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

The slope means that the number of donuts reduces by 1.36 as people get older.

A linear equation is in the form:

y = mx + b;

where y, x are variable, m is the slope of the line and b is the y intercept.

Let y represent the number of donut ate by the customers in a month and x represent their age

Given the regression line:

y = 47 - 1.36x

The slope means that the number of donuts reduces by 1.36 as people get older.

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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.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752