Mathematics, 27.05.2020 10:58 faithtunison

The total amounts of rainfall at various points in time during a thunderstorm are shown in the table. According to a regression calculator, what is the equation of the line of best fit for the data

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Answer from: greend0719

^Y= 0.03 + 0.59Xi; r= 0.9979

Step-by-step explanation:

Hello!

Given the variables:

Y: Rainfall in cm

X: Time in hours.

The estimated regression line is:

^Y= a + bX

a= Y[bar]-bX[bar]

$b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{[sumX^2-\frac{(sumX)^2}{n} ]}$

∑X= 15.70; ∑X²= 53.07; ∑Y= 9.50; ∑Y²= 19.29; ∑XY= 31.98

n= 6; X[bar]= 2.62; Y[bar]= 1.58

$b= \frac{31.98-\frac{15.70*9.50}{6} }{[53.07-\frac{(15.70)^2}{6} ]}= 0.59$

a= 1.58-0.59*2.62= 0.03

And the correlation coefficient:

$r= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{\sqrt{[sumX^2-\frac{(sumX)^2}{n} ][sumY^2-\frac{(sumY)^2}{n} ]} } = \frac{31.98-\frac{15.70*9.50}{6} }{\sqrt{[53.07-\frac{(15.70)^2}{6} ][19.29-\frac{(9.50)^2}{6} ]} } = 0.9979$

I hope this help!

Full text

The total amounts of rainfall at various points in time during a thunderstorm are shown in the table.

Rainfall During a Thunderstorm

Time (hours)

0.4

1.1

2.9

3.2

3.7

4.4

Rainfall (cm)

0.3

0.6

1.8

2.0

2.2

2.6

According to a regression calculator, what is the equation of the line of best fit for the data?

A calculator screen. A 2-column table with 6 rows titled Data. Column 1 is labeled x with entries 0.4, 1.1, 2.9, 3.2, 3.7, 4.4. Column 2 is labeled y with entries 0.3, 0.6, 1.8, 2, 2.2, 2.6. The linear regression equation is y almost-equals 0.594 x + 0.029; r almost-equals 0.998.

y almost-equals 0.06 x + 0.03

y almost-equals 0.06 x + 0.29

y almost-equals 0.59 x + 0.03

y almost-equals 0.59 x + 0.29

Answer from: Quest

you might have to contact customer support. if you have it on your iphone you just got into your settings> subscriptions> cancel

step-by-step explanation:

Answer from: Quest

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

Identify the transformation that maps the figure with center (7, 1) onto itself. a) rotate 180° cloc

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