6.) The following charts and tables show the instate tuition for 33 public unive
ID: 3311388 • Letter: 6
Question
6.) The following charts and tables show the instate tuition for 33 public universities for the years 2000 and 2008. We want to use this data to see if we can predict the 2008 tuition for another public university using their 2000 tuition. University Tuition2000 Tuition2008 7018 13706 700213642 6926 11736 633311540 499412106 4877 10634 543210690 4383 8679 5136 8005 4072 9497 7386 4335 9300 4405 8231 7844 35758532 8046 3848 8062 7656 Michigan Rutgers Minnesota MichState Maryland Cal-Davis Missouri Virginia Indiana 4726 3374 Texas Cal-Irvine Cal-SanDig8R Cal-Berkeley 3970 4047 3698 38727750 37917569 4715 6385 5524 3819 6435 3204 6544 3761 6802 3450 6584 2725 7042 r-0.884 Wisconsirn Buffalo = 1133.148 + 1.692x Oregon ngton Nebraska Kansas Colorado 1) What is the explanatory variable? 3188 7278 NethGarelise2768 5397 2348 S542 Florida 2256 3256 2) What is the response variable? eerates308 6040 3) Describe the form, direction, and strength of the scatterplot.Explanation / Answer
1. Here explanatory variable is the instate tuition for year 2000.
2. Here the response variable is the instate tution for year 2008.
3. The direction is positive since in the scatter plot, we see that if the value in the x axis increases, the value in the y axis also increases. The points are scattered near about a straight line. The strength is strongly positive since the points are mostly scattered along a straight line.
4. a) Correlation coefficient r = 0.884
b) Critical value = 0.349 for df n-2= 31.
c) Yes, the correlation is significant since r > critical value which results in rejection of null hypothesis of zero correlation.
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