The yield of a chemical is thought to vary depending on the temperature of the r
ID: 3222863 • Letter: T
Question
The yield of a chemical is thought to vary depending on the temperature of the reaction. Data was randomly collected from this process and the data can be found in the table. Using this data, set up the scatter plot on your calculator and determine the linear regression line: y = 17.0 + 1.9952 x and the correlation coefficient: r = 0.992 If the data shows a linear relationship, determine if it's positive or negative: Positive Using this, set up the hypothesis test for the true slope of the regression line: H0: beta = 0 Ha: beta Now using the data, determine the test statistic: 37.41 and p-value 0.000 State your conclusion: There is (is/is not) statistically significant evidence at the .05 level of a linear relationship between temperature and yield. If your p-value was significant, you can run a 95% confidence interval for the true slope of the relationship: We are 95% confident that as the temperature increases by 1 unit, the yield goes Up (up/down) between 1.8848 and 2.1055.Explanation / Answer
Null and alternate hypothesis for slope of the regression line
H0: beta = 0
H1: beta not equals to zero
Conclusion:
As p-value is less than significance level, we reject null hypothesis.
There is statistically significant evidence at 0.05 level of a significance linear relationship between temperature and yield.
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