STAT CHAP 4.3 with complete verified solutions .

STAT CHAP 4.3 with complete
verified solutions 2025-2026
Total deviation=_______deviation+_______deviation - answer Total
deviation=unexplained deviation+explained deviation


(a)
For data set A in the table below, what is the standard deviation of y?
(b)
For data set A in the table below, what is the variance of y - answer STAT-
SUMMARY-SD AND VARIANCE


Draw a scatter diagram of each data set. Which data set has the
explanatory variable x that best explains the variability in y? Why? -
answer GRAPH--> SCATTER PLOT--> COMPUTE
AND COMPARE


Data set A best explains the variability in y because the data are almost
perfectly linearly related.


What is the least-squares regression model between x and y for Data Set
A? - answer GO TO STAT--> REGRESSION--> FIND Y INTERCEPT AND SLOPE


What is the coefficient of determination for Data Set B? - answer GO TO
STAT--> REGRESSION--> SIMPLE LINEAR--> COMPUTE


FIND R SQ
MULTIPLY IT BY 100


Suppose a doctor measures the height, x, and head circumference, y, of 8
children and obtains the data below. The correlation coefficient is 0.838
and the least squares regression line is