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Regression Equations and Correlation Coefficients Quiz

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Regression Equations and Correlation Coefficients Quiz

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Questions and Answers

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

249

231 (correct)

240

251

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

31.375

31.125 (correct)

28.875

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

29.875

31.375

30.625 (correct)

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

30 Signup and view all the answers

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

240 Signup and view all the answers

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. Signup and view all the answers

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

80.2 Signup and view all the answers

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

0.70 Signup and view all the answers

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

73.33 Signup and view all the answers

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

67.25 Signup and view all the answers

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 Signup and view all the answers

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

$Y - \overline{y} = b_{yx} (X - \overline{x})$ Signup and view all the answers

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. Signup and view all the answers

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

65.25 Signup and view all the answers

Which of the following statements is true about moving averages?

Moving averages are used to identify the underlying trend. Signup and view all the answers

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

Regression line of Y on X Signup and view all the answers

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. Signup and view all the answers