Exercise is an essential component of a healthy lifestyle, and many college students incorporate exercise into their daily routine. One VCU student tracked his exercise routine at the Cary Street Gym for a simple random sample of 30 days. For each of the 30 days he recorded data for the three variables. The data table is below.

Day	Cardio	Length of workout (minutes)	Calories Burned
1	IW	77	206
2	R	80	122
3	IW	110	250
4	R	102	115
5	R	115	108
6	R	61	190
7	R	87	170
8	A	89	125
9	IW	93	225
10	R	107	130
11	IW	110	246
12	R	98	156
13	R	74	178
14	R	45	155
15	A	72	134
16	IW	83	308
17	IW	134	392
18	IW	117	280
19	R	106	119
20	R	57	102
21	R	97	159
22	R	66	167
23	A	62	140
24	R	112	178
25	R	77	184
26	IW	46	406
27	IW	104	289
28	A	92	186
29	R	138	144
30	IW	74	277

The first variable is the type of cardio chosen that day. This is a qualitative variable with three possible responses: running (denoted R in the data table below); walking on a treadmill with an incline (denoted IW in the data table below); and agility drills (denoted A in the data table below). The second variable is the length of the aerobic portion of the workout, measured in minutes. The third variable is the number of calories burned during the aerobic portion of the workout. Both the second and third variables are quantitative variables.

1. This question uses the two quantitative variables, length of the workout in minutes and the number of calories burned. The goal is to use the length of the workout to predict the number of calories burned.

(a). Based on this information, clearly state which variable is the independent variable X and which variable is the dependent variable Y.

(b).Construct a scatterplot that displays the relationship between the two variables.

(c). Calculate the correlation coefficient between the two variables. Round your final answer to four decimal places.

(d). Calculate the intercept and slope, each to three decimal places, and use the results to write out the regression line for predicting the dependent variable from the independent variable.

(e). Using all the results above, provide a verbal description of the relationship between the two variables.