Regression analysis quiz_sc

Regression analysis was applied between sales data (Y in $1000s) and advertising data (x in $100s) and the following information was obtained Y= 12 + 1.8x n= 17 SSR= 225 SSE= 75 Sb1= 0.2683 Based on the above estimated regression equation, if advertising is $3000, then the point estimate for sales (in dollars) is

$66,000

In regression analysis, the error term ε is a random variable with a mean or expected value of

0 Answer: μ = 0 In simple linear regression the error terms have mean zero and it is denoted by μ. As errors are normally distributed random variables with expected value zero.

The following information regarding a dependent variable (Y) and an independent variable (X) is provided. y x 4 2 3 1 4 4 6 3 8 6 SSE=6 SST=16 The MSE is

2

Regression analysis was applied between sales data (Y in $1000s) and advertising data (x in $100s) and the following information was obtained Y= 12 + 1.8x n= 17 SSR= 225 SSE= 75 Sb1= 0.2683 The F statistic computed from the above data is

45

A least squares regression line

implies a cause-effect relationship between x and y

A regression analysis between sales (Y in $1000) and advertising (X in dollars) resulted in the following equation: 30,000 + 4 X. The equation implies that an

increase of $1 in advertising is associated with an increase of $4,000 in sales Explained: Here is our estimate of the slope parameter =4 And X is in dollars whereas Y is in 1000 dollars. Answer (D) Increase of $1 in advertising is associated with an increase of $4000 in sales. ??? SC yhat=bo + b1 x 30,000 + 4 x 30,000 + (4*1) 30,000 + $4000 https://www.chegg.com/homework-help/questions-and-answers/regression-analysis-sales-yin-1000-advertising-x-dollars-resulted-following-equation-y-30--q60159033?trackid=d211822dc08a&strackid=c402544aefb8

In a regression analysis if SSE = 200 and SSR = 300, then the coefficient of determination is

0.6000 Given data: SSE = 200 SSR = 300 Now, SST = SSR + SSE SST = 300 + 200 SST = 500 Coefficient of determination is given as follows: R^2=SSR/SST R^2=300/500 R^2= 0.6

In a regression analysis, the coefficient of determination is 0.4225. The coefficient of correlation in this situation is

0.65

If all the points of a scatter diagram lie on the least squares regression line, then the coefficient of determination for these variables based on these data is

1

Advertising is in $100, so when advertising is $1000, we use x = 10 Predicted value for x = 10 is given by regression equation: hat y =b 0 +b 1 x; hat y =(50)+(8)*(10)=130 Since sales is in $10000, this answer is same as:

1 300 000

Regression analysis was applied between sales (in $10,000) and advertising (in $100), and the following regression function was obtained. Y^ = 50 + 8x Based on the above-estimated regression line, if advertising is $1,000, then the point estimate for sales (in dollars) is

1,300,000

Regression analysis was applied between sales data (y in $1,000s) and advertising data (x in $100) and the following information was obtained. Y^ = 12 + 1.8x n=17 SSR=225 SSE=75 SB1=.2683 The critical t value for testing the significance of the slope at a .05 level of significance is

Degrees of freedom = n - 2 = 17 - 2 = 15 For 15 df and 0.05 significance level, Two tailed critical t value = 2.131

In a regression and correlation analysis if r2 = 1, then

SSE must be equal to zero

In a regression and correlation analysis if r2 = 1, then

SSR = SST

Which of the following is correct?

SST = SSR + SSE

In the following estimated regression equation Ŷ = b0 + b1x, a. b1 is the slope. b. b1 is the intercept. c. b1x is the slope. d. b1x is the intercept.

a. b1 is the slope.

In regression analysis, the variable that is being predicted is a. called the dependent variable b. called the independent variable c. called the intervening variable d. usually denoted as x

a. called the dependent variable

In a regression analysis, the standard error is determined to be 4. In this situation the MSE a. is 16 b. is 2 c. depends on the sample size d. depends on the degrees of freedom

a. is 16 MSE =4^2 =16

If the coefficient of determination is a positive value, then the coefficient of correlation

can be either negative or positive

The coefficient of determination

cannot be negative

In simple linear regression, R^2 is the

coefficient of determination

In regression analysis, the expression y = β(0) + β(1) + ε is called the a. regression coefficient b. correlation equation c. estimated regression e.quation d. regression model

d. regression model

Regression analysis was applied between the demand for a product (Y) and the price of the product (X), and the following estimated regression equation was obtained =120-10x Based on the above-estimated regression equation, if the price is increased by 2 units, then demand is expected to

decrease by 20 units

A regression analysis between demand (Y in 1000 units) and price (X in dollars) resulted in the following equation: 9 - 3X. The equation implies that if the price is increased by $1, the demand is expected to

decrease by 3,000 units

The model developed from sample data that has the form of Ŷ = b0 + b1x is known as the

estimated regression equation.

You are given the following information about y and x. y Dependent Variable x Independent Variable 12 4 3 6 7 2 6 4 The least-squares estimate of the slope or b1 equals

https://www.chegg.com/homework-help/questions-and-answers/exhibit-12-3-given-following-information-y-x-y-dependent-variable-x-independent-variable-1-q23885161?trackid=09bda1190fa7&strackid=abe396392235 answer is -1

You are given the following information about y and x. Dependent Variable (y) Independent Variable (x) (y) (x) 5 4 7 6 9 2 11 4

https://www.chegg.com/homework-help/questions-and-answers/given-following-information-y-x-dependent-variable-y-independent-variable-x-5-4-7-6-9-2-11-q49032426?trackid=efba9bfde5ff&strackid=dac09a4093c3 answer is 10

The following information regarding a dependent variable (Y) and an independent variable (X) is provided. y x 4 2 3 1 4 4 6 3 8 6 SSE=6 SST=16 THE COEFFICIENT OF DETERMINATION IS

https://www.chegg.com/homework-help/questions-and-answers/question-28-exhibit-5-questions-28-31-following-information-regarding-dependent-variable-y-q60212193?trackid=f04baea05579&strackid=aac10feee277 Answer is .625 The coefficient of determination ( R^2 ) = 1 - ( SSE / SST ) = 1 - ( 6 /16 ) =0.625 The coefficient of determination = 0.625

A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation =60-8x The above equation implies than an

increase of $1 in price is associated with a decrease of $8000 in sales

If the coefficient of correlation is a positive value, then the regression equation

must have a positive slope

The mathematical equation relating the independent variable to the expected value of the dependent variable; that is E(y) = β0 + β1x, is known as

regression equation

The standard error of the estimate is the,

square root of MSE

In a simple linear regression analysis (where y is a dependent and x an independent variable)if the y-intercept is positive then

the estimated line intercepts the positive y axis

In regression analysis, which of the following is not a required assumption about the error term ε?

the expected value of the error term is one

The equation that describes how the dependent variable (y) is related to the independent variable (x) is called

the regression model

In a regression analysis, the error term is a random variable with a mean or expected 𝜀value of

zero