Question

When using a completely randomized design (one-way analysis of variance), the calculated F statistic will decrease as O The total variability decreases O The vanability among the groups decreases relative to the vanability within the groups O The total variability increases O The vanabamty among the groups Increases velative to the vanablity within the groups The variabiity among the
10. The least squares regression line minimizes the sum of the O Squared differences between actual and predicted Xvalues O Squared differences between actual and predicted Yvalues O Absolute deviations between actual and predicted Xvalues. O Differences between actual and predicted Yvalues O Absolute deviations between actual and predicted Yvalues
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9. Solution :

=> Option B. The variability among the groups decreases relative to the variability within the groups

=> when using a completely randomized design (one-way analysis of variance),the calculated f statistic will decrease as the variability among the groups decreases relative to the variability within the groups.

10. Solution :

=> Option B. Squared differences between actual and predicted y values

=> the least squares regression line minimizes the sum of the Squared differences between actual and predicted y values

=> Error is defined as observed value - predicted value and we are seeking a line that minimizes the sum of these distances. Specifically, the least squares regression line of y on x is the line that makes the sum of the squares of the vertical distances of the data points from the line as small as possible.

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