of observations.
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct option is (B): $\overline{R^2}$ is always positive.
Was this answer helpful?
0
0
Top Questions on Probability theory
- Let the joint probability density function of the random variables π and π be
\(f(x,y) = \begin{cases} 1, & \quad 0<x<1,\,\,\,\,x<y<x+1\\ 0,& \quad \ \text{ Otherwise} \end{cases}\)
Let the marginal density of π and π be ππ(π₯) and ππ (π¦), respectively. Which of the following is/are CORRECT?- IIT JAM EN - 2023
- Statistics for Economics
- Probability theory
- Let π βΌ πππππππ 8, 20) and π βΌ πππππππ(0, 6) be independent random variables. Let π = π + π and π = π β π. Then πΆππ£(π, π) is ______ (in integer).
- IIT JAM EN - 2023
- Statistics for Economics
- Probability theory
- Let π and π be events defined on the sample space π. If π(π) = \(\frac{1}{3}\) and π(ππ ) = \(\frac{1}{4}\) then which one of the following is necessarily CORRECT?
- IIT JAM EN - 2023
- Statistics for Economics
- Probability theory
- Which of the following functions qualify to be a cumulative density function of a random variable π ?
- IIT JAM EN - 2023
- Statistics for Economics
- Probability theory
- Let XβΌNormal (0, 1) and π = |π|. If the probability density function of π is ππ (y) then for π¦>0,\( \sqrt{\frac{\pi}{2}}\) ππ (π¦) is
- IIT JAM EN - 2023
- Statistics for Economics
- Probability theory
View More Questions
Questions Asked in IIT JAM EN exam
- Consider a Keynesian Cross Model with following features,
Consumption Function: C = C0 + b(Y-T)
Tax Function: T = T0 + tY
Income Identity: Y = C + I0 + G0
Where, C = Consumption; Y = Real Income; T = Tax; I = Investment;
G = Government Expenditure; b = Parameter; t = Tax Rate
(The subscript 0 (zero) indicates that the concerned variable is autonomous)
If b = 0.7 and t = 0.2, value of the Keynesian multiplier is ________ (round off to 2 decimal places).- IIT JAM EN - 2024
- Business cycles and economic models
- Using the following table,
Year Population of the Economy GDP of the Economy (in crore) 2010 20,000 25,000 2020 25,000 40,000
the average growth rate (compounded annually) of per capita GDP in an economy during the period 2010-2020 is ________ (in percent, round off to 2 decimal places).- IIT JAM EN - 2024
- Growth models
- GDPF = Gross Domestic Product at Factor Cost; GDPM = Gross Domestic Product at Market Price; NNPF= Net National Product at Factor Cost; C = Consumption; I = Investment; G = Government Expenditure; X = Export; M = Import; T = Tax; S = Saving; D = Depreciation; NIA = Net Income from Abroad
Which of the following expressions is/are CORRECT?- IIT JAM EN - 2024
- National Income Accounting
- Let a random variable X has mean $\mu_x$ and non-zero variance $ \sigma ^2 _x$, and another X random variable Y has mean $\mu_y$ and non zero variance $\sigma ^2 _y$. If the correlation Y coefficient between X and Y is $\rho$, then which of the following is/are CORRECT?
- IIT JAM EN - 2024
- Probability
- Consider two independent random variables: $X βΌ N(5, 4)$ and $Y~N(3, 2)$. If $(2X + 3Y)~N(\mu, \sigma ^2)$, then the values of mean ($\mu$) and variance ($\sigma ^2$) are
- IIT JAM EN - 2024
- Probability
View More Questions