Data on the top speed and maximum height for a random sample of 10 ?roller coasters in the United States is given in the table below.

Top Speed (mph)	Maximum Height (feet)
65	150
70	100
80	164
70	120
60	76
65	157
45	85
55	115
85	206
75	200

(a)If the goal is to learn about how top speed is related to maximum height, which of these two variables is response variable and is the predictor variable?

(A)The predictor variable is maximum height and the response variable is top speed.

(B)The predictor variable is top speed and the response variable is maximum height.

(b) ?Construct a scatterplot of the data. How would you describe the relationship between these two variables?

(A) The relationship could be described as a moderately strong negative linear association.

(B) The relationship could be described as a weak positive linear association.

(C) The relationship could be described as a weak negative linear association.

(D) The relationship could be described as a moderately strong positive linear association.

(c) Find the correlation coefficient. (Round to four decimal places)

 Interpret it in the form of given data.

(d) Compute the coefficient of determination (r^2)? Interpret it in the form of given data.

(e) Develop and estimated regression equation showing how dependent variable is related to independent variable. What is the estimated regression model? (Round numerical values to four decimal places.)

(f) Interpret the regression coefficients.

(g) To predict the response variable when X=67?