Q10 part 2

#1 Find the equation of the regression line for the given 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 given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below.

(a) x= 180 calories

(b) x= 80 calories

(c) x=120 calories

(d) x= 60 calories

Calories, x Sodium, y 160 420 170 470 130 350 130 380 70 270 180 530

Find the regression equation.

(a) Predict the value of y for x=180.

(b) Predict the value of y for x=80.

(c) Predict the value of y for x=120.

(d) Predict the value of y for x=60.

#2 The accompanying data are the shoe sizes and heights (in inches) of

14 men. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not.

(a) x=11.5

(b) x=8.0

(c) x=15.5

(d) x=10.0

Shoe Size, x Height, y 8.5 66 9 69 9 67.5 9.5 70.5 10 70.5 10 72 10.5 71 10.5 69.5 11 71 11 71.5 11 72.5 12 73 12 74 12.5 73.5

The equation of the regression line is

(a) Predict the height for a shoe size of 11.5, if it is meaningful.

(b) Predict the height for a shoe size of 8.0, if it is meaningful.

(c) Predict the height for a shoe size of 15.5, if it is meaningful.

(d) Predict the height for a shoe size of 10.0, if it is meaningful.