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

Calculate permanent income, Suppose that permanent income, YP (t) is calcu...

Suppose that permanent income, YP (t) is calculated as the average of disposable income (YD t ) over the past 5 years, that is: YP (t) = 0.2(YD t + YD t-1 + YD t-2 + YD t-3

Derive an expression for the autocorrelation, i)A sionusodial signal has t...

i)A sionusodial signal has the form x(t) = Asin?t Derive an expression for the autocorrelation Rxx(λ) II) Explain the significance of this result in term of the frequen

Does the claim represent the null hypothesis or the alterna., A scientist c...

A scientist claims that the mean incubation period for the eggs of a species of birds is more than 46 days.

Hypothesis and statistical test, College administrators across the country...

College administrators across the country have become very concerned after noticing an increase in the number of deaths in college students from binge drinking.  Several psychologi

Word problem, Suppose that cars pass a certain toll booth at an average rat...

Suppose that cars pass a certain toll booth at an average rate of 10 cars per minute between the hours of 7 a.m. and 9 a.m. The random variable X counts the number of cars that pas

Calculate the predicted mean temperature, The following are actual data sho...

The following are actual data showing the latitude of a sample of major cities in the northern hemisphere and their mean high annual temperature. latitude(X)    mean high temp(Y

material costing and control, summarize chapter 2 in three pages, material...

summarize chapter 2 in three pages, material costing and control

Find the correlation coefficient, We find the correlation coefficient and p...

We find the correlation coefficient and plot the scatter plot using excel as follows:   Time in Waiting Room      Heart Rate

Operation research, Meaning and solving example using north-west corner in ...

Meaning and solving example using north-west corner in Transportation problem

Pie diagram, A survey was conducted among the residents of Pune City, its s...

A survey was conducted among the residents of Pune City, its suburbs and the Pune Cantonment area. The following three pie diagrams show their respective preferences for living in

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