A researcher gathers data on the length of essays (number of lines) and the SAT scores received for a sample of students enrolled at his university.Based on his regression results, the 95% confidence interval for the slope of the regression equation is -0.88 to 1.34.At α = 0.05, we can say ________________________ .
A)there is a statistically significant association between length of essays and SAT score.
B)the correlation between length of essays and SAT score is significant
C)the slope of the regression equation is significantly different from zero
D)the slope of the regression equation is not significantly different from zero
E)the relationship between length of essays and SAT scores is significant and negative

Question

Quizplus · Accepted Answer

Since the 95% confidence interval for the slope includes zero (-0.88 to 1.34), we cannot reject the null hypothesis that the slope is zero. This means there is not enough evidence to conclude that the slope of the regression equation is significantly different from zero, indicating no statistically significant linear relationship between the length of essays and SAT scores based on this analysis.

A Researcher Gathers Data on the Length of Essays (Number