A study was made on the amount of converted sugar in a certain process at various...

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Statistics

A study was made on the amount of converted sugar in a certainprocess at various temperatures. The data were coded and recordedas follows:
Temperature, x converted sugar, y
1 8.1
1.1 7.8
1.2 8.5
1.3 9.8
1.4 9.5
1.5 8.9
1.6 8.6
1.7 10.2
1.8 9.3
1.9 9.2
2 10.5

a) Estimate the linear regression line.
b) Estimate the mean amount of converted sugar produced when thecoded temperature is 1.75.
c) Plot the residuals versus temperature. Comment.
d) Compute SSE and estimate the variance.
e) Construct a 95% confidence interval for intercept;
f) Construct a 95% confidence interval for slope.
g) Use an ANOVA approach to test the hypothesis that slope = 0against the alternative hypothesis slope â‰ 0 at the 0.05 level ofsignificance.

Answer & Explanation Solved by verified expert

4.5 Ratings (653 Votes)

DataTemperature xconverted sugar y18111781285139814951589168617102189319922105Using Excela Excel Steps for obtaining the estimates of regressioncoefficients1 Go to DATA Select Data Analysis2 Go to Regression and click on OK3 Input Y range and X range by selecting data on convertedsugar and temperature one by one Tick on Label if labels areincluded in the input data4 Press OKExcel OutputSUMMARY OUTPUTRegression StatisticsMultiple R0707026444R Square0499886392Adjusted R Square0444318214Standard Error0632607239Observations11ANOVAdfSSMSFSignificance See Answer

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Temperature, x	converted sugar, y
1	8.1
1.1	7.8
1.2	8.5
1.3	9.8
1.4	9.5
1.5	8.9
1.6	8.6
1.7	10.2
1.8	9.3
1.9	9.2
2	10.5