For a given set of x and y data values, assume that the regression model assumpt
ID: 3370823 • Letter: F
Question
For a given set of x and y data values, assume that the regression model assumptions are valid and that a 90% confidence interval for ?1 (the slope) is given by (–2.2, –0.1).Which of the following statements is TRUE?
Select one:
a. In the scatterplot of x and y, the values of y tend to decrease as the values of x increase.
b. In the scatterplot of x and y, the values of y tend to decease as the values of x decrease.
c. In the scatterplot of x and y, the values of y tend to increase as the values of x increase.
d. Not enough information to determine nature/direction of data.
Explanation / Answer
90% confidence interval for slope is given as (-2.2,-0.1)
This means that we are 90% confident that the slope of the regression line lies between -2.2 and -0.1
This means that we are 90% confident that slope is negative, which means that we are 90% confident that in the scatterplot, the values of y tend to decrease as the values of x increase.
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