Question

In: Statistics and Probability

1. The distance between the Y value in the data and the predicted Y value from...

1. The distance between the Y value in the data and the predicted Y value from the regression equation is known as the ? a. criterion gap b. residual c. prediction gap 4. seeming error

2. A linear regression has been based on a Pearson correlation of r=.8. Without even looking at a scatterplot of the data you can say.. a. the slope will be positive b. the slope will be negative c. the predictions will be accurate d. it is unwise to proceed without examining the scatterplot

3. For a regression equation with a positive slope, if a certain X value is above the mean for the X scores, then the predicted Y value will be above the mean for the Y scores. T OR F

4. If the Pearson correlation between X and Y is r = 0.60, then the regression equation predicts 60% of the variance in the Y scores. T OR F

5. You can tell whether two variables are negatively or positively related by examining the sign of the slope in the regression equation. T OR F

6. In the formula Y = bX + a, the intercept is the point at which the regression line crosses the X axis. T OR F

7. If the value of the intercept is very large it indicates that the regression equation is useful for prediction. T OR F

8. Conceptually, the standard error of the estimate is much like a standard deviation. T OR F

9. Linear regression involves mathematically defining a line of best fit. T OR F

10.  The Line of best fit is also called the Least Squares solution. T OR F

11.The predictor and criterion are the same as independent and dependent variables. TOR F

THANK YOU!

Solutions

Expert Solution

1.. The distance between the Y value in the data and the predicted Y value from the regression equation is known as the b. residual

2.A linear regression has been based on a Pearson correlation of r=.8. Without even looking at a scatterplot of the data you can say.. a. the slope will be positive

3.For a regression equation with a positive slope, if a certain X value is above the mean for the X scores, then the predicted Y value will be above the mean for the Y scores

False

4.If the Pearson correlation between X and Y is r = 0.60, then the regression equation predicts 60% of the variance in the Y scores. False

5. You can tell whether two variables are negatively or positively related by examining the sign of the slope in the regression equation. True

6. In the formula Y = bX + a, the intercept is the point at which the regression line crosses the X axis. True

7. If the value of the intercept is very large it indicates that the regression equation is useful for prediction. False.

8. Conceptually, the standard error of the estimate is much like a standard deviation. True

9. Linear regression involves mathematically defining a line of best fit.True.

10. The Line of best fit is also called the Least Squares solution. True

11.The predictor and criterion are the same as independent and dependent variables.True


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