Question

In: Statistics and Probability

A teacher believes that the third homework assignment is a key predictor in how well students...

A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.

HW3 Midterm
13.3 59.811
21.9 87.539
9.7 53.728
25 96.283
5.4 39.174
13.2 66.092
20.9 89.729
18.5 78.985
20 86.2
15.4 73.274
25 93.25
9.7 52.257
6.4 43.984
20.2 79.762
21.8 84.258
23.1 92.911
23 87.82
11.4 45.034
14.9 71.869
18.4 76.704
15.1 60.431
15 65.15
16.8 77.208

Find the predicted midterm score when the homework 3 score is 19.5. Do not round until the end, then round answer to 2 decimal places.

  

Solutions

Expert Solution

Solution: Find the predicted midterm score when the homework 3 score is 19.5.

Answer:

Explanation:

To find the predicted midterm score, we first need to find the least-squares regression equation.

Find the predicted midterm score when the homework 3 score is 19.5.

Answer:


Related Solutions

A teacher believes that the third homework assignment is a key predictor in how well students...
A teacher believes that the third homework assignment is a key predictor in how well students will do on the test. Let x represent the third homework score and y the test score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed. HW3 term 13.3 59.811 21.9 87.539 9.7 53.728 25 96.283 5.4 39.174 13.2 66.092 20.9 89.729 18.5 78.985 20 86.2 15.4 73.274 25 93.25 9.7 52.257 6.4...
A teacher believes that the third homework assignment is a key predictor in how well students...
A teacher believes that the third homework assignment is a key predictor in how well students will do on the test. Let x represent the third homework score and y the test score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed. HW3 Test 13.3 59.811 21.9 87.539 9.7 53.728 25 96.283 5.4 39.174 13.2 66.092 20.9 89.729 18.5 78.985 20 86.2 15.4 73.274 25 93.25 9.7 52.257 6.4...
A teacher believes that the third homework assignment is a key predictor in how well students...
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed. HW3 Midterm 13.3 59.811 21.9 87.539 9.7 53.728 25 96.283 5.4 39.174 13.2 66.092 20.9 89.729 18.5 78.985 20 86.2 15.4 73.274 25 93.25 9.7 52.257...
A history teacher believes that students in an afternoon class score higher than the students in...
A history teacher believes that students in an afternoon class score higher than the students in a morning class. The results of a special exam are shown below. Can the teacher conclude that the afternoon students have a higher score? Use α = 0.01. Morning Students Afternoon Students n1 = 36 n2 = 41 x1= 83    x2 = 86 s1 = 5.8 s2 = 6.3 null hypothesis and t statistic , p value
In a population of students, 60% study for every homework assignment. A sample of 40 students...
In a population of students, 60% study for every homework assignment. A sample of 40 students from this population is taken, and the number who study for every homework assignment from this sample is recorded as the random variable X. a) (4 pts) Verify that X has a binomial distribution. b) (4 pts) Find the probability that exactly 25 students from the sample study for the exam. c) (4 pts) Find the mean for this binomial experiment
4. A teacher believes that whatever he says in class has no effect on his students....
4. A teacher believes that whatever he says in class has no effect on his students. Just as he's about to quit his profession, a statistician enters the room and suggests that the teacher design a study to test his assumption. The study will look at whether providing in-class feedback on homework assignments enhances classroom performance. The teacher wants to know whether providing feedback before or after returning the assignments is most useful. He's also interested in the most effective...
3. A teacher believes that a new method will improve students’ reading ability. For 8 weeks,...
3. A teacher believes that a new method will improve students’ reading ability. For 8 weeks, she teaches a class of 21 students using these new methods. Meanwhile a colleague uses “traditional” methods to teach his 23 students. At the end of the 8 weeks, all the students are given the Degree of Reading Power Test. Here are the scores:          New Method students 24 43 58 71 43 49 61 44 67 49 53 56 59 52 62 54 57...
A history teacher believes that students in an afternoon class have a higher mean score than...
A history teacher believes that students in an afternoon class have a higher mean score than the students in a morning class. The teacher randomly selected 41 students from her afternoon class and found that the mean score was a 99 with standard deviation of 6.3. The teacher randomly selected 36 students from her morning class and found that the mean score was a 96 with a standard deviation of 5.8. Can the teacher conclude that the afternoon students have...
A certain stat teacher believes that her students should do at least an average of 5...
A certain stat teacher believes that her students should do at least an average of 5 hours of homework in a week. She took a random sample of stat students this semester. Their sample mean amount of homework time was 3.6 hours with a standard deviation of 1.8 hours. The sample size was 32. Test the state teacher’s claim that her students do at least an average of 5 hours of homework in a week at the 1% level of...
A teacher is comparing the mean study time of his freshmen and senior students. he believes...
A teacher is comparing the mean study time of his freshmen and senior students. he believes that his senior students spend more time studying per week than his freshmen students and decides to perform a hypotheses test on this belief. a. suppose the decision of the hypothesis test is to reject the null hypothesis. If in reality freshmen study for a mean of 10 hours per week and seniors study for a mean of 15 hours per week, was an...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT