Please help me answer PRACTICE EXERCISE with SOLUTION

Practice Exercises 6.1 1. The equation if a line is y = 0.5x + 2. a. Pick five distinct x-values, use the equation to compute the corresponding y-values, and plot the five points obtained. b. Give the value of the slope of the line; then give the value of the y-intercept. 2. The equation if a line is = -2x + 4 a. Pick five distinct x-values, use the equation to compute the corresponding y-values, and plot the five points obtained. b. Give the value of the slope of the line; then give the value of the y-intercept. 3. Based on the information given about a line, determine how y will change (increase, decrease, or stay the same) when x is increased, and explain. In some cases it might be impossible to tell from the information given. a. The slope is positive. b. The y-intercept is positive. c. The slope is zero. 4. A data set consists of eight (x,y) pairs of numbers: (0,12) (2,15) (4,16) (5,14) (8,22)(13,24)(15,28)(20,30) a. Plot the data in a scatter diagram. b. Based on the plot, explain whether the relationship between x and y appears to involve randomness. c. Based on the plot, explain whether the relationship between x and y appears to be linear or not. 5. At 60 F a particular blend of automotive gasoline weights 6.17 1b/gal. The weight y of gasoline on a tank truck that is loaded with x gallons of gasoline is given by the linear equation Y = 6.17x a. Explain whether the relationship between the weight y and the amount x of gasoline has an element of randomness. b. Predict the weight of gasoline on a tank truck that has just been loaded with 6,750 gallons of gasoline. 6. The pricing schedule for labor on a service call by an elevator repair company is Php 7500 plus Php 2500 per hour on site. a. Write down the linear equation that relates the labor cost y to the number of hours x that the repairman is on site. b. Calculate the labor cost for a service call that lasts 2.5 hours. 154 STATISTICS AND PROBABILITY