1. A sales manager collected the following data on salespersons’ annual sales and years of experience.
Years of Annual Sales
Salesperson Experience ($1000s)
1 1 80 2 3 97 3 4 92 4 4 102 5 6 103 6 8 111 7 10 119 8 10 123 9 11 117
10 13 136
a. Develop a scatter diagram for these data with years of experience as the independent variable. b. Develop an estimated regression equation that can be used to predict annual sales given the years of experience.
c. Use the estimated regression equation to predict annual sales for a salesperson with nine years of experience.
2. Diane's Beauty Salon is currently hiring beauticians at its new location …show more content…
Develop a scatter diagram for these data with advertising expenditure as the independent variable. b. Develop an estimated regression equation that can be used to predict revenue given the advertising expenditure.
c. Use the estimated regression equation to predict revenue when the advertising expenditure is $8,000.
5. A statistics professor investigated some of the factors that affect an individual student's final grade in his course. She proposed a multiple regression model, where y is the final grade (out of 100), x1 is the number of lectures skipped, x2 is the number of late assignments, and x3 is the mid-term test grade (out of 100). The professor recorded the data for 50 randomly selected students. The regression equation is: y = 41.6 – 3.18x1 – 1.17x2 + 0.63x3
Interpret the coefficient values for x1 , x2 , and x3
6. A statistician wanted to determine if the demographic variables of age, education, and income influence the number of hours of television watched per week. A random sample of 25 adults was selected to estimate the multiple regression model, where y is the number of hours of television watched last week, x1 is the age (in years), x2 is the number of years of education, and x3 is income (in $1,000). The regression equation