Tag: linear regression

Questions Related to linear regression

Match the following :
List I
1. Correlation in Bivariable Frequency table.
2. Probable error and co-efficient correlation.
3. Rank correlation.
4. Karl pearson's co-efficient of correlation.
List II
a) $\dfrac{{\Sigma}{f}{d}{x} {d}{y} - {\dfrac{{\Sigma}{f}{d}{x} {\Sigma}{f}{d}{y}}{N}}}{\sqrt{{\Sigma}{f}{d}{{x}^2} - {\dfrac{({\Sigma}{f}{d}{x})^2}{N}}}{\sqrt{{\Sigma}{f}{d}{{y}^2} - {\dfrac{({\Sigma}{f}{d}{y})^2}{N}}}}}$
b) $ r = 0.6745 \dfrac{{-r}^2}{\sqrt{N}}$
c) $ r = 1 - \dfrac{{6}{\Sigma}{{d}^2}}{n({{n}^2 - {1})}}$
d) $ r = \dfrac{{\Sigma}{x}{y}}{{N}{\sigma}{x}{\sigma}{y}}$
Codes :
1   2   3  4

  1. b $\space$ d $\space$ a $\space$ b

  2. b $\space$ a $\space$ c $\space$ d

  3. a $\space$ b $\space$ c $\space$ d

  4. d $\space$ b $\space$ c $\space$ a


Correct Option: D
Explanation:

The correct formula for the calculation of correlation through karl pearson is option d, for bivarial frequency table is c and also for rank correlation in option c, therefore the correct option is D.

Karl Pearson's co-efficient of correlation between two variables is _____________.

  1. the product of their standard deviations

  2. the square root of the product of their regression co-efficient

  3. the co-variance between the variables

  4. none of the above


Correct Option: B

F-test is used to test the significance of the differences between ______________.

  1. co-efficient of correlation between two sample groups

  2. co-efficient of correlation among more than two sample groups

  3. average between two sample groups

  4. averages of more than two sample groups


Correct Option: A

Match the following items in List - I with most suitable options in List - II:

List-I List-II
(a) Fisher 1. Inverse probability
(b) Karl Pearson 2. Normal Distribution
(c) Thomas Baye's 3. Correlation Coefficient
(d) Karl Gauss 4. Index Numbers
  1. $(a) - 4, (b) - 3, (c) - 2, (d) - 1$

  2. $(a) - 4, (b) - 3, (c) - 1, (d) - 2$

  3. $(a) - 4, (b) - 2, (c) - 3, (d) - 1$

  4. $(a) - 4, (b) - 2, (c) - 1, (d) - 3$


Correct Option: B

__________  gives a precise numerical value of the degree of linear relationship between two variables X and Y.

  1. Scatter diagram

  2. Spearmans coefficient of correlation

  3. Karl Pearsons Coefficient of Correlation

  4. None


Correct Option: C