Problem 4: R Problem 1 In this data set, we will examine the relationship between the weight of a mountain bike and its price? price<-c(1000, 1100, 940, 1100, 700, 600, 440, 450, 550, 340, 180, 140) weight<-c(32, 31, 34, 30, 29, 28, 29, 29, 30, 33, 34, 37) a) What is explanatory and response variable? b) Let y be the response variable and x be the explanatory variable of this problem. Use plot(x, y) or plot(yx) command to construct a scatter plot. Submit the plot. Describe the pattern (linear/non- linear), direction (+/-), strength (weak, moderate, strong) association between the two variable. c) Use cor(x, y) or cor(y, x) to find correlation. Does it agree with your description in part b)? d) Use summary(lm(yx)) and copy and paste R output. Write down the estimated regression equation using correct notations. e) Report the value of r2 from R output.