A life insurance company wishes to examine the relationship between the amount of life insurance held by a family and family income. From a random sample of households, the company collected the accompanying data. The data are in units of thousands of dollars. INSUR INCOME 97 38 141 29 y = x = Let INSUR 280 75 INCOME 303 81 453 137 357 77 199 43 251 53 807 184 147 45 272 70 537 128 527 117 245 55 483 116 673 204 194 46 154 51 163 48 280 69 507 140 464 136 321 71 873 206 476 144 574 111 251 65 497 130 826 171 133 32 259 82 281 73 446 146 332 77 48 219 208 55 180 48 169 42 273 69 502 127 547 126 281 80 428 143 370 77 221 49 214 51

The table below shows the value, V, of an investment (in dollars) n years after 1992. 1 3 7 4120 4283 4919 12 14 5874 6050 n V(n) 6663 Use your calculator to determine the exponential regression equation that models the set of data above. Round the "a" value to the nearest whole number, and round the "b" value to three decimals. Use the indicated variables and proper function notation. V(n) Based on the your regression model, what is the percent increase per year? The value of this investment is increasing at a rate of % per year. Based the your regression model, what is value of this investment in the year 1992? Round your answer to the nearest dollar. The value of this investment is $ in the year 1992. Based on the your regression model, what is value of this investment in the year 2002? Round your answer to the nearest dollar. The value of this investment is S in the year 2002.

2. Participants were kept awake for a certain number of hours before given a visuospatial task. Researchers measured how many correct responses each participant had. Results are shown below. Use alpha = .01. Number of Correct Hours Kept Awake (X) Responses (Y) 21 X = 10 SS, = 422 Y = 10 SS, = 690 2 4 19 %3D 6. 13 SPxy =-525 ху 5 20 S, =5.70 S, = 7.29 9. 11 10 9. 14 5 15 5 17 2 18 1 17 1 13 4 18 8 11 A. Graph the data. B. State the hypotheses. C. Make a decision about the null. a. Calculate Pearson's r i. Decision about null hypothesis? b. Calculate effect size i. Interpret effect size. D. State your conclusion. E. Relate your conclusion to the research. F. Calculate the regression formula. G. If someone was kept awake for 9 hours, what is the predicted number of correct responses?

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