Reference no: EM131137273
To judge whether it was worthwhile to fit a parabola in Exercise 84 and not just a straight line, test the null hypothesis β2 = 0 against the alternative hypothesis β2 
0 at the 0.05 level of significance.
Exercise 84
The following data pertain to the demand for a product (in thousands of units) and its price (in cents) charged in five different market areas:
Fit a parabola to these data by the method suggested in Exercise 83.
Exercise 83
The regression models that we introduced in Sections 2 and 6 are linear in the x's, but, more important, they are also linear in the β's. Indeed, they can be used in some problems where the relationship between the x's and y is not linear. For instance, when the regression is parabolic and of the form
we simply use the regression equation μY|x = β0 + β1x1 + β2x2 with x1 = x and x2 = x2. Use this method to fit a parabola to the following data on the drying time of a varnish and the amount of a certain chemical that has been added:
Also, predict the drying time when 6.5 grams of the chemical is added.
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Used in some problems where the relationship
: The regression models that we introduced in Sections 2 and 6 are linear in the x's, but, more important, they are also linear in the β's. Indeed, they can be used in some problems where the relationship between the x's and y is not linear. For in..
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Data pertain to the demand for a product
: To judge whether it was worthwhile to fit a parabola in Exercise 84 and not just a straight line, test the null hypothesis β2 = 0 against the alternative hypothesis β2 0 at the 0.05 level of significance.
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