Question

e SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data76.dat gives the scores of 60 students who did this. How can we relate the two tests? (a) Plot the data with SAT on the x axis and ACT on the y axis. Describe the overall pattern and any unusual observations. (b) Find the least-squares regression line and draw it on your plot. Give the results of the significance test for the slope. (Round your regression slope and intercept to three decimal places, your test statistic to two decimal places, and your P-value to four decimal places.) ACT = -1.701 Incorrect: Your answer is incorrect. + .024 Correct: Your answer is correct. (SAT) t = 10.60 Incorrect: Your answer is incorrect. P = .0000 Correct: Your answer is correct. (c) What is the correlation between the two tests? (Round your answer to three decimal places.) .892535 Incorrect: Your answer is incorrect.

obs     sat     act
1       1096    25
2       1065    25
3       940     18
4       1109    26
5       822     15
6       986     23
7       1084    26
8       776     19
9       934     21
10      885     13
11      1142    28
12      930     18
13      734     15
14      857     16
15      1052    30
16      773     15
17      622     16
18      1125    27
19      1057    23
20      536     6
21      940     23
22      942     20
23      841     21
24      996     22
25      1032    21
26      947     23
27      1060    22
28      801     20
29      734     17
30      1071    15
31      669     17
32      815     15
33      844     22
34      892     19
35      965     18
36      857     15
37      1357    29
38      1051    25
39      1130    24
40      1037    18
41      820     16
42      926     21
43      993     24
44      906     22
45      1057    25
46      975     22
47      740     16
48      681     17
49      819     18
50      775     19
51      1165    29
52      967     23
53      512     10
54      954     20
55      818     21
56      727     19
57      927     23
58      945     21
59      879     19
60      980     21

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Answer 1