A random variable is normally distributed with a mean of 25 and a standard deviation of 5. If an observation is randomly selected from the distribution, a. What value will be exceeded 5% of the time? b. What value will be exceeded 85% of the time? c. Determine two values of which the smaller has 10% of the values below it and the larger has 10% of the values above it. d. What value will 15% of the observations be below?

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i hope this with your

answer-

the sum of the residuals for all the points is 0

solution-

while doing a regression analysis our objective is to find a line of best fit. usually all the data points don’t lie exactly on this regression equation line. they are scattered around the line.

a residual represents the difference or variation between the actual or observed value and the predicted value. on the graph, it is the vertical distance between a data point and the regression line.

they are positive if they lie above the regression line and negative if they lie below the regression line. if the regression line actually passes through the point, the residual at that point is zero, i.e the observed value is same as the predicted value.

if the line is actually the line of best fit, then sum of the residuals and their mean is equal to zero.