A researcher found that the linear regression equation has a slope of 3 and an intercept of -6. What is the predicted value of Y for an X of 3?

(b) What is the change in mean chlorine content when the degree of delignification increases from 7 to 8?What is the change in mean chlorine content when the degree of delignification increases from 9 to 10?

The regression slope predicts the change in Y per unit change in X.   True False

Chris collects personal data on coffee consumption x (in cups) and the following night's sleep y (in hours). Fitting a linear regression to the data, Chris learns that the slope is -0.43. One evening Chris uses his regression and predicts 6.47 hours of sleep. Then Chris remembers that his "coffee count" was off in making this estimate; Chris drank in an atypical additional 2 cups of coffee over lunch break. What should Chris' predicted sleep be (in hours)? Answer to the nearest 0.01 hours. (There is insufficient information here to produce the equation of the least squares line. You may need to look back in the course notes to find out how the slope is interpreted, and how that can be used to solve this problem.)

The volume (in cubic feet) of a black cherry tree can be modeled by the equation y = - 51.7 +0.4x, +4.7x2, where x, is the tree's height (in feet) and x, is the tree's diameter (in inches). Use the multiple regression equation to predict the y-values for the values of the independent variables. (a) x, = 72, x2 = 8.7 (b) x, = 65, x2 = 10.2 (c) x4 = 81, x2 = 17.5 (d) x, = 90, x2 = 20.7 %3D (a) The predicted volume is cubic feet. (Round to one decimal place as needed.)

Define the different ways to use linear regression?

A researcher is studying the relationship between self-esteem (X) and romantic jealousy (Y).  She finds that these variables are related by the equation Ŷ = –2.24(X) + 6.72.  Which of the following statements is a CORRECT interpretation of what the slope and/or intercept is telling you in this regression equation?   Group of answer choices For every one unit that jealousy increases, self-esteem is predicted to go up by 6.72 units. For every one unit that self-esteem increases, jealousy is predicted to go down by 2.24 units. For every one unit that jealousy increases, self-esteem is predicted to go down by 2.24 units. For every one unit that self-esteem increases, jealousy is predicted to go up by 6.72 units.

Based on the data from 6 students, the regression equation relating number of hours of preparation (x) and test score (y) is y=67.3 + 1.07x . What is the best predicted test score for a student who spent 120 minutes preparing for the test?

For a linear regression b1 is the estimated y-intercept, and b0is the estimated slope of the regression line.   True or False

The table below shows the amounts of crude oil (in thousands of barrels per day) produced by a country and the amounts of crude oil (in thousands of barrels per day) imported by a country, for the last 7 years. Construct and interpret a 98% prediction interval for the amount of oil imported by the country and the amount of oil produced by the country is 5,483 thousand barrels per day. The equation of the regression line is y = -1.194x + 16,234.906