QUESTION 4 (35 points) The following graph represents a scatter piot and the Ine

Question

QUESTION 4 (35 points) The following graph represents a scatter piot and the Inear regressiom Iinve fe an esperime the evaporation rate of a fluid at various temperatures Note the equationan plot and the inear regression line for an expeciment inwoling provided on the graph. the statistical data Fitted Line Plot Evaporation Rabe-15.37+0.59511 al Determine the slope of the regression line. b) How much does the evaporation rate increase for each 10-degree increase in temperature? c) Is the regression line a reliable predictor in this study? Why? d) Approximately, what is the evaporation rate at S0F? e) Predict the value of evaporation rate at 150F. Do you have confidence in this prediction

Explanation / Answer

a) Given:

ER = - 15.37 + 0.5951 * T

So, slope is 0.5951

b) For each 1 degree increase, ER increases by 0.5951

So, if Temp increases by 10 degree ER will increase by 10 * 0.5951 = 5.951

c) yes because R square value is 93.8% which is very good and it tells us regression line is a good predictor.

d) When T = 80F

ER = - 15.37 + 0.5951 * 80

ER = 32.238

e) When T = 150F

ER = - 15.37 + 0.5951 * 150

ER = 73.895

Yes, i have confidence in this prediction.

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