Question

A researcher measures the relationship between Internet use (hours per week) and social interaction (hours per week) in a sample of 10 students. The following table lists the hypothetical results of this study. Social Interaction Internet Use Y X 4 8 7 4 6 7 12 7 3 6 1 11 10 2 (a) Compute the Pearson correlation coefficient. (Round your answer to three decimal places.) (b) Compute the coefficient determination. (Round your answer to three decimal places.) (c) Using a two-tailed test at a 0.05 level of significance, state the decision to retain or reject the null hypothesis. O Retain the null hypothesis. O Reject the null hypothesis. You may need to use the appropriate table in Appendix to answer this question. A researcher measures the relationship between Internet use (hours per week) and social interaction (hours per week) in a sample of 10 students. The following table lists the hypothetical results of this study. Social Interaction Internet Use X Y 7 7 12 4 3 2 1 11 10 2 (a) Compute the Pearson correlation coefficient. (Round your answer to three decimal places.) (b) Compute the coefficient of determination. (Round your answer to three decimal places.) (c) Using a two-tailed test at a 0.05 level of significance, state the decision to retain or reject the null hypothesis. O Retain the null hypothesis. Reject the null hypothesis.

Answer 1

00:52 ED 9 fx T U V 1289 social interaction intrnet use 1290 5 4 1291 7 1292 4 6 1293 1294 12 5 1295 4 7 1296 2 1297 6 5 1298 1 11 1299 10 2 1300 1301 1302 1303 correlation coefficient r -0.43041423 1304 1305 1306 r2= coefficient of determination 0.18525641 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323

Correlation coefficient r = -0.430

Coefficient of determination r² = 0.185