Suppose the simple linear regression equation y=55 + .33*x describes mathematica

Question

Suppose the simple linear regression equation y=55 + .33*x describes mathematically the linear relationship between the price of a textbook and the number of pages in that textbook. Based on this equation, identify the following: dependent variable: independent variable slope (actual value): y-intercept (actual value): Is the correlation between x and y positive or negative? What is the price of a textbook that has 100 pages? Interpret the slope specifically in this situation: Interpret the v-intercept specifically in this situation:

Explanation / Answer

y = 55+0.33*x

Here Dependable variable is y as it depends on what value is there for x and then y gets calculated using this expression

Independable variable is x as its doesn't depend on any other variable here in expression and holds individual value

As here we dont have range for x and it totally depends on x value if its negative and a large value like -1000 then correlation becomes negative

Here we are representing number of pages by x and price of text book by y
Hence when x = 100
y = 55+ .33*100
y = 55+33
y = 88

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