Emily researched the average prices of desktop PCs worldwide since 2000. She could only find data from 2005 to 2010. She created
a scatter plot of the data and
drew a linear model.
Describe the Trend Line using the words: Slope, Rate of Change, Y-Intercept and Initial Value. (Must use each word for full credit)
What is the relationship between the average price of PCs and the number of years that have passed since 2000?
drew a linear model.
Describe the Trend Line using the words: Slope, Rate of Change, Y-Intercept and Initial Value. (Must use each word for full credit)
What is the relationship between the average price of PCs and the number of years that have passed since 2000?
1 answer:
Answer: There is a linear relationship between the average price of PCs and the number of years that have passed since 2000.
Step-by-step explanation:
From the given graph, we can see there is a straight line , which shows that there is a linear relationship between both quantities.
As the number years increases the average price of PCs decreases.
The given equation of the line is , which shows that the slope of the line is -39, i.e the rate of decrease in the average price of PCs with respect to the the number of years that have passed since 2000.
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Answer:
A. Increase by 2
Step-by-step explanation:
Given that a fitted multiple regression equation is
This is a multiple regression line with dependent variable y and independent variables x1, x2, x3 and x4
The coefficients of independent variables represent the slope.
In other words the coefficients represent the rate of change of y when xi is changed by 1 unit.
Given that x3 and x4 remain unchanged and x1 increases by 2 and x2 by 2 units
Since slope of x1 is 5, we find for one unit change in x1 we can have 5 units change in y
i.e. for 2 units change in x1, we expect 10 units change in Y
Similarly for 2 units change in x2, we expect -2(4) units change in Y
Put together we have
change in y
Since positive 2, there is an increase by 2
A. Increase by 2