Interpretation of simple linear regression

Assignment Help Basic Statistics
Reference no: EM1311865

Interpretation of simple linear regression:

Suppose you are interested in estimating the effect of hours spent in an SAT preparation course (hours) on total SAT score (sat). The population is all college-bound high school seniors for the particular year.

(i) Suppose you are given a grant to run a controlled experiment. Explain how you would structure the experiment in order to estimate the casual effect of hours on sat.

(ii) Consider the more realistic case where students choose how much time to spend in a preparation course, and you can only randomly sample sat and hours from the population. Write the population model as:

sat = β0 + β1 hours + u

Where, as usual in a model with an intercept, we can assume E (u) = 0. List at least two factors contained in u. are these likely to have positive or negative correlation with hours?

(iii) In the equation from part (ii), what should be the sign of β1 if the preparation course is effective?

(iv) In the equation from part (ii), what is the interpretation of β0?

Reference no: EM1311865

Questions Cloud

Purpose a cash flow : Purpose a cash flow profile that shows the net cash flows for each time period (i.e., time 0, 1, 2, 3, and 4).  Calculate the NPV of the project.
Minimize cost in the long run : Illustrate what is the cost of producing 10 units in the short run? First conclude how much labor is needed.
Describe sustainable and conventional agriculture : For each of the following concepts provide a definition, a complete explanation as to their significance, and a practical example.
Based a variable costing approach : Based a variable costing approach, how would you maximize profits and Based on a throughput costing approach, how would you maximize profits?
Interpretation of simple linear regression : Suppose you are given a grant to run a controlled experiment. Explain how you would structure the experiment in order to estimate the casual effect of hours on sat.
Compute the speed of the air track carts : The air-track carts in the figure are sliding to the right at 1.0 m/s. The spring between them has a spring constant of 120 N/m and is compressed 4.5 cm. Compute the speed of the air track carts held by a string together.
Description of sustainability first : Reflecting back on what you learned about sustainable management practices throughout this quarter; determine 5 activities that illustrate sustainable management of resources that you pursue in your everyday life.
Professional sports players are generally paid : Professional sports players are generally paid much more than farmers, factory workers, engineers also teachers.
What is the acceleration due to gravity : A uniform solid sphere of radius 0.503 m and mass 15.7 kg turns counter clockwise (when viewed from above) about the vertical axis through its center. Find its vector angular momentum when its angular speed is 3.08 rad/s. Wouldn't you use the formula..

Reviews

Write a Review

Basic Statistics Questions & Answers

  Statistics-probability assignment

MATH1550H: Assignment:  Question:  A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..

  What is the least number

MATH1550H: Assignment:  Question:     what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?

  Determine the value of k

MATH1550H: Assignment:  Question:     Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form

  What is the probability

MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?

  Binomial distributions

MATH1550H: Assignment:  Questions:  Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.

  Caselet on mcdonald’s vs. burger king - waiting time

Caselet on McDonald’s vs. Burger King - Waiting time

  Generate descriptive statistics

Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.

  Sampling variability and standard error

Problems on Sampling Variability and Standard Error and Confidence Intervals

  Estimate the population mean

Estimate the population mean

  Conduct a marketing experiment

Conduct a marketing experiment in which students are to taste one of two different brands of soft drink

  Find out the probability

Find out the probability

  Linear programming models

LINEAR PROGRAMMING MODELS

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