Question

I need help answering these questions

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answer the question. 1) The purpose of a linear regression line is to A) calculate the correlation coefficient B) display the bivariate distribution of X and Y C) identify the mean of the X and Y variables D) predict one set of scores from another set 2) The general equation for a straight line is expressed as A) Y - X- B) Y-Xb.al C)Y=X+ D) Y-X/b 3) In the equation for a straight line, represents the A) Y-Intercept B) slope degree of association between X and Y D) X-intercept 4) In the equation for a straight line, the slope of the line is represented by the symbol A) Y D) X 5) The slope of a straight line is defined as (Y,-Y). A) minus B) multiplied by (X2-X,). divided by D) plus 6) The amount of change in a Y variable that accompanies a given amount of change in an X variable is the A) slope of a straight line B) length of the prediction line C)Y-intercept of a straight line Di correlation between X and Y 7) If Y -8X, then what is the value of Y when X-107 A)-1.0 B)-08 C) N0 D) Not enough information is given to answer this question. 8) The equation of a straight line is Y -1.4x + 5.0. From this equation we know that A) the line has a slope of -1.4 and intersects the Yaxis at 50 B) the line has a negative slope and Intersects the X axis at +5.0 the line has a slope of 5.0 and intersects the Yaxis at -1.4 D) X and Y are not linearly related 9) If Y +0.5X. A) 20.0 then Y' for X-12 is B)-14.0 C) +20 D) 14.0 10) In linear regression the difference between a value of Y and Y is known as the A) standard error of estimate B) statistical residue C) error of measurement D) residual 11) Which of the following indicates a residual in linear regression? A) Y-Y B) X-X C)Y-Y D) X-T 12) A linear regression line is assumed to A) assume a negative slope near zero if the correlation coefficient is negative B) curve slightly downwards at the lowest value of X C) curve slightly upwards at the highest value of X D) be a straight line relation throughout the range of X values 13) Multiple regression A) uses two or more X variables to predict two or more y variables B) uses two or more X variables to predicta Y variable C) predicts two or more y variables from a single X variable D) has more than one Y-intercept

Answer 1

A) In a linear regression model..

We have dependent variable and independent variables for explaining the dependent variable.

One of the basic purpose of linear regression line is to able to predict one set of scores (dependent) from another set(independent) with the help of fitted regression line.

D option is correct.

2 The general equation for the straight line is

Y=a+bX

Where Y is dependent variable

X is independent variable

a,b are parameters of the model.

C option is correct

3)The slope of straight line is represented by 'b'.

Option B is correct.

4) In the above straight line .

Slope of the line is 'b' which is coefficient of X variable.

OptionB is correct.

5)In the straight line in general form slope is

(Y2-Y1)/(X2-X1)

C is correct.

6)The amount of change in Y variable that accompanies a given amount of change in X variable is the slope of the straight line

A is correct

7)

Y=-.8X

When X=10

Y is -.8*10=-8

A IS CORRECT.

8) If Y is Y=-1.4+5X

Then slope is 5 and intersect the Y axis at -1.4

C is correct.