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An experiment resulted in observations on a single dependent variable and three independent…


An experiment resulted in observations on a single dependent variable and three independent variables.

a. Construct three separate scatter plots of y versus x1, y versus x2, and y versus x3. Describe the relationship in each plot.

b. Estimate the regression coefficients in the model Yi = β0 + β1x1i + β2x2i + β3x3i + Ei. Explain the relationship between the sign of each estimated regression coefficient and the scatter plots in part (a). c. Estimate the true mean value of Y when x1 = 210, x2 = 1.35, and x3 = 52.6.