Exam 15: Simple Linear Regression and Correlation

Unemployed The data below are for the number of unemployed persons (in millions)and the federal unemployment insurance payments (in billions of dollars)for the years 1978 - 1985.Some economists state that these two variables are positively related. Year Federal Unemployment Insurance Payments 11.8 10.7 18.0 19.7 23.7 31.5 18.4 16.8 Number of Unemployed Persons 6.2 6.1 7.6 8.3 10.7 10.7 8.5 8.3 -Use these data to develop an estimated regression equation. $\hat{ Y }$ = ____________________

Which of the following table values would be appropriate for a 95% confidence interval for the mean of y from a simple linear regression problem if the sample size is 7?

The simple linear regression model assumes that for any given value of x,the population of residuals will be normally distributed with a mean of zero and a standard deviation of 1.

The following values are listed as coefficients of correlation (r).The one that indicates an inverse relationship between the two variables x and y is:

Household The following data was collected by a particular company to determine if a relationship exists between the number of people in a household and weekly food expenditures. Househald Number in Hausehald Weakly Fadd Expenses 1 2 \ 95 2 3 \ 137 3 5 \ 165 4 2 \ 105 5 4 \ 227 6 4 \ 240 7 5 \ 185 -Determine the least-squares regression line.