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29) It is observed that there is a very high correlation between math test scores and amount of physical exercise done by a student on the test day. What can you infer from this?

1. High correlation implies that after exercise the test scores are high.

2. Correlation does not imply causation.

3. Correlation measures the strength of linear relationship between amount of exercise and test scores.

A) Only 1

B) 1 and 3

C) 2 and 3

D) All the statements are true

30) If the correlation coefficient between scores in a math test and amount of physical exercise by a student is 0.86, what percentage of variability in math test is explained by the amount of exercise?

A) 86%

B) 74%

C) 14%

D) 26%

31) Which of the following is true about below given histogram?

A) Above histogram is unimodal

B) Above histogram is bimodal

C) Given above is not a histogram

D) None of the above

32) Consider a regression line y=ax+b, where a is the slope and b is the intercept. If we know the value of the slope then by using which option can we always find the value of the intercept?

A) Put the value (0,0) in the regression line True

B) Put any value from the points used to fit the regression line and compute the value of b False

C) Put the mean values of x & y in the equation along with the value a to get b False

D) None of the above can be used False

33) What happens when we introduce more variables to a linear regression model?

A) The r squared value may increase or remain constant, the adjusted r squared may increase or decrease.

B) The r squared may increase or decrease while the adjusted r squared always increases.

C) Both r square and adjusted r square always increase on the introduction of new variables in the model.

D) Both might increase or decrease depending on the variables introduced.

34) In a scatter diagram, the vertical distance of a point above or below regression line is known as ____ ?

A) Residual

B) Prediction Error

C) Prediction

D) Both A and B

E) None of the above

35) In univariate linear least squares regression, relationship between correlation coefficient and coefficient of determination is ______ ?

A) Both are unrelated False

B) The coefficient of determination is the coefficient of correlation squared True

C) The coefficient of determination is the square root of the coefficient of correlation False

D) Both are same F

36) What is the relationship between significance level and confidence level?

A) Significance level = Confidence level

B) Significance level = 1- Confidence level

C) Significance level = 1/Confidence level

D) Significance level = sqrt (1 - Confidence level)

37) [True or False] Suppose you have been given a variable V, along with its mean and median. Based on these values, you can find whether the variable "V" is left skewed or right skewed for the condition

Mean(V) > median(V)

A) True

B) False

38) The line described by the linear regression equation (OLS) attempts to ____ ?

A) Pass through as many points as possible.

B) Pass through as few points as possible

C) Minimize the number of points it touches

D) Minimize the squared distance from the points

39) We have a linear regression equation ( Y = 5X +40) for the below table.

X Y

5 45

6 76

7 78

8 87

9 79

Which of the following is a MAE (Mean Absolute Error) for this linear model?

A) 8.4

B) 10.29

C) 42.5

D) None of the above