The scatterplot shown includes the (blue) least-squares regression line, whose equation is y = .975 + .005x, where y is calories (in thousands) and x is years after 1960. Choose the correct statement.
Answer: In the given regression equation, the calories are in thousands. Therefore, the slope 0.005 (0.005 x 1000 =5 calories) means the consumption is increasing at a rate of 5 calories per year.
Hence the option a. Consumption is increasing at a rate of 5 calories per year. is correct
Answer: a. Consumption is increasing at a rate of 5 calories per year.
Step-by-step explanation:
Given: The scatter-plot shown includes the (blue) least-squares regression line, whose equation is [tex]y = .975 + .005x[/tex], where y is calories (in thousands) and x is years after 1960.
Here, the slope of the line = 0.05 thousand=[tex]0.005\times1000=5[/tex]
We know that the slope of the line tells about the rate of change of function y with respect to x (independent variable).
Since, the slope of the given line is positive then the dependent variable increase with respect to the independent variable.
Therefore the consumption of calories is increasing at a rate of 5 calories per year.
