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ivolga24 [154]
3 years ago
12

Renee notices that her laptop is decreasing in value over time. She paid $1,160 for the laptop, and after 4years, she sees that

it is worth $740.
Find a linear function V(t) to model the value of the laptop as a function of t, where t is time in years.
Give your answer in the form V(t)=mt+b. Do not use a comma in any numbers.
Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0
Using the formula for slope, we can find out that (1160 - 740) \div (0 - 4) =  - 105 So -105 is the slope, and because she bought her laptop at $1160, the y-intercept is 1160. This means that the equation is V(t)=-105t+1160.
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The estimate regression equation for a model involving two independent variables and 10 observations follows.
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Answer:

a) b_1 = 0.5906\\b_2 = 0.4980

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Step-by-step explanation:

We are given the following information:

The estimate regression equation for a model involving two independent variables and 10 observations follows:

y = 29.1270 + 0.5906x_1 + 0.4980x_2

where x_1, x_2 are the two independent variable and y is the dependent variable.

a) The regression line is of the form:

y = b_0 + b_1x_1 + b_2x_2\\\text{where } b_0 \text{ is the y-intercept and }b_1, b_2\text{ are the coefficients of} x_1, x_2\text{ respectively}

Comparing, we get,

b_1 = 0.5906\\b_2 = 0.4980

These are the coefficients of x_1, x_2 respectively, and helps us to know the the significance of the independent variable in predicting the independent variable.

b) We have to estimate y when

x_1 = 180 \text{ and } x_2 = 310\\y = 29.1270 + 0.5906x_1 + 0.4980x_2\\\text{Putting values}\\y = 29.1270 + 0.5906(180) + 0.4980(320)\\y = 289.815

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