[{"id":6918,"question":"The sum of deviations=Σ(y-ŷ) =","choices":[{"text":"0","value":"A"},{"text":"1","value":"B"},{"text":"10","value":"C"},{"text":"-1","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":6917,"question":"ŷ=a+bx, this line will be called least squares line if it makes=Σ(y-a-bx)2","choices":[{"text":"maximum","value":"A"},{"text":"constant","value":"B"},{"text":"minimum","value":"C"},{"text":"variable","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":6916,"question":"The equation of the quadratic (parabolic) trend is","choices":[{"text":"ŷ=a+bx","value":"A"},{"text":"ŷ=a+by","value":"B"},{"text":"ŷ=a+bΣx+cΣx<sup>2</sup>","value":"C"},{"text":"ŷ=a+bx+cx<sup>2</sup>","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":6915,"question":"For a least squares linear trend ŷ = a + bx, the&nbsp;Σ(y-ŷ)<sup>2</sup> = 0 when","choices":[{"text":"all the y-values lie on the line","value":"A"},{"text":"all the y-values are positive","value":"B"},{"text":"all the y-+values lie above the line","value":"C"},{"text":"none of these","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":6914,"question":"For a least squares linear trend=ŷ= a + b x,","choices":[{"text":"Σy &lt;Σŷ","value":"A"},{"text":"Σŷ = 0","value":"B"},{"text":"Σy =Σŷ","value":"C"},{"text":"none of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":6913,"question":"For a least squares linear trend=ŷ = a + bx, b is the","choices":[{"text":"variable","value":"A"},{"text":"intercept","value":"B"},{"text":"trend","value":"C"},{"text":"slope","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":4550,"question":"A business cycle has","choices":[{"text":"one phase","value":"A"},{"text":"two phases","value":"B"},{"text":"three phases","value":"C"},{"text":"four phases","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":4549,"question":"Which one is a rough and crude method for measuring secular trend ?","choices":[{"text":"free hand curve method","value":"A"},{"text":"semi average method","value":"B"},{"text":"moving averages method","value":"C"},{"text":"least square method","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":4548,"question":"Methods of semi-averages gives an","choices":[{"text":"accurate result","value":"A"},{"text":"objective result","value":"B"},{"text":"authentic result","value":"C"},{"text":"none of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":4547,"question":"The method of least square gives too much weight to extremely large deviations from the","choices":[{"text":"population","value":"A"},{"text":"parameter","value":"B"},{"text":"sample","value":"C"},{"text":"trend","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":4546,"question":"Sum of squares of residuals is denoted by","choices":[{"text":"∑<i>e</i>","value":"A"},{"text":"∑<i>e</i><sup>2</sup>","value":"B"},{"text":"∑<i>e</i><sup>3</sup>","value":"C"},{"text":"<span style=\"font-size: 14.399999618530273px;\">∑</span><i style=\"font-size: 14.399999618530273px;\">e</i><sup>4</sup>","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":4545,"question":"The elimination or addition of a few more time periods may change its","choices":[{"text":"speed","value":"A"},{"text":"value","value":"B"},{"text":"direction","value":"C"},{"text":"none of these","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":4544,"question":"The least squares estimates are unbiased estimates of the","choices":[{"text":"statistic","value":"A"},{"text":"time series","value":"B"},{"text":"parameters","value":"C"},{"text":"variance","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":4542,"question":"The straight line is fitted to a time series when the movements in the time series are","choices":[{"text":"linear","value":"A"},{"text":"quadratic","value":"B"},{"text":"cubic","value":"C"},{"text":"constant","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":4540,"question":"In the measurement of secular trend the moving averages","choices":[{"text":"give the trend in a straight line","value":"A"},{"text":"measure the seasonal variations","value":"B"},{"text":"smoothes out a time series","value":"C"},{"text":"measure irregular fluctuations","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":4536,"question":"The secular trend is measured by the method of semi-averages when","choices":[{"text":"time series contains yearly values","value":"A"},{"text":"trend is linear","value":"B"},{"text":"time series contains odd number of values","value":"C"},{"text":"none of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":4535,"question":"The graph of a time series is called","choices":[{"text":"histogram","value":"A"},{"text":"polygon","value":"B"},{"text":"straight line","value":"C"},{"text":"historigram","value":"D"},{"value":"E"}],"correctAnswer":4}]