Math  /  Data & Statistics

QuestionQuestion 9 of 10 (i) point) I Question Attempt 2 of Unilmied
Fast reactions: In a study of reaction times, the time to respond to a visual stimulus (x)(x) and the time to respond to an auditory stimulus ( yy ) were recorded for each of 8 subjects. Times were measured in thousandths of a second. The results are presented in the following table. \begin{tabular}{cc} \hline Visual & Auditory \\ \hline 191 & 169 \\ 203 & 206 \\ 201 & 197 \\ 188 & 193 \\ 228 & 209 \\ 161 & 159 \\ 176 & 163 \\ 178 & 201 \\ \hline \end{tabular} Send data to Excel
The least-squares regression line y^=b0+b1x=46.9658+0.7348x\hat{y}=b_{0}+b_{1} x=46.9658+0.7348 x and Σ(xxˉ)2=2915.5000\Sigma(x-\bar{x})^{2}=2915.5000 are known for this data. Construct a 95%95 \% confidence interval for the slope. Round the answers to at least four decimal places.

Studdy Solution
Construct the confidence interval for the slope b1b_1 using:
b1±t×SEb1 b_1 \pm t^* \times SE_{b_1}
Substitute the known values:
0.7348±t×SEb1 0.7348 \pm t^* \times SE_{b_1}
The 95% confidence interval for the slope is:
(lower bound,upper bound) (\text{lower bound}, \text{upper bound})

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord