The owner ofr Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (N) as a function of television advertising (31) and newspaper advertising (). Values of 9, z1, and are expressed in thousands of dollars, Weekly Gross Television Newspaper Revenue Advertising Advertising ($1000s) ($1000s) ($1000s) 96 5.0 1.5 90 2.0 2.0 95 4.0 1.5 76 92 2.5 2.5 95 3.0 3.3 94 3.5 2.3 94 2.5 4.2 94 3.0 2.5 The estimated regression equalion was - 83.23 + 2.292 +1.30z a. What is the gross revenue expected for a week where $3,500 is spent on television (*1 =3.5) and $1,800 is spent bn newspaper advertisiny ( = 1.8) (to 3 decimats)? thousand b. Provide a 95% prediction interval for next week's revenue, assuming that the advertising expenditures wil be allucatad as in part (4) (To 2 Juinials) thousand, $ thuusand)

A recent study showed that the hours a person exercised in a week affected the individual'sresting heart rate. It was computed that r = -.68 and the least squares regression line was?̂ = 83-1.4x, where x is the hours exercised and y is the resting heart rate.   d. What percentage of variability in resting heart rate can be explained by variability inhours exercised?

A trucking company considered a multiple regression model for relating the dependent variable y = total daily travel time for one of its drivers (hours) to the predictors x₁ = distance traveled (miles) and x₂ = the number of deliveries made. Suppose that the model equation is Y = -0.800+ 0.060x₁ +0.900x₂ + e (a) What is the mean value of travel time when distance traveled is 50 miles and four deliveries are made? hr (b) How would you interpret ₁ = 0.060, the coefficient of the predictor x₁? O When the number of deliveries is constant, the average change in travel time associated with a ten-mile (i.e. one unit) increase in distance traveled is 0.060 hours. O The total daily travel time increases by 0.060 hours when the distance traveled increases by 1. O When the number of deliveries is held fixed, the average change in travel time associated with a one-mile (i.e. one unit) increase in distance traveled is 0.060 hours. O The average change in travel time associated with a one-mile (i.e.…

The regression equation to predict the total world gross ticket sales from the opening weekend ticket sales is:    WorldGross^=9.23+6.87⋅OpeningWeekend Interpret the y-intercept of the regression line in context.