Regression Equations and Correlation Coefficients Quiz

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17 Questions

What is the value of the 4 yearly moving total for the year 2005?

231

What is the value of the 4 yearly moving average for the year 2007?

31.125

What is the 4 yearly moving average for the year 2009?

30.625

What is the 4 yearly moving average for the year 2011?

30

What is the value of the 4 yearly moving total for the year 2012?

240

What is the value of the 4 yearly moving total for the year 2013?

The data does not provide enough information to calculate the 4 yearly moving total for 2013.

What is the five-yearly moving average for the year 2007?

80.2

What is the coefficient of correlation between X and Y in the given data?

0.70

What is the three-yearly moving average for the year 2005?

73.33

If a student scored 70 in Prelims, what would be the estimated marks in Finals using regression analysis?

67.25

If the four-yearly moving averages are to be calculated for the given data, what would be the denominator used for dividing the sum of values?

4

Which formula is used to estimate Y when X is given in the regression analysis?

$Y - \overline{y} = b_{yx} (X - \overline{x})$

If the trend is increasing for the production data, which one of the following statements is true about the five-yearly moving averages?

The moving averages will be increasing.

What is the estimated value of X if a student scored 65 in Finals using regression analysis?

65.25

Which of the following statements is true about moving averages?

Moving averages are used to identify the underlying trend.

In the context of regression lines, what does the equation X + 5Y - 13 = 0 represent?

Regression line of Y on X

If the span of the moving average is increased, what effect will it have on the smoothness of the trend?

The trend will become smoother.

This quiz involves solving two regression equations simultaneously, calculating correlation coefficients, and determining regression lines of X on Y and Y on X. Practice your skills in finding regression equations and correlation coefficients.

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