Linear regression, Basic Statistics

Assignment Help:

Question:

Students in a science class have just received their grades on the first test.  The instructor has provided information about the first test grades in some previous classes as well as the final average for the same students.  Some of these grades have been sampled and are as follows:

Student

1

2

3

4

5

6

7

8

9

1st Test Grade

98

77

88

80

96

61

66

95

69

Final Average

93

78

84

73

84

64

64

95

76

a) Develop a linear regression model that can be used to predict the final course average based on the first test grade for these nine students.  Provide the correct independent and dependent variables and provide the linear regression relationship in terms of these independent and dependent variables.

b)  Predict the final average of a student who made an 83 on the first test. 

c) Would you recommend using this relationship for forecasting the final averages?  Why?  Base your recommendation on analytical reasons. 

d)  Suppose a student scored a 41 on the first test.  Predict the final average of a student who had this score?  What cautions would you recommend about using this linear regression relationship for predicting a final average?


Related Discussions:- Linear regression

Conditional probability, The U.S. Department of Transportation reported tha...

The U.S. Department of Transportation reported that during November, 83.4% of Southwest Airlines’ flights, 75.1% of US Airways’ flights, and 70.1% of JetBlue’s flights arrived on t

Level of significance, Twenty years ago, entering male high school students...

Twenty years ago, entering male high school students of Central High could do an average of 24 pushups in 60 seconds. To see whether this remains true today, a random sample of 36

Education , what are the aims of education

what are the aims of education

Probability, A machine that cuts corks for wine bottles operates in such a ...

A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter of the corks produced is well approximated by a normal distribution with mea

Time series, mathametical examples of components

mathametical examples of components

Probability, jay can remember only the first 4 digits of his friends phone ...

jay can remember only the first 4 digits of his friends phone number. he also knows that the number has 7 digits and the last digit is not a zero. if jay were to dial all of the po

What is account code, The three-character alpha/numeric code allocated by t...

The three-character alpha/numeric code allocated by the Workplace of Economical Control (OFM) to recognize each account.

compare the quality of the different estimations, To illustrate the import...

To illustrate the importance of model selection. We will use only the first four observations to estimate the function f such that ini t. h = f(h. d) for two different models.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd