Unit 5 - Predictions From Linear Regression

The error of prediction is ____________ for an observed value of 5.6 and a prediction of 6.2.

-0.6

If the response is 10, what is the predictor for Y = -3x + 5?

-1.67

The y-intercept for a regression equation with a mean of y = 3.5, a mean of x = 2.8, and a slope of 2 is __________

-2.1

The slope of a regression equation with r = 0.85, a standard deviation of the y value = 10, and a standard deviation of the x value = 12 is ___________

0.71

An r2 that is close to _________ indicates that all variability has been accounted for in the calculation

1

A(n) ______________ of prediction can occur for observed values that are not near the line of best fit.

error

The y-intercept is the difference in the __________ and the product of the mean of x and the slope.

mean of y

The error of prediction is the observed value _____________ the predicted value.

minus

The _______________ of the regression equation will have the same sign as the correlation of the regression.

slope

The y-intercept is represented in the regression equation by _______

A

The number of sales can be predicted from the price of an item with Y = 3.5x - 2.25. What is the predicted number of sales for a price of $5.50?

17 sales

The bonus percentage for an employee in a company can be predicted by Y = 3.5x - 4.8, where x is the number of projects completed. If an employee received a 2.2% bonus, how many projects did the employee complete?

2

Given that the regression equation for the reaction time in minutes to exposure to a chemical level is Y = 2.3x - 1.8, what is the reaction time to a level of 1.8?

2.34 minutes

A test score can be predicted from the number of hours spent studying with Y = 17x + 15. To achieve a perfect score of 100, the student should study for ___________ hours

5