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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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