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bearhunter [10]
3 years ago
14

Nancy is curious if the consumption of sweets, mainly donuts, increases as people get older. Nancy asked 200 customers at a loca

l Krispy Kreme how many donuts they eat in a month, y, and recorded their age, x. She obtained the following regression line y=47-1.36x. What is the meaning of the slope of this regression line
Mathematics
1 answer:
castortr0y [4]3 years ago
7 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Number of donuts consumed in a month = y

Age = x

Regression equation obtained :

y=47-1.36x

Meaning of slope of the regression line ;

Comparing the regression equation obtained with the general equation of a linear regression line ;

y = mx + c; where m = slope of the regression line

Hence, the value of slope in the equation is = - 1.36

Thus, the slope can be interpreted as ; The number of donuts consumed in a month is expected to decrease by 1.36 for per(1) increase in age x of consumer.

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An oarsman can row his boat 3 mph in still water. He sets out on the Illinois River, which flows at 5 mph. We are interested in
Artyom0805 [142]

Answer:

The speed from the observer is 8 mph.

Step-by-step explanation:

When the boat is going downstream with full force, its speed will be the one the oarsman can row on still water added by the flow of the river. In this case he can row the boat at speed of 3 mph, while the stream is 5 mph, so the speed from the observer standpoint is:

speed = 3 + 5\\speed = 8 \text{ mph}

The speed from the observer is 8 mph.

4 0
3 years ago
A river is flowing at the speed of 2 miles per hour. A kayaker moves 528 feet upstream in 20 minutes. At this rate, how fast wou
CaHeK987 [17]
D=rt
r=(boatrate+riverrate)=(x+2)mph

d=528ft=528/5280mi=1/10mi
t=1/3hr
remember to keep the same units
so

1/10=(x+2)(1/3)
times both sides by 3
3/10=x+2
minus 2 or 20/10
-17/10=x
-1.7=x
it would be going -1.7mph (means going backwards)
4 0
3 years ago
HELP!!! 15 points. picture below
vlada-n [284]

Step-by-step explanation:

\sin( \alpha )  =  \frac{ \sqrt{5} }{3}  \\  \alpha  = 48.19 \: degrees  \\   \cos( \alpha )  =  \frac{2}{3}

7 0
3 years ago
Read 2 more answers
The local branch of the Internal Revenue Service spent an average of 21 minutes helping each of 10 people prepare their tax retu
AURORKA [14]

Answer:

The confidence Interval is [- 0.7053  10.4521]

a: The  hypotheses  are

H0: μ1=μ2    against the claim Ha :μ1≠μ2

b. The critical value for t∝/2 for 17 d.f  t > 2.508 and  t < -2.111

c. t= -2.8422

d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.

Step-by-step explanation:

When the standard deviations are not the same then the confidence intervals for mean differences are calculated as

(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2

x1`= 21        x2`= 27

n1=  10       n2= 14

s1= 5.6       s2= 4.3

The degrees of freedom is calculated using

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

= 17

The t∝/2 for 17 d.f = 2.11

Putting the values

(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2

(21-27) - 2.11√5.6²/10+ 4.3²/14 < u1-u2 <(21-27)  +2.11√5.6²/10+4.3²/14

6- 2.11*2.111 < u1-u2 <  ( 6 )  +2.11*2.111

6- 4.4521 < u1-u2 <  ( 6 )  +5.294

- 1.5479 < u1-u2 <  10.4521

The confidence Interval is [- 0.7053  10.4521]

a: The  hypotheses  are

H0: μ1=μ2    against the claim Ha :μ1≠μ2

The claim is that there is a difference in the average time spent by the two services

b. The critical value for t∝/2 for 17 d.f  t > 2.508 and  t < -2.111

The degrees of freedom is calculated using

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

= 17

c. The test statistic is

t= (x1`-x2`)  /√s1²/n1 + s2²/n2

t= (21-27)  /√5.6²/10+ 4.3²/14

t= -6/2.111

t= -2.8422

d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.

5 0
3 years ago
In a class of 23 student the girls were 7 more than the boys how many boys were in the class​
Softa [21]

Answer:

x=# of boys

x+7=# of girls

x+x+7=25

2x+7=25

2x=25-7

2x=18

x=18/2

x=9 boys

x+7=16 girls

 

If you don't understand variables use trial and error.

 

Boys     Girls

1           8

2           9

3           10

4           11

5           12

6           13

7           14

8           15

9           16   9+16=25 students

 

You could start this way...

 

Boys     Girls

12        13

11        14

10        15

9          16     16 is 7 more than 9

5 0
3 years ago
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