It has been hypothesized that overall academic success for college freshmen as measured by grade point average is a function of IQ scores (X1) hours spent studying each week (X2), and one's high school average (x3). Suppose the regression equation is Y (this is Y hat)=6.9+0.055x1 (the 1 is subscripted)+0.107x2 ( the 2 is subscripted)+0.0853X3 (the 3 is subscripted). The multiple standard error is 6.313 and R^2=0.826. A. What is the predicted GPA for a student with a IQ of 108, 32 hours spent studying per week and a high school average of 82?
B. Which independent variable has the smallest affect on GPA?
C. For which independent variable does a unit change have the greatest effect on the GPA?

23.2586 ; IQ ; hours spent studying per week

Step-by-step explanation:

Given the regression model:

y = 6.9+0.055x1 +0.107x2 + 0.0853X3.

IQ scores = (X1)

Hours spent studying each week = (X2),

one's high school average = (x3)

The multiple standard error is 6.313 and R^2=0.826.

What is the predicted GPA for a student with a IQ of 108, 32 hours spent studying per week and a high school average of 82?

X1 = 108 ; X2 = 32 ; X3 = 82

y = 6.9 + 0.055(108) + 0.107(32) + 0.0853(82)

y = 23.2586

B.

The Independent variable with the smallest effect on GPA is the variable with the smallest Coefficient, which is IQ with a Coefficient of 0.055

C.

The Independent variable whiae unit change has the greatest effect on GPA is X2, hours spent studying per week as it has the highest Coefficient of all independent variables with a Coefficient value of 0.107.

"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).

step-by-step explanation:

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph