Testing for a Linear Correlation. In Exercises 13–28, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6. Use a significance level of a = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-2 exercises.)

In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). The table shows the number of inches of rainfall and the yield (in bushels per acre). Use for problem #17 and #18. Rainfall (in inches), x 9.8 8.1 12.7 11.8 18.1 9.6 6.3 14.9 15.3 Yield (bushels per acre), y 48.5 44.2 56.8 57 80.4 47.2 29.9 74 76.8 17. Compute the linear correlation coefficient between the two variables above. (Round to thousandths.) 18. Determine whether a linear relation exists. (Show work to justify answer.)

Problems 4 thru 16

A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s)       Annual Revenue ($ millions)11.5                   118 10.0                   135 9.0                     100 5.5                     37 3.3                     32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA   df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677     Total 4 8925.2           Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…

A saleswoman works for a base salary of $360 a month plus 7% commission on all the merchandise she sells beyond $6,000. If she sells $8,700 worth of merchandise in one month, what will her total salary be for the month? The total salary for the month would be $ Enter an integer or decimal number [more..]

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