1.What elements define the position of the least squares regression line? 2.What are the parts of...

1.What elements define the position of the least squares regression line?

2.What are the parts of the regression equation? How do you interpret each?

3.What are the functions of the least squares regression equation?

4.Why is the slope an awkward measure of the strength of a relationship?

5.If the slope is zero, what is the value of r?

Expert Solution

1.What elements define the position of the least squares regression line?

The correlation coefficient, slope, and y-intercept define the position of the least squares regression line.

2.What are the parts of the regression equation? How do you interpret each?

The slope and y-intercept are the parts of the regression equation. The slope of the regression equation indicate the change in the dependent variable as per the change in the independent variable. The y-intercept is the value of the regression line when the value of independent variable is zero.

3.What are the functions of the least squares regression equation?

The main function of the least squares regression equation is to predict the value of the dependent variable based on the value of the independent variable.

4.Why is the slope an awkward measure of the strength of a relationship?

The slope is an awkward measure of the strength of a relationship because it indicates the direction and significance of the relationship between the dependent and independent variable.

5.If the slope is zero, what is the value of r?

If the slope is zero, then the value of r is zero, because if the slope is zero indicates that there is no any linear relationship and no any relationship mans correlation coefficient is zero.

milcah answered 4 months ago

T/F 1-6 1. A regression line obtained by the least squares method is the line that...

T/F 1-6 1. A regression line obtained by the least squares method is the line that maximizes the slope of the regression line. 2. In a simple regression model, the square of the correlation between the response variable and the explanatory variable is equal to the coefficient of determination of the regression model. 3. If the spread of residuals increases as the response variable of a regression model increases, the assumption of homoscedasticity is met. 4. The mean of the...

Q1. Write down the equation of the regression straight line (the least-squares line)

Q1. Write down the equation of the regression straight line (the least-squares line) Q2. For an increase of 1 mg of fertiliser applied, what is the average change in the wet weight of maize plants? Q3. How are the two variables associated with each other? (Answer in 1 or 2 sentences)Q4. Determine the average weight of plants grown with 100mg of fertiliser applied. (round up your answer to 2 decimal places)Q5. Determine the average weight of plants grown with...

1. The coefficients of the least squares regression line, Y = M*X + B, are determined...

1. The coefficients of the least squares regression line, Y = M*X + B, are determined by minimizing the sum of the squares of the a) x‐coordinates. b) y‐coordinates. c) residuals ----------------------- 2 . Which of the following statements are true about overfitting and underfitting? a) Models that do not do well on training or test data are said to underfit the data. b) They lack enough independent variables to predict the response variable. c) A model’s generalization ability refers...

In simple linear regression analysis, the least squares regression line minimizes the sum of the squared...

In simple linear regression analysis, the least squares regression line minimizes the sum of the squared differences between actual and predicted y values. True False

what is the regression technique of ordinary least squares?

Which of the following are feasible equations of a least squares regression line for the annual...

Which of the following are feasible equations of a least squares regression line for the annual population change of a small country from the year 2000 to the year 2015? Select all that apply. Select all that apply: yˆ=38,000+2500x yˆ=38,000−3500x yˆ=−38,000+2500x yˆ=38,000−1500x

What are Least Squares Assumptions for simple linear regression? For each least squares assumption, provide an...

What are Least Squares Assumptions for simple linear regression? For each least squares assumption, provide an example in which the assumption is valid, then provide an example in which the assumption fails.

(a) Find the least-squares regression line treating number of absences as the explanatory variable and the...

(a) Find the least-squares regression line treating number of absences as the explanatory variable and the final exam score as the response variable. ModifyingAbove y with caret equalsnegative 2.688xplus88.378 (Round to three decimal places as needed.) (b) Interpret the slope and the y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. (Round to three decimal places as needed.) A. For every additional absence, a student's final exam score drops 2.688 points, on...

A student uses the given set of data to compute a least‑squares regression line and a...

A student uses the given set of data to compute a least‑squares regression line and a correlation coefficient: ? 0.7 0.8 1.7 1.7 1.3 2.6 8.0 ? 1 2 2 1 0 1 5 The student claims that the regression line does an excellent job of explaining the relationship between the explanatory variable ? and the response variable ? . Is the student correct? a. Yes, because ?2=0.74 means that 74% of the variation in ? is explained by the...

Exercise 5A-2 Least-Squares Regression [LO5-11]

Exercise 5A-2 Least-Squares Regression [LO5-11] Bargain Rental Car offers rental cars in an off-airport location near a major tourist destination in California. Management would like to better understand the variable and fixed portions of it car washing costs. The company operates its own car wash facility in which each rental car that is returned is thoroughly cleaned before being released for rental to another customer. Management believes that the variable portion of its car washing costs relates to the...

Question