Question

The Great Lakes Auto Maker is interested in studying how fuel consumption is related to the number of tests for the engines for its cars on a certain route between Grand Rapids and Detroit. A random sample of 10 cars on this route has yielded the data in the table below. Do parts (A), (B) and C

No. Test Engine	Units/Limits
22	48
25	52
37	91
31	80
47	114
43	98
39	87
50	122
40	100
29	70

a) Sketch a scatter plot for the data in the space below and describe the relationship in terms of form, direction, and strength.

b) Compute the correlation coefficient r, the regression coefficients and write the equation of the regression line. Round each value to two decimal places.

c)  Perform a significance test to determine predictions of fuel consumptions for various numbers of tests for the engines. Use a significance level of 0.05 and the P-value to make your decision. Enter all answers neatly in the box below. The hypotheses have been filled in for you. If you determine that a significant linear relationship does exist, then use your regression model computed in part (B) to find the fuel consumption for a car on this route with 25 tests on this engine.

Ho: There is no linear relationship between the number of tests and fuel consumption.

Ha: There is a linear relationship between the number of tests and fuel consumption.

Test Statistic:

P-value:

Result of the hypothesis test (Decision):

Interpretation of result in complete English sentences, using the context of the problem:

Prediction for 25 tests, if appropriate (otherwise, leave blank):

Answer 1

please like if it really helps you Thank you