A regression analysis was performed to determine the relationship between the costs of a product (y), the time to make the product (x 1), the number of different materials used (x2), and the amount spent on marketing the product (x 3). The estimated regression equation is ý = 83 - 2x1 + 6x 2 + 1.1X 3. What is the estimated cost if the time to make the product is 5 hours, the number of different materials used is 4, and the amount spent on marketing is $100?

a. 83
b. 185.4
c. 213
d. 205.4

Correct option: (b) 185.4.

Step-by-step explanation:

The regression analysis is used to predict the value of the response variable (Y) based on one or more than one experimental variable(s) (X).

The general form of the regression equation is:

Here,

α = intercept

= slope coefficient, (i = 1, 2, 3, ...n)

The regression equation of costs of a product (y) based on the time to make the product (x₁), the number of different materials used (x₂), and the amount spent on marketing the product (x₃) is:

The information provided is:

x₁ = 5 hours

x₂ = 4

x₃ = $100

Compute the value of y for the given values as follows:

Thus, the estimated cost of a product is $185.4.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

we can't see all full 4 options, but if this is the full option, than the very left one is correct:

-2/5 * -3 3/4

remake the question, adding a picture of all the question, or write down the full left and right answers.