The equation of a line is the following : y = 2 + 0.28 x 1 + 43.8 x 2 . What is

Question

The equation of a line is the following: y = 2 + 0.28x1 + 43.8x2.

What is the intercept of the line?

The intercept point of the line is 2

Is this equation a straight or curvilinear line, and why?

The line is straight as it will always increase by the same constant slope

Is this the equation for a simple linear equation or a multiple linear equation?

This is multiple linear equation . 0.28x1, 43.8x2

What are the two regression coefficients?

0.28x1, 43.8x2

If the statistical t-value for the second regression coefficient is 9.80, (assume R2 = 0.93142) is the coefficient statistically valid at the 95% confidence level? Why or why not? Explain.

1-r2= .0686. Yes because .93 falls inside the confidence curve of the T curve at the 95% confidence level.

Explanation / Answer

1.

Intercept of line is calculated below-

The equation of a line: y = 2 + 0.28x1 + 43.8x2.

Put x and y = 0, we get y intercept

Y = 2

2.

It is equation of plane because there are three variables.

3.

It is a simple linear equation.

4.

Two regression coefficients are 0.28 and 43.8

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