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  3. a statistical program is recommended. consider the

A statistical program is recommended. Consider the following data for two variables, x and y. x 22 24 26 30 35 40 y 12 20 32 36 39 36 (a). Develop an...

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Basic Math

A statistical program is recommended.

Consider the following data for two variables, x andy.

x222426303540
y122032363936

(a). Develop an estimated regression equation for the data ofthe form

Å· = b0 + b1x.

(b). Use the results from part (a) to test for a significantrelationship between x and y. Use α = 0.05.

Find the value of the test statistic.

Find the p-value.

Is the relationship between x and ysignificant?

(c) Develop a scatter diagram for the data.

Does the scatter diagram suggest an estimated regressionequation of the form Å· = b0 + b1x +b2x2? Explain.

(d). Develop an estimated regression equation for the data ofthe form Å· = b0 + b1x +b2x2.

(e) Use the results from part (d) to test for a significantrelationship between x, x2, and y. Use α =0.05. Is the relationship between x, x2, and ysignificant?

Find the value of the test statistic.

Find the p-value.

(f). Use the model from part (d) to predict the value ofy when x = 25.

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