Question with confidence intervals

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as2528

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A 90 percent confidence interval for the slope of a regression line is determined to be (-0.181, 1.529). Which of the following statements must be true?

a) The correlation coefficient of the data is positive
B) sum of residuals based on regression line is positive
c) A scatterplot of data shows linear pattern
d) Slope of the sample regression line is 1.348
e) the slope of sample regression line is 0

The answer is a. I am stumped and don't see how that is the answer at all.
 
as2528 said:
A 90 percent confidence interval for the slope of a regression line is determined to be (-0.181, 1.529). Which of the following statements must be true?

a) The correlation coefficient of the data is positive
B) sum of residuals based on regression line is positive
c) A scatterplot of data shows linear pattern
d) Slope of the sample regression line is 1.348
e) the slope of sample regression line is 0

The answer is a. I am stumped and don't see how that is the answer at all.
Click to expand...
What is the relationship between the correlation coefficient and the slope of the regression line of a data set?

What does your textbook/class-notes say? What does Google say?
 
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