Questions: Refer to the accompanying simple linear regression relating y=average state standardized test math score in 2014 with x= average state standardized test math score in 2010 for each of 51 states. Complete parts a through c below. (1) Click the icon to view the simple linear regression printout. A 95% confidence interval for the slope is (0.98,1.21). (Round to two decimal places as needed.) Interpret the result. Choose the correct answer below. A. Because the lower bound of the confidence interval is greater than 0, there is sufficient evidence to conclude that a positive linear relationship exists between y and x. B. Because the upper bound of the confidence interval is greater than 0, there is sufficient evidence to conclude that a positive linear relationship exists between y and x. C. Because the lower bound of the confidence interval is less than 0, there is not sufficient evidence to conclude that a positive linear relationship exists between y and x. D. Because the upper bound of the confidence interval is less than 0, there is not sufficient evidence to conclude that a positive linear relationship exists between y and x.

Transcript text: Refer to the accompanying simple linear regression relating $y=a v e r a g e ~ s t a t e ~$ standardized test math score in 2014 with $x=$ average state standardized test math score in 2010 for each of 51 states. Complete parts a through $\mathbf{c}$ below. (1) Click the icon to view the simple linear regression printout. A $95 \%$ confidence interval for the slope is $(0.98,1.21)$. (Round to two decimal places as needed.) Interpret the result. Choose the correct answer below. A. Because the lower bound of the confidence interval is greater than 0 , there is sufficient evidence to conclude that a positive linear relationship exists between y and x . B. Because the upper bound of the confidence interval is greater than 0 , there is sufficient evidence to conclude that a positive linear relationship exists between y and x . C. Because the lower bound of the confidence interval is less than 0 , there is not sufficient evidence to conclude that a positive linear relationship exists between y and x . D. Because the upper bound of the confidence interval is less than 0 , there is not sufficient evidence to conclude that a positive linear relationship exists between y and x .