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1 A research team conducted a chemical response study of the activity of a biological cell associated with the amount of chemical input to
1 A research team conducted a chemical response study of the activity of a biological cell associated with the amount of chemical input to the cell. The team collected data on n = 125 cells. The average chemical input was 973 units, with an observed standard deviation of 104 units (the divisor in the underlying variance calculation was n - 1). The average chemical response was 3,152 units, with an observed standard deviation of 369.1 units (the divisor in the underlying variance calculation was n-1). The Pearson product moment correlation coefficient between the two variables was 0.92. The research team seeks to estimate the regression of the chemical response on the chemical input to the cell. a. Complete the analysis of variance table for the regression of the chemical response on the chemical input to the cell. Test the null hypothesis that the slope of this regression is zero at levels of significance 0.10, 0.05, and 0.01. 20 points. b. Find the estimated regression of the chemical response on the chemical input to the cell. Find the 95% confidence interval for the slope. 20 points. C. Use the least-squares equation to estimate the chemical response to a chemical input of 1,200 units. What is the 95% confidence interval for the chemical response of cells subjected to a chemical input of 1,200 units. 20 points.
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