Worldwide, micro-finance loans serve almost 20 million people living in poverty; 74% of these clients are women. Data shows that women tend to make their payments more reliably than men, but more importantly, a loan in the hands of a woman has a better chance to change not just her life, but also to improve her children's opportunities and her community's prosperity. An organization studying these types of loans collected data from 159 randomly selected women using micro-finance for their manufacturing or agricultural businesses to look at the relationship between the average monthly revenues (in $US) for the businesses run by these women and the number of employees (both part- and full-time), the age of the business, the number of previous micro-finance loans, and whether the businesses were primarily selling locally or exporting their products. These data are shown below.

a. Based on these data, estimate the average monthly revenue of a business with 6 employees that is 7 years old, has had 2 previous micro-finance loans, and sells its products locally.

b. interpret the coefficient for the Export or Local Sales variable:

c. What are the null and alternate hypotheses that would be used to test if the model is significant overall. (Express symbolically if possible)

d. What is the p-value that would be used for the hypothesis test corresponding to the hypotheses in part c?

e. What are the null and alternate hypotheses that would be used to determine if there is a significant relationship between average montlhly revenues and whether the business sells locally or exports its products? (Express symbolically if possible)

f. What is the p-value that would be used for the hypothesis test corresponding to the hypotheses in part e?

data : for 159 business the data is given below-

Average Monthly Revenue 2793 1912 2663 2389 2517 2793 2542 2420 2500 2440 2351 2651 2584 2195 2565 2762 3325 2054 2526 2637 1959 2855 2255 2655 2490 2523 2236 2396 2371 2097 2167 2447 2407 2347 2663 2702 2555 2662 2838 2645 2642 2203 2456 2324 2148 2617 2435 2564 2611 2398 2805 2517 2249 2503 2516 2438 2570 2778 2175 2463 2778 2335 2391 2754 2610 2173 2296 2257 2481 2462 2467 2718 2891 2147 2598 2092 2257 2715 2556 2554 2534 2367 2686 2368 2714 2277 3005 2063 2614 2328 2295 2297 2231 2890 2684 2536 2691 3054 2610 2611 2798 2471 2553 2446 2639 2508 2713 3154 2748 2310 2107 2581 2401 2671 2274 2653 2272 2552 2610 2533 2256 2684 2263 2446 2243 2290 2646 2564 2714 2410 2303 2615 2585 2028 2065 2671 2141 2403 3148 2178 2522 2204 2498 2705 2410 2661 2440 2342 2504 3059 2578 2500 2836 2560 2503 2788 2618 2022 2239

Number of Employees 10 7 9 9 9 10 9 10 9 9 9 9 9 9 9 10 13 9 9 10 8 10 8 9 10 9 8 9 10 8 9 10 10 9 9 10 10 10 10 10 10 8 9 8 8 9 8 9 10 9 10 9 9 10 11 9 9 10 8 9 10 9 9 10 9 9 9 8 9 9 9 9 10 8 10 8 8 10 10 10 9 9 10 9 10 8 11 8 10 8 10 9 9 11 10 9 10 11 9 10 10 9 9 9 10 10 10 11 10 9 8 9 9 11 10 10 8 10 10 9 9 10 9 9 8 9 10 9 10 9 9 10 9 8 9 10 9 8 11 9 9 8 9 10 9 10 9 9 10 12 9 10 10 9 9 10 9 8 8

Age of Business 5 13 7 8 7 9 10 4 8 8 6 8 10 7 8 9 7 6 6 5 11 9 6 3 8 7 10 6 8 7 6 6 8 12 6 8 6 9 7 7 3 9 10 8 8 2 9 6 9 9 9 8 5 10 7 8 9 7 10 8 6 8 11 6 2 7 10 9 10 7 6 5 4 9 9 9 8 9 6 7 10 5 7 4 8 4 4 9 7 8 6 8 10 8 7 2 3 3 8 5 8 7 5 10 6 7 5 2 6 12 9 3 7 5 6 10 5 7 5 5 10 4 10 7 9 12 7 5 5 9 7 9 9 5 10 10 6 10 7 5 10 9 7 8 10 6 7 8 9 6 4 6 8 9 9 4 4 8 9

# previous loans 1 7 1 2 2 5 5 1 3 2 3 3 2 2 4 5 2 2 1 1 6 2 2 1 2 2 5 2 2 2 2 2 4 4 2 4 2 3 2 2 1 5 3 3 2 1 2 2 5 2 5 3 3 5 2 4 5 2 2 3 3 4 2 3 1 1 2 5 3 1 2 2 1 2 5 5 2 2 2 4 3 3 2 1 3 1 1 2 4 2 3 3 3 2 2 1 1 2 2 1 2 2 1 5 3 2 1 1 2 3 2 1 2 1 1 3 2 4 3 1 5 1 3 1 5 6 4 3 1 2 2 2 5 1 2 5 1 3 2 1 3 5 1 3 2 3 1 2 5 3 1 3 4 5 3 1 1 2 3

Export or Local Sales 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0

for export or local sales the 0 is for local sales and 1 stand for export