Regression methods were used to analyze the data from a study investigating the relationship between roadway surface temperature (x) and pavement deflection (y). summary quantities were n = 20.
∑yi=12.75,∑y2i=8.86,∑xi=1478,∑x2i=1 43,215.8,and∑xiyi=1083.67
. a. calculate the least squares estimates of the slope and intercept. graph the regression line. estimate σ^2. b. use the equation of the fitted line to predict what pavement deflection would be observed when the surface temperature is 85°f. c. what is the mean pavement deflection when the surface temperature is 90°f? d. what change in mean pavement deflection would be expected for a 1°f change in surface temperature?

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

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dont know

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answer: none of these answers are correct only the second half is

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d. corresponding side lengths in similar triangles are proportional in length.

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