For the multiple regression model Y with hat on top equals 40 plus 15 X subscript 1 minus 10 X subscript 2 plus 5 X subscript 3,
1 answer:
Answer:
When x1 and x2 decrease 4 units, y decreases by 20 units
Step-by-step explanation:
The regression model is
We have to calculate y for a decrease of 4 units in x1 and x2. For this we have to calculate the variation of y in function of x1 and x2.
As it is a linear regression model, we have:
For a variation in 4 units of x1 and x2, we have
You might be interested in
Answer:
a. X~N(2,885, 651)
b. 0.086291
c. 0.00058
d. 3213.10 calories
Step-by-step explanation:
a. -A normal distribution is expressed in the form X~N(mean, standard deviation).
-Let X a random variable denoting the number of calories consumed.
-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.
-This distribution is expressed as X~N(2,885, 651)
b. The probability that less than 2000 calories are consumed is calculated using the formula:
#substitute the given values in the formula to solve for P:
Hence, the probability of consuming less than 2000 calories is 0.08691
c. The proportion of customers consuming more than 5000 calories is calculated as:
Hence, the proportion of customers consuming over 5000 calories is 0.00058
d. The least amount of calories to get the award is calculated as:
1% is equivalent to a z value of 0.50399.
-We equate this to the formula to solve for the mean consumption:
Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.