Question

The intercept a describes? A). The amount variance accounted for B). The estimated difference in response...

The intercept a describes?

A). The amount variance accounted for
B). The estimated difference in response variable (y) if the explanatory variable (x) is one unit larger.
C). The correlation between x and y.
D). The average outcome when the explanatory variable (x) is equal to zero.

Homework Answers

Answer #1

answer is option D

we know that the regression equation is y = a + bx

where a is intercept and b is slope.

when we put x = 0, then we have the following equation , y = a + b*0 = a +0 = a

so, the intercept is the outcome when the explanatory variable x is equal to 0

thus, only option D is correct.

option A is incorrect because b never account for variance

option B is incorrect because we can't find out the value of b when the x value is one unit as the equation becomes y = a + b*1 = a+b, so this is an equation of a and b, but not only a

option C is incorrect because the correlation between x and y is denoted by r which is not a part of the regression equation.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
a. A line has an intercept of 9 and a slope of 5.4. When x is...
a. A line has an intercept of 9 and a slope of 5.4. When x is 10, what is y?_________ b. A line is given as y = 44 + 9.2 x If x increases by 2 units, y increases by ___ (if y decreases, the answer should be a negative number) (provide one decimal place)_______ c. A regression analysis states that R-squared = 0.86. Which of these is correct? 86% of the variability in the response variable is due...
Here is the "theoretical" regression equation: yi = β0 + β1xi + εi 1. Select the...
Here is the "theoretical" regression equation: yi = β0 + β1xi + εi 1. Select the appropriate name for each component of the equation. yi:  ---Select--- The linear correlation coefficient The population intercept The estimated intercept The population slope The estimated slope The LOBF The "random error" term The predictor variable The response variable The confounding variable The sampling bias β0:  ---Select--- The linear correlation coefficient The population intercept The estimated intercept The population slope The estimated slope The LOBF The "random...
In the simple linear regression model estimate Y = b0 + b1X A. Y - estimated...
In the simple linear regression model estimate Y = b0 + b1X A. Y - estimated average predicted value, X – predictor, Y-intercept (b1), slope (b0) B. Y - estimated average predicted value, X – predictor, Y-intercept (b0), slope (b1) C. X - estimated average predicted value, Y – predictor, Y-intercept (b1), slope (b0) D. X - estimated average predicted value, Y – predictor, Y-intercept (b0), slope (b1) The slope (b1) represents A. the estimated average change in Y per...
23. Which of the following represent measures of variability (or dispersion)? a. variance and mean b....
23. Which of the following represent measures of variability (or dispersion)? a. variance and mean b. standard deviation and range c. standard deviation and mean d. median and mode 10. If a marketing manager is considering segmenting the market by age, which of the following differences between age groups in product usage rates would provide reliable evidence? a. a positive difference b. a mathematically significant difference c. a large difference d. a statistically significant difference 20. The regression coefficient b,...
Consider a linear regression model where y represents the response variable, x is a quantitative explanatory...
Consider a linear regression model where y represents the response variable, x is a quantitative explanatory variable, and d is a dummy variable. The model is estimated as  yˆy^  = 15.4 + 3.6x − 4.4d. a. Interpret the dummy variable coefficient. Intercept shifts down by 4.4 units as d changes from 0 to 1. Slope shifts down by 4.4 units as d changes from 0 to 1. Intercept shifts up by 4.4 units as d changes from 0 to 1. Slope shifts...
60.       If we have a regression line predicting the amount of improvement in your performance as...
60.       If we have a regression line predicting the amount of improvement in your performance as a function of the amount of tutoring you receive, an intercept of 12 would mean that a) you need to have 12 hours of tutoring to get an A. b) if you don’t have any tutoring, the best you can do is a grade of 12. c) even without tutoring you will improve. d) tutoring helps. A significant slope means that a) the slope...
The Variance Inflationary Factor (VIF) measures the Select one: a. standard deviation of the slope b....
The Variance Inflationary Factor (VIF) measures the Select one: a. standard deviation of the slope b. contribution of each X variable with the Y variable after all other X variables are included in the model c. correlation of the X variables with each other d. correlation of the X variables with the Y variable Which of the following will not change a nonlinear model into a linear model? Select one: a. Square-root transformation b. Logarithmic transformation c. Variance inflationary factor...
1) a. A negative value for b indicates that high values on the predictor are associated...
1) a. A negative value for b indicates that high values on the predictor are associated with  (low/high) values on the outcome variable. b. True or False: The value of b indicates the amount of change in the outcome variable for every 1 unit change in the predictor variable 2) Assuming all else is equal, a variable (A) with a correlation to Y of r = -0.51 will produce more accurate predictions of Y than a variable (B) with a correlation...
estimate std.error Intercept 26184.4 3517.3 snowfall 3824.8 247.5 r^2=.8565 adjusted r^2= .8529 s=8991 For each additional...
estimate std.error Intercept 26184.4 3517.3 snowfall 3824.8 247.5 r^2=.8565 adjusted r^2= .8529 s=8991 For each additional inch of snowfall, steam runoff decreases by 26,184 acre-feet, on average. increases by 26,184 acre-feet, on average. .decreases by 3824 acre-feet, on average.   increases by 3824 acre-feet, on average If multicollinearity is present, then we can conclude that the fitted regression model: may have estimated slopes very different from what we should expect due to numerical instabilities, making correct interpretation of the effect on...
Problem Set 6: a) The variance is high if the mean is a good measure for...
Problem Set 6: a) The variance is high if the mean is a good measure for central tendency. b) If the covariance of X and Y is close to −1, then there is a weak negative relationship between X and Y . c) The standard deviation of X is always greater than or equal to the variance of X. d) The covariance of X and Y is always smaller than or equal to the correlation coefficient of X and Y...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT