Exam 14: Simple Linear Regression

If the coefficient of determination is equal to 1, then the coefficient of correlation _____.

The interval estimate of the mean value of y for a given value of x is the _____.

The primary tool or measure for determining whether the assumed regression model is appropriate is _____.

In a residual plot against x that does NOT suggest we should challenge the assumptions of our regression model, we would expect to see a _____.

A measure of the strength of the relationship between two variables is the _____.

In a regression analysis, if r² = 1, then _____.

Regression analysis is a statistical procedure for developing a mathematical equation that describes how _____.

A company has recorded data on the weekly sales for its product (y) and the unit price of the competitor's product (x). The data resulting from a random sample of seven weeks follows. Use Excel to a. Compute a $95 \%$ confidence interval for expected sales for all weeks when the competitor's price is $0.30$ . b. Compute a $95 \%$ prediction interval for sal es for a week when the competitor's price is $0.30$ . Week Price Sales 1 0.33 20 2 0.25 14 3 0.44 22 4 0.40 21 5 0.35 16 6 0.39 19 7 0.29 15 ​

The standardized residual is provided by dividing each residual by its _____.

Application of the least squares method results in values of the y-intercept and the slope that minimizes the sum of the squared deviations between the _____.

In regression analysis, the variable that is being predicted is the _____.

A least squares regression line ______.

Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). Use Excel's Regression tool to construct a residual plot and use it to determine if any model assumptions have been violated. x y 2 12 3 9 6 8 7 7 8 6 7 5 9 2

If a data set has SST = 2,000 and SSE = 800, then the coefficient of determination is _____.

In a simple regression analysis (where y is a dependent and x an independent variable), if the y-intercept is positive, then it must be true that _____.

In simple linear regression, r² is the _____.

If the coefficient of correlation is .8, then the percentage of variation in the dependent variable explained by the estimated regression equation is _____.

SSE can never be _____.

Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). Use Excel to develop a scatter diagram and to compute the least squares estimated regression equation and the coefficient of determination. x y 2 12 3 9 6 8 7 7 8 6 7 5 9 2

If the coefficient of correlation is a negative value, then the coefficient of determination _____.