) Use your regression equation to predict the height of an eruption if it has been 15 hours since the last erruption. Round your answer to one decimal place. Predicted height: ? meters

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(C) Use your regression equation to predict the height of an eruption if it has been 15 hours since the last erruption. Round your answer to one decimal place.

Predicted height: ? meters

You work for a regional geological survey and are studying the eruptions of a local geyser. Your study includes modelling the height of the geyser's eruptions
based on the period of time since the last eruption. You are going to collect a random sample of 11 of the geyser's eruptions and for each note the time since
the last eruption (denoted by x, in hours) and the height of the eruption (denoted by y, in meters). You will also note the product x'y of the time and the height
for each eruption. (These products are written in the row labeled "xy").
(a) Click on "Take Sample" to see the results for your random sample.
Time since last
eruption, x
7
17
12
19
8
9
7
12
16
5
(in hours)
Take Sample
Eruption
height, y
16.3
40.9
36.6
48.5
22.7
47.1
28.1
24.8
29.2
35.4
19.2
(in meters)
695.3 439.2
5 | 181.6
ху
114.1
921.5
989.1
252.9
173.6
350.4
566.4
96
Send data to calculator
Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places. When
you are done, select "Compute". (In the table below, n is the sample size and the symbol E xy means the sum of the values xy.)
n:
Sample correlation coefficient (r):
X :
y: U
Slope (b,):
s: 0
21
Transcribed Image Text:You work for a regional geological survey and are studying the eruptions of a local geyser. Your study includes modelling the height of the geyser's eruptions based on the period of time since the last eruption. You are going to collect a random sample of 11 of the geyser's eruptions and for each note the time since the last eruption (denoted by x, in hours) and the height of the eruption (denoted by y, in meters). You will also note the product x'y of the time and the height for each eruption. (These products are written in the row labeled "xy"). (a) Click on "Take Sample" to see the results for your random sample. Time since last eruption, x 7 17 12 19 8 9 7 12 16 5 (in hours) Take Sample Eruption height, y 16.3 40.9 36.6 48.5 22.7 47.1 28.1 24.8 29.2 35.4 19.2 (in meters) 695.3 439.2 5 | 181.6 ху 114.1 921.5 989.1 252.9 173.6 350.4 566.4 96 Send data to calculator Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places. When you are done, select "Compute". (In the table below, n is the sample size and the symbol E xy means the sum of the values xy.) n: Sample correlation coefficient (r): X : y: U Slope (b,): s: 0 21
Slope (b,):
S :
E xy: I
y-intercept (b,):
Compute
(b) Write the equation of the least-squares regression line for your data. Then on the scatter plot for your data, graph this regression equation by plotting
two points and then drawing the line through them. Round each coordinate to three decimal places.
Regression equation: y = |
y
55+
50+
45+
40+
35+
30
25
20-
15+
10-
Eruption height
(in meters)
Transcribed Image Text:Slope (b,): S : E xy: I y-intercept (b,): Compute (b) Write the equation of the least-squares regression line for your data. Then on the scatter plot for your data, graph this regression equation by plotting two points and then drawing the line through them. Round each coordinate to three decimal places. Regression equation: y = | y 55+ 50+ 45+ 40+ 35+ 30 25 20- 15+ 10- Eruption height (in meters)
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