Question

only 10

In Exercises 9-12, find the equation of the regression line for the data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. If convenient, use technology. 9. The amounts (in billions of pounds) of milk produced in the United States and the average prices (in dollars) per gallon of milk for nine years (Adapted from U.S. Department of Agriculture and U.S. Bureau of Labor Statistics) Milk produced, c. Price per gallon y 167.6 165.3 2.792.90 170.1 2.68 170.4 2.95 170.9 3.23 Milk produced 177.0 181.8 185.7 | 190.0 Price per gallon, y: 3.243.00 3.87 | 3.68 (a) x = 150 billion pounds (b) x = 175 billion pounds (c) x = 180 billion pounds (d) x = 210 billion pounds 10. The average times (in hours) per day spent watching television for men and women for 10 years (Adapted from The Nielsen Company) Men, ts Women, y 4.03 4.18 4.32 4.67 4.77 4.85 4.37 4.48 4.97 5.08

Answer 1

Question (10)

The regression output is as follows

The Regression equation is

SUMMARY OUTPUT Men, x 4.03 4.18 Women, y 4.67 4.77 4.32 4.85 Regression Statistics Multiple R 0.966895656 R Square 0.93488721 Adjusted R Square 0.926748111 Standard Error 0.068934254 Observations 10 4.37 4.97 4.48 4.43 4.52 5.08 5.12 5.28 5.28 5.32 5.42 4.58 ANOVA df 4.65 4.82 Regression Residual Total SS 0.545824549 0.038015451 0.58384 MS F Significance F 0.545825 114.8637 5.04847E-06 0.004752 Intercept Men Coefficients 0.299281773 1.076322268 Standard Errort Stat P-value Lower 95% 0.446228195 0.670692 0.521305 -0.72972229 0.100427089 10.71745 5.05E-06 0.844736986 Upper 95% 1.328285835 1.307907551

Women = 0.2993 + 1.0763 * Men

Y = 0.2993 + 1.0763 * X

The scatter plot with the regression line is as follows

Avergage time watching television spent by Women Vs Men y = 1.0763x +0.2993 Men, 4.03 4.18 4.32 4.37 4.48 4.43 4.52 4.58 4.65 4.82 Women, y 4.67 4.77 4.85 4.97 5.08 5.12 5.28 5.28 5.32 5.42 un nu Average time spend by Women 3.9 4 4.1 4.7 4.8 4.9 4.2 4.3 4.4 4.5 4.6 Avergae time spent by Men

Avergage times in hours per day spent watching for men and women for 10 years is

Average = Sum of all the values / Number of values

= 95.14 / 20

= 4.75

So Avergage times in hours per day spent watching for men and women for 10 years is 4.75 hours

Answer is Option C